************************************************************ * * * COMPUTER OUTPUT OF FREQUENCY ANALYSIS OF RAINFALL DATA * * (Ver. 98. 1) * * by National Institute for Distaster Prevention * * Hydro-Engineering Laboratory, Yonsei University * * * ************************************************************ **************************** * BASIC STATISTICS * **************************** BASIC STATISTICS FOR RAINFALL DATA OF (UNBIASED ESTIMATES) RAINFALL MEAN STANDARD COEFF. COEFF. DURATION DEV. VARIATION SKEWNESS 10Mi 16.2 4.1 .255 .119 1H 42.4 13.2 .312 -.067 2H 57.3 19.2 .335 1.068 3H 64.6 22.0 .341 1.148 4H 73.8 26.4 .359 1.661 5H 80.1 30.2 .377 2.118 6H 85.2 30.4 .356 1.942 8H 94.4 34.3 .364 1.762 9H 99.5 35.9 .361 1.693 12H 109.1 41.1 .377 1.763 13H 113.0 43.2 .382 1.910 14H 116.7 44.7 .383 1.832 16H 122.3 46.5 .380 1.687 18H 125.6 46.8 .372 1.608 24H 134.9 48.1 .356 1.433 **************************** * PRELIMINARY TESTS * **************************** PRELIMINARY TESTS BASED ON RANDOMNESS TESTS RAINFALL ANDERSON CORRELOGRAM TEST RUN TEST SPEARMAN RANK CORR. COEFF. TEST TURNING POINT TEST DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 1.000 .450 X 1.338 1.960 O .944 2.034 O .270 1.960 O 1H .000 .450 O .697 1.960 O .502 2.034 O 1.487 1.960 O 2H .000 .450 O .174 1.960 O .105 2.034 O 1.487 1.960 O 3H .000 .450 O .510 1.960 O .044 2.034 O .541 1.960 O 4H .000 .450 O .878 1.960 O .545 2.034 O .676 1.960 O 5H .000 .450 O .690 1.960 O .395 2.034 O .676 1.960 O 6H .000 .450 O .382 1.960 O .654 2.034 O .676 1.960 O 8H .000 .450 O .040 1.960 O .625 2.034 O .676 1.960 O 9H .000 .450 O .143 1.960 O .705 2.034 O .676 1.960 O 12H .000 .450 O .000 1.960 O .410 2.034 O .946 1.960 O 13H .000 .450 O .143 1.960 O .116 2.034 O .946 1.960 O 14H .000 .450 O .673 1.960 O .347 2.034 O .135 1.960 O 16H .000 .450 O .878 1.960 O .661 2.034 O .135 1.960 O 18H .000 .450 O .878 1.960 O .993 2.034 O .135 1.960 O 24H .000 .450 O .174 1.960 O 1.429 2.034 O .135 1.960 O LOG SIGN IS INVALID UPPER BOUND= -1.504244.LT. OBSERVED MAX.= 3.202746 LOG SIGN IS INVALID UPPER BOUND= -1752.600409.LT. OBSERVED MAX.= 4.194190 XK IS POSITIVE .036 LOG SIGN IS INVALID LOG SIGN IS INVALID LOWER BOUND = 88053.60492 .GT. OBSERVED MIN = 49.80000 LOWER BOUND = 65509.54974 .GT. OBSERVED MIN = 68.10000 LOWER BOUND = 77666.81878 .GT. OBSERVED MIN = 68.30000 ******************************************* * PARAMETER ESTIMATION & VALIDITY CHECK * ******************************************* (1) METHOD OF MOMENTS PARAMETER ESTIMATION OF THE GAM2 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 1.052 15.437 O 1H .000 16.4 66.3 4.138 10.245 O 2H .000 28.6 110.6 6.432 8.917 O 3H .000 34.4 129.7 7.504 8.603 O 4H .000 42.0 159.2 9.480 7.780 O 5H .000 49.8 196.5 11.365 7.050 O 6H .000 49.6 197.8 10.812 7.879 O 8H .000 49.7 215.9 12.487 7.563 O 9H .000 58.2 217.9 12.939 7.688 O 12H .000 64.0 236.0 15.522 7.028 O 13H .000 68.1 261.0 16.514 6.843 O 14H .000 68.3 273.4 17.119 6.815 O 16H .000 68.3 287.1 17.670 6.920 O 18H .000 68.2 287.5 17.413 7.213 O 24H .000 75.1 294.5 17.125 7.879 O PARAMETER ESTIMATION OF THE GAM3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi -40.183 9.8 24.6 .303 186.311 O 1H 362.693 16.4 66.3 -.548 584.644 X 2H 28.242 28.6 110.6 12.672 2.297 O 3H 33.541 34.4 129.7 15.620 1.986 O 4H 48.001 42.0 159.2 27.149 .949 X 5H 57.072 49.8 196.5 39.499 .584 X 6H 59.913 49.6 197.8 36.436 .694 X 8H 62.902 49.7 215.9 37.390 .844 X 9H 65.188 58.2 217.9 37.540 .913 X 12H 71.334 64.0 236.0 44.849 .842 X 13H 76.404 68.1 261.0 50.989 .718 X 14H 77.199 68.3 273.4 50.608 .780 X 16H 77.678 68.3 287.1 48.450 .920 X 18H 78.552 68.2 287.5 46.484 1.012 X 24H 80.642 75.1 294.5 42.567 1.275 X PARAMETER ESTIMATION OF THE GEV DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi 14.703 9.8 24.6 4.040 .240 O 1H 37.819 16.4 66.3 13.387 .299 O 2H 48.754 28.6 110.6 15.227 .013 O 3H 54.647 34.4 129.7 17.145 -.001 O 4H 61.617 42.0 159.2 18.549 -.073 O 5H 66.255 49.8 196.5 19.545 -.119 O 6H 71.234 49.6 197.8 20.237 -.103 O 8H 78.659 49.7 215.9 23.643 -.084 O 9H 82.998 58.2 217.9 25.017 -.076 O 12H 90.176 64.0 236.0 28.321 -.084 O 13H 93.133 68.1 261.0 28.966 -.100 O 14H 96.114 68.3 273.4 30.378 -.092 O 16H 100.925 68.3 287.1 32.450 -.076 O 18H 104.157 68.2 287.5 33.142 -.066 O 24H 112.980 75.1 294.5 35.268 -.044 O PARAMETER ESTIMATION OF THE GUM DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi 14.381 9.8 24.6 3.223 .000 O 1H 36.439 16.4 66.3 10.328 .000 O 2H 48.707 28.6 110.6 14.975 .000 O 3H 54.651 34.4 129.7 17.161 .000 O 4H 61.856 42.0 159.2 20.617 .000 O 5H 66.548 49.8 196.5 23.529 .000 O 6H 71.537 49.6 197.8 23.664 .000 O 8H 78.988 49.7 215.9 26.775 .000 O 9H 83.330 58.2 217.9 27.973 .000 O 12H 90.572 64.0 236.0 32.084 .000 O 13H 93.563 68.1 261.0 33.682 .000 O 14H 96.553 68.3 273.4 34.845 .000 O 16H 101.353 68.3 287.1 36.241 .000 O 18H 104.560 68.2 287.5 36.465 .000 O 24H 113.294 75.1 294.5 37.479 .000 O PARAMETER ESTIMATION OF THE LGU2 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 .000 .000 X 1H .000 16.4 66.3 .000 .000 X 2H .000 28.6 110.6 .000 .000 X 3H .000 34.4 129.7 54.747 4.695 O 4H .000 42.0 159.2 62.034 4.520 O 5H .000 49.8 196.5 66.829 4.358 O 6H .000 49.6 197.8 71.731 4.542 O 8H .000 49.7 215.9 79.244 4.473 O 9H .000 58.2 217.9 83.583 4.500 O 12H .000 64.0 236.0 90.958 4.353 O 13H .000 68.1 261.0 94.002 4.311 O 14H .000 68.3 273.4 97.012 4.305 O 16H .000 68.3 287.1 101.810 4.329 O 18H .000 68.2 287.5 104.966 4.395 O 24H .000 75.1 294.5 113.602 4.542 O PARAMETER ESTIMATION OF THE LGU3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 .000 .000 X 1H .000 16.4 66.3 .000 .000 X 2H .000 28.6 110.6 .000 .000 X 3H -9128.909 34.4 129.7 54.643 536.455 O 4H -191.152 42.0 159.2 61.616 13.639 O 5H -97.978 49.8 196.5 66.255 8.402 O 6H -124.960 49.6 197.8 71.234 9.698 O 8H -200.528 49.7 215.9 78.658 11.817 O 9H -241.695 58.2 217.9 82.997 12.990 O 12H -243.482 64.0 236.0 90.176 11.790 O 13H -196.582 68.1 261.0 93.133 10.006 O 14H -233.462 68.3 273.4 96.114 10.856 O 16H -324.336 68.3 287.1 100.923 13.116 O 18H -389.871 68.2 287.5 104.155 14.921 O 24H -679.308 75.1 294.5 112.976 22.491 O PARAMETER ESTIMATION OF THE LN2 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 2.756 .251 O 1H .000 16.4 66.3 3.701 .305 O 2H .000 28.6 110.6 3.996 .326 O 3H .000 34.4 129.7 4.113 .332 O 4H .000 42.0 159.2 4.240 .348 O 5H .000 49.8 196.5 4.317 .364 O 6H .000 49.6 197.8 4.385 .346 O 8H .000 49.7 215.9 4.486 .352 O 9H .000 58.2 217.9 4.539 .350 O 12H .000 64.0 236.0 4.626 .365 O 13H .000 68.1 261.0 4.659 .369 O 14H .000 68.3 273.4 4.691 .370 O 16H .000 68.3 287.1 4.739 .367 O 18H .000 68.2 287.5 4.768 .360 O 24H .000 75.1 294.5 4.845 .346 O PARAMETER ESTIMATION OF THE LN3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi -88.433 9.8 24.6 4.650 .039 O 1H -551.574 16.4 66.3 6.387 .022 O 2H 1.269 28.6 110.6 3.971 .333 O 3H 4.476 34.4 129.7 4.033 .355 O 4H 21.869 42.0 159.2 3.834 .481 O 5H 31.818 49.8 196.5 3.713 .574 O 6H 33.029 49.6 197.8 3.809 .540 O 8H 30.363 49.7 215.9 4.034 .502 O 9H 30.215 58.2 217.9 4.119 .488 O 12H 32.372 64.0 236.0 4.214 .503 O 13H 37.699 68.1 261.0 4.179 .533 O 14H 36.002 68.3 273.4 4.256 .517 O 16H 32.242 68.3 287.1 4.382 .486 O 18H 31.220 68.2 287.5 4.438 .469 O 24H 27.552 75.1 294.5 4.585 .427 O PARAMETER ESTIMATION OF THE LP3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 .160 .000 X 1H 4.375 16.4 66.3 -.184 3.723 O 2H .000 28.6 110.6 .329 .000 X 3H -11.568 34.4 129.7 .007 2328.179 O 4H 2.332 42.0 159.2 .055 34.912 O 5H 3.124 49.8 196.5 .089 13.550 O 6H 3.154 49.6 197.8 .079 15.624 O 8H 2.799 49.7 215.9 .063 27.046 O 9H 2.698 58.2 217.9 .057 32.293 O 12H 2.701 64.0 236.0 .059 32.614 O 13H 3.054 68.1 261.0 .071 22.775 O 14H 2.873 68.3 273.4 .064 28.569 O 16H 2.435 68.3 287.1 .051 45.150 O 18H 2.266 68.2 287.5 .046 54.709 O 24H 1.556 75.1 294.5 .033 99.731 O PARAMETER ESTIMATION OF THE WBU2 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 17.808 4.454 O 1H .000 16.4 66.3 47.089 3.550 O 2H .000 28.6 110.6 63.947 3.286 O 3H .000 34.4 129.7 72.053 3.222 O 4H .000 42.0 159.2 82.539 3.046 O 5H .000 49.8 196.5 89.882 2.883 O 6H .000 49.6 197.8 95.309 3.068 O 8H .000 49.7 215.9 105.763 2.998 O 9H .000 58.2 217.9 111.354 3.026 O 12H .000 64.0 236.0 122.377 2.878 O 13H .000 68.1 261.0 126.843 2.836 O 14H .000 68.3 273.4 130.965 2.829 O 16H .000 68.3 287.1 137.211 2.853 O 18H .000 68.2 287.5 140.822 2.920 O 24H .000 75.1 294.5 150.945 3.068 O PARAMETER ESTIMATION OF THE WBU3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi 4.329 9.8 24.6 13.309 3.159 O 1H -3.760 16.4 66.3 50.999 3.901 O 2H 28.998 28.6 110.6 31.416 1.504 X 3H 33.379 34.4 129.7 34.343 1.438 O 4H 43.887 42.0 159.2 31.237 1.132 X 5H 51.084 49.8 196.5 28.558 .963 X 6H 54.248 49.6 197.8 31.196 1.020 X 8H 57.101 49.7 215.9 38.562 1.088 X 9H 59.443 58.2 217.9 41.702 1.118 X 12H 64.375 64.0 236.0 46.166 1.088 X 13H 68.459 68.1 261.0 45.106 1.031 X 14H 69.304 68.3 273.4 48.461 1.060 X 16H 70.276 68.3 287.1 54.205 1.121 X 18H 71.665 68.2 287.5 56.772 1.157 X 24H 75.296 75.1 294.5 64.001 1.248 X (2) METHOD OF MAXIMUM LIKELIHOOD PARAMETER ESTIMATION OF THE GAM2 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 1.060 15.323 O 1H .000 16.4 66.3 4.495 9.434 O 2H .000 28.6 110.6 5.686 10.086 O 3H .000 34.4 129.7 6.470 9.978 O 4H .000 42.0 159.2 7.474 9.868 O 5H .000 49.8 196.5 8.339 9.609 O 6H .000 49.6 197.8 8.178 10.417 O 8H .000 49.7 215.9 9.675 9.761 O 9H .000 58.2 217.9 10.039 9.909 O 12H .000 64.0 236.0 11.789 9.254 O 13H .000 68.1 261.0 12.326 9.168 O 14H .000 68.3 273.4 13.060 8.933 O 16H .000 68.3 287.1 13.948 8.766 O 18H .000 68.2 287.5 13.900 9.036 O 24H .000 75.1 294.5 14.098 9.571 O PARAMETER ESTIMATION OF THE GAM3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .326 9.8 24.6 1.084 14.686 O 1H 174.604 16.4 66.3 -1.296 102.002 O 2H 24.418 28.6 110.6 11.153 2.953 O 3H 32.228 34.4 129.7 15.290 2.114 O 4H 40.935 42.0 159.2 19.973 1.643 O 5H .000 49.8 196.5 .011********** X 6H 48.189 49.6 197.8 20.630 1.794 O 8H 46.467 49.7 215.9 20.309 2.362 O 9H 57.099 58.2 217.9 27.043 1.567 O 12H 63.316 64.0 236.0 33.977 1.347 O 13H .000 68.1 261.0 .026********** X 14H .000 68.3 273.4 .025********** X 16H 67.328 68.3 287.1 39.149 1.403 O 18H 65.965 68.2 287.5 34.615 1.723 O 24H 72.919 75.1 294.5 37.602 1.649 O PARAMETER ESTIMATION OF THE GEV DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi 14.775 9.8 24.6 3.968 .268 O 1H 38.442 16.4 66.3 13.492 .385 O 2H 48.511 28.6 110.6 14.180 -.043 O 3H 53.927 34.4 129.7 15.015 -.121 O 4H 60.991 42.0 159.2 15.318 -.217 O 5H 65.327 49.8 196.5 14.406 -.349 O 6H 70.784 49.6 197.8 16.043 -.254 O 8H 78.289 49.7 215.9 19.594 -.202 O 9H 81.702 58.2 217.9 18.919 -.291 O 12H 88.924 64.0 236.0 21.132 -.299 O 13H 91.854 68.1 261.0 21.688 -.316 O 14H 94.316 68.3 273.4 23.376 -.313 O 16H 99.084 68.3 287.1 26.456 -.258 O 18H 102.602 68.2 287.5 27.429 -.226 O 24H 110.968 75.1 294.5 29.393 -.212 O PARAMETER ESTIMATION OF THE GUM DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi 14.230 9.8 24.6 3.634 .000 O 1H 35.847 16.4 66.3 12.264 .000 O 2H 48.846 28.6 110.6 14.408 .000 O 3H 54.940 34.4 129.7 15.831 .000 O 4H 62.900 42.0 159.2 17.067 .000 O 5H 68.346 49.8 196.5 17.775 .000 O 6H 73.134 49.6 197.8 18.421 .000 O 8H 80.516 49.7 215.9 21.634 .000 O 9H 84.912 58.2 217.9 22.280 .000 O 12H 92.627 64.0 236.0 25.010 .000 O 13H 95.929 68.1 261.0 25.971 .000 O 14H 98.663 68.3 273.4 27.839 .000 O 16H 103.061 68.3 287.1 30.321 .000 O 18H 106.150 68.2 287.5 30.775 .000 O 24H 114.516 75.1 294.5 32.675 .000 O PARAMETER ESTIMATION OF THE LGU2 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 13.757 3.975 O 1H .000 16.4 66.3 33.558 2.703 O 2H .000 28.6 110.6 46.744 3.452 O 3H .000 34.4 129.7 52.763 3.655 O 4H .000 42.0 159.2 60.741 4.003 O 5H .000 49.8 196.5 66.260 4.387 O 6H .000 49.6 197.8 71.007 4.394 O 8H .000 49.7 215.9 77.833 4.005 O 9H .000 58.2 217.9 82.271 4.267 O 12H .000 64.0 236.0 89.575 4.157 O 13H .000 68.1 261.0 92.729 4.159 O 14H .000 68.3 273.4 95.082 3.974 O 16H .000 68.3 287.1 98.968 3.752 O 18H .000 68.2 287.5 102.045 3.764 O 24H .000 75.1 294.5 110.201 3.809 O PARAMETER ESTIMATION OF THE LGU3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 .000 .000 X 1H .000 16.4 66.3 .000 .000 X 2H .000 28.6 110.6 .000 .000 X 3H .000 34.4 129.7 .000 .000 X 4H .000 42.0 159.2 .000********** X 5H .000 49.8 196.5 .000********** X 6H .000 49.6 197.8 .000********** X 8H .000 49.7 215.9 .000********** X 9H .000 58.2 217.9 .000********** X 12H .000 64.0 236.0 .000********** X 13H .000 68.1 261.0 .000********** X 14H .000 68.3 273.4 .000********** X 16H .000 68.3 287.1 .000********** X 18H .000 68.2 287.5 .000********** X 24H .000 75.1 294.5 .000********** X PARAMETER ESTIMATION OF THE LN2 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 2.755 .261 O 1H .000 16.4 66.3 3.693 .341 O 2H .000 28.6 110.6 3.999 .314 O 3H .000 34.4 129.7 4.117 .313 O 4H .000 42.0 159.2 4.249 .309 O 5H .000 49.8 196.5 4.331 .308 O 6H .000 49.6 197.8 4.396 .297 O 8H .000 49.7 215.9 4.496 .309 O 9H .000 58.2 217.9 4.549 .306 O 12H .000 64.0 236.0 4.637 .316 O 13H .000 68.1 261.0 4.672 .316 O 14H .000 68.3 273.4 4.702 .323 O 16H .000 68.3 287.1 4.748 .329 O 18H .000 68.2 287.5 4.777 .324 O 24H .000 75.1 294.5 4.852 .317 O PARAMETER ESTIMATION OF THE LN3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi -27.414 9.8 24.6 3.772 .094 O 1H .000 16.4 66.3 6.273 .025 X 2H 12.960 28.6 110.6 3.706 .418 O 3H 23.196 34.4 129.7 3.591 .518 O 4H 34.158 42.0 159.2 3.489 .619 O 5H 44.985 49.8 196.5 3.261 .783 O 6H 42.375 49.6 197.8 3.558 .625 O 8H 38.766 49.7 215.9 3.866 .547 O 9H 50.780 58.2 217.9 3.659 .675 O 12H 55.936 64.0 236.0 3.726 .706 O 13H 60.461 68.1 261.0 3.681 .759 O 14H 60.825 68.3 273.4 3.745 .762 O 16H 57.353 68.3 287.1 3.946 .686 O 18H 54.370 68.2 287.5 4.079 .617 O 24H 59.363 75.1 294.5 4.142 .613 O PARAMETER ESTIMATION OF THE LP3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 .000********** X 1H .000 16.4 66.3 .000********** X 2H 1.806 28.6 110.6 .045 48.505 X 3H 3.070 34.4 129.7 .096 10.895 X 4H 3.573 42.0 159.2 .144 4.693 X 5H 3.868 49.8 196.5 .223 2.078 X 6H 3.785 49.6 197.8 .141 4.343 X 8H 3.664 49.7 215.9 .111 7.459 X 9H 3.973 58.2 217.9 .164 3.515 X 12H 4.076 64.0 236.0 .181 3.099 X 13H 4.166 68.1 261.0 .214 2.360 X 14H 4.170 68.3 273.4 .216 2.463 X 16H 4.106 68.3 287.1 .181 3.551 X 18H 4.025 68.2 287.5 .143 5.239 X 24H 4.121 75.1 294.5 .144 5.086 X PARAMETER ESTIMATION OF THE WBU2 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 17.827 4.448 O 1H .000 16.4 66.3 47.105 3.688 O 2H .000 28.6 110.6 64.020 3.129 O 3H .000 34.4 129.7 72.151 3.069 O 4H .000 42.0 159.2 82.610 2.856 O 5H .000 49.8 196.5 89.888 2.687 O 6H .000 49.6 197.8 95.344 2.831 O 8H .000 49.7 215.9 105.838 2.809 O 9H .000 58.2 217.9 111.472 2.840 O 12H .000 64.0 236.0 122.521 2.729 O 13H .000 68.1 261.0 126.943 2.680 O 14H .000 68.3 273.4 131.059 2.682 O 16H .000 68.3 287.1 137.308 2.713 O 18H .000 68.2 287.5 140.938 2.771 O 24H .000 75.1 294.5 151.092 2.903 O PARAMETER ESTIMATION OF THE WBU3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi 14.256 9.8 24.6 2.929 .408 X 1H 209.967 16.4 66.3 -168.311 -13.425 X 2H 117.205 28.6 110.6 -83.546 -3.685 X 3H 42.377 34.4 129.7 11.854 .522 X 4H 47.963 42.0 159.2 6.072 .363 X 5H 54.144 49.8 196.5 4.915 .330 X 6H 59.056 49.6 197.8 -2.142 .181 X 8H 63.103 49.7 215.9 -3.223 .156 X 9H 66.933 58.2 217.9 3.718 .287 X 12H 71.985 64.0 236.0 6.211 .319 X 13H 74.391 68.1 261.0 9.984 .374 X 14H 75.489 68.3 273.4 15.183 .443 X 16H 77.062 68.3 287.1 21.588 .519 X 18H 79.118 68.2 287.5 16.536 .440 X 24H 86.058 75.1 294.5 24.075 .525 X (3) METHOD OF PROBABILITY WEIGHTED MOMENTS PARAMETER ESTIMATION OF THE GAM2 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 1.118 14.531 O 1H .000 16.4 66.3 4.513 9.395 O 2H .000 28.6 110.6 6.215 9.227 O 3H .000 34.4 129.7 7.201 8.965 O 4H .000 42.0 159.2 8.118 9.085 O 5H .000 49.8 196.5 8.959 8.944 O 6H .000 49.6 197.8 8.708 9.783 O 8H .000 49.7 215.9 10.440 9.046 O 9H .000 58.2 217.9 10.927 9.103 O 12H .000 64.0 236.0 12.732 8.568 O 13H .000 68.1 261.0 13.262 8.521 O 14H .000 68.3 273.4 14.305 8.155 O 16H .000 68.3 287.1 15.406 7.936 O 18H .000 68.2 287.5 15.340 8.188 O 24H .000 75.1 294.5 15.697 8.596 O PARAMETER ESTIMATION OF THE GAM3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi -60.693 9.8 24.6 .232 331.456 O 1H 294.686 16.4 66.3 -.739 341.346 O 2H 25.574 28.6 110.6 11.992 2.650 O 3H 32.921 34.4 129.7 16.225 1.950 O 4H 45.780 42.0 159.2 26.111 1.071 X 5H 53.038 49.8 196.5 35.015 .774 X 6H 57.378 49.6 197.8 35.088 .793 X 8H 60.536 49.7 215.9 36.692 .924 X 9H 64.433 58.2 217.9 39.558 .886 X 12H 70.137 64.0 236.0 45.893 .849 X 13H 72.370 68.1 261.0 47.321 .859 X 14H 71.101 68.3 273.4 45.135 1.009 X 16H 69.472 68.3 287.1 41.987 1.257 X 18H 72.619 68.2 287.5 42.999 1.232 X 24H 75.412 75.1 294.5 40.929 1.454 X PARAMETER ESTIMATION OF THE GEV DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi 14.586 9.8 24.6 4.171 .217 O 1H 37.452 16.4 66.3 13.760 .272 O 2H 48.070 28.6 110.6 14.629 -.055 O 3H 53.627 34.4 129.7 15.878 -.102 O 4H 60.538 42.0 159.2 15.768 -.211 O 5H 65.184 49.8 196.5 15.607 -.281 O 6H 69.997 49.6 197.8 16.075 -.275 O 8H 77.224 49.7 215.9 19.383 -.242 O 9H 81.317 58.2 217.9 20.094 -.251 O 12H 88.515 64.0 236.0 22.338 -.261 O 13H 91.659 68.1 261.0 23.284 -.259 O 14H 94.534 68.3 273.4 25.750 -.225 O 16H 99.309 68.3 287.1 28.968 -.181 O 18H 102.312 68.2 287.5 29.194 -.184 O 24H 110.893 75.1 294.5 31.898 -.153 O PARAMETER ESTIMATION OF THE GUM DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi 14.257 9.8 24.6 3.438 .000 O 1H 35.987 16.4 66.3 11.111 .000 O 2H 48.599 28.6 110.6 15.161 .000 O 3H 54.566 34.4 129.7 17.307 .000 O 4H 62.416 42.0 159.2 19.645 .000 O 5H 67.715 49.8 196.5 21.506 .000 O 6H 72.560 49.6 197.8 21.889 .000 O 8H 79.892 49.7 215.9 25.208 .000 O 9H 84.197 58.2 217.9 26.470 .000 O 12H 91.833 64.0 236.0 29.895 .000 O 13H 95.080 68.1 261.0 31.051 .000 O 14H 97.762 68.3 273.4 32.747 .000 O 16H 102.197 68.3 287.1 34.775 .000 O 18H 105.295 68.2 287.5 35.188 .000 O 24H 113.616 75.1 294.5 36.918 .000 O PARAMETER ESTIMATION OF THE LGU2 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 13.984 5.062 O 1H .000 16.4 66.3 34.945 4.153 O 2H .000 28.6 110.6 47.168 4.120 O 3H .000 34.4 129.7 52.915 4.067 O 4H .000 42.0 159.2 60.551 4.091 O 5H .000 49.8 196.5 65.661 4.063 O 6H .000 49.6 197.8 70.537 4.229 O 8H .000 49.7 215.9 77.494 4.083 O 9H .000 58.2 217.9 81.685 4.095 O 12H .000 64.0 236.0 88.934 3.986 O 13H .000 68.1 261.0 92.063 3.976 O 14H .000 68.3 273.4 94.531 3.899 O 16H .000 68.3 287.1 98.732 3.852 O 18H .000 68.2 287.5 101.827 3.906 O 24H .000 75.1 294.5 110.040 3.991 O PARAMETER ESTIMATION OF THE LGU3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 .000 .000 X 1H .000 16.4 66.3 .000 .000 X 2H .000 28.6 110.6 .000 .000 X 3H .000 34.4 129.7 .000 .000 X 4H .000 42.0 159.2 .000********** X 5H .000 49.8 196.5 .000********** X 6H .000 49.6 197.8 .000********** X 8H .000 49.7 215.9 .000********** X 9H .000 58.2 217.9 .000********** X 12H .000 64.0 236.0 .000********** X 13H .000 68.1 261.0 .000********** X 14H .000 68.3 273.4 .000********** X 16H .000 68.3 287.1 .000********** X 18H .000 68.2 287.5 .000********** X 24H .000 75.1 294.5 .000********** X PARAMETER ESTIMATION OF THE LN2 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 2.783 .261 O 1H .000 16.4 66.3 3.753 .320 O 2H .000 28.6 110.6 3.981 .323 O 3H .000 34.4 129.7 4.086 .323 O 4H .000 42.0 159.2 4.193 .301 O 5H .000 49.8 196.5 4.257 .286 O 6H .000 49.6 197.8 4.325 .274 O 8H .000 49.7 215.9 4.432 .295 O 9H .000 58.2 217.9 4.482 .291 O 12H .000 64.0 236.0 4.568 .299 O 13H .000 68.1 261.0 4.603 .300 O 14H .000 68.3 273.4 4.642 .317 O 16H .000 68.3 287.1 4.699 .331 O 18H .000 68.2 287.5 4.726 .325 O 24H .000 75.1 294.5 4.809 .322 O PARAMETER ESTIMATION OF THE LN3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi -99.511 9.8 24.6 4.751 .036 O 1H -336.696 16.4 66.3 5.938 .036 X 2H 12.240 28.6 110.6 3.721 .419 O 3H 20.465 34.4 129.7 3.665 .492 O 4H 36.636 42.0 159.2 3.386 .675 O 5H 45.381 49.8 196.5 3.227 .801 O 6H 49.420 49.6 197.8 3.264 .791 O 8H 50.117 49.7 215.9 3.525 .730 X 9H 53.867 58.2 217.9 3.542 .746 O 12H 58.621 64.0 236.0 3.630 .763 O 13H 60.293 68.1 261.0 3.677 .759 O 14H 56.563 68.3 273.4 3.853 .697 O 16H 51.163 68.3 287.1 4.072 .620 O 18H 54.375 68.2 287.5 4.069 .627 O 24H 53.772 75.1 294.5 4.231 .574 O PARAMETER ESTIMATION OF THE LP3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi 3.821 9.8 24.6 -.069 15.432 O 1H 4.443 16.4 66.3 -.171 4.376 O 2H 1.524 28.6 110.6 .042 58.823 O 3H 2.882 34.4 129.7 .085 14.460 O 4H 3.613 42.0 159.2 .159 3.992 O 5H 3.863 49.8 196.5 .220 2.121 O 6H 3.949 49.6 197.8 .214 2.090 X 8H 3.959 49.7 215.9 .191 2.815 X 9H 4.046 58.2 217.9 .204 2.471 O 12H 4.111 64.0 236.0 .203 2.590 O 13H 4.125 68.1 261.0 .194 2.813 O 14H 4.059 68.3 273.4 .173 3.712 O 16H 3.945 68.3 287.1 .144 5.584 O 18H 4.021 68.2 287.5 .149 5.073 O 24H 4.017 75.1 294.5 .130 6.422 O PARAMETER ESTIMATION OF THE WBU2 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi .000 9.8 24.6 17.828 4.368 O 1H .000 16.4 66.3 47.154 3.458 O 2H .000 28.6 110.6 63.813 3.425 O 3H .000 34.4 129.7 71.889 3.372 O 4H .000 42.0 159.2 82.103 3.396 O 5H .000 49.8 196.5 89.235 3.367 O 6H .000 49.6 197.8 94.638 3.534 O 8H .000 49.7 215.9 105.143 3.388 O 9H .000 58.2 217.9 110.727 3.400 O 12H .000 64.0 236.0 121.631 3.290 O 13H .000 68.1 261.0 126.014 3.280 O 14H .000 68.3 273.4 130.249 3.204 O 16H .000 68.3 287.1 136.604 3.157 O 18H .000 68.2 287.5 140.217 3.210 O 24H .000 75.1 294.5 150.425 3.296 O PARAMETER ESTIMATION OF THE WBU3 DISTRIBUTION RAINFALL XLO XMIN XMAX XSC XSH VALIDITY DURATION (LOCATION) (OBSERVED) (SCALE) (SHAPE) CHECK 10Mi 4.132 9.8 24.6 13.528 3.163 O 1H -5.590 16.4 66.3 52.974 3.963 O 2H 29.638 28.6 110.6 30.574 1.454 X 3H 35.426 34.4 129.7 31.570 1.306 X 4H 45.952 42.0 159.2 28.141 1.030 X 5H 52.533 49.8 196.5 26.099 .892 X 6H 56.900 49.6 197.8 26.925 .902 X 8H 60.317 49.7 215.9 33.609 .966 X 9H 64.095 58.2 217.9 34.539 .948 X 12H 69.642 64.0 236.0 38.148 .930 X 13H 71.887 68.1 261.0 39.866 .935 X 14H 71.138 68.3 273.4 45.604 1.004 X 16H 70.653 68.3 287.1 53.518 1.102 X 18H 73.689 68.2 287.5 53.681 1.092 X 24H 77.749 75.1 294.5 60.345 1.168 X PARAMETER ESTIMATION OF THE WAKEBY-4 DISTRIBUTION RAINFALL XLO a b c d DURATION (LOCATION) (PARAMETERS) 10Mi .000 9.912 112.685 -14.509 -.79 1H .000 22.162 46.555 -44.949 -.85 2H .000 37.887 44.588 -247.570 -.09 3H .000 41.371 68.474 -310.966 -.08 4H .000 49.931 74.378 193.506 .11 5H .000 53.867 143.340 131.864 .17 6H .000 58.358 150.755 143.087 .16 8H .000 62.540 141.257 284.934 .10 9H .000 65.747 176.686 294.603 .10 12H .000 72.997 99.641 193.108 .16 13H .000 76.429 80.081 171.938 .18 14H .000 75.892 91.067 374.726 .10 16H .000 76.399 102.291 7318.894 .01 18H .000 78.896 117.412 11826.138 .00 24H .000 83.886 140.566 -848.491 -.06 PARAMETER ESTIMATION OF THE WAKEBY-5 DISTRIBUTION RAINFALL XLO a b c d DURATION (LOCATION) (PARAMETERS) 10Mi 4.989 4.973 49.900 -14.493 -.79 1H 16.766 26.719 2.220 -51.828 -.16 2H 26.227 16.020 6.193 460.162 .04 3H 29.532 13.346 11.980 -553.276 -.04 4H 12.420 37.618 53.334 187.797 .12 5H 18.105 35.807 91.841 130.746 .17 6H 36.638 21.880 49.900 138.772 .16 8H 37.766 24.956 49.900 273.158 .11 9H 44.657 21.263 49.900 283.814 .11 12H 7.312 65.712 88.658 192.363 .16 13H 61.835 18.521 7.216 114.493 .23 14H 66.198 21.550 2.885 118.299 .23 16H 66.596 17.076 4.195 447.559 .09 18H 51.234 28.126 34.485 4488.195 .01 24H 69.149 15.957 16.142 -1075.120 -.05 ******************************************* * GOODNESS OF FIT TESTS * ******************************************* (1) METHOD OF MOMENTS GOODNESS OF FIT TEST FOR RAINFALL DATA OF GAM2 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 9.28 7.81 X .13 .22 O .13 .46 O 1H 1.50 7.81 O .12 .22 O .09 .46 O 2H .94 7.81 O .08 .22 O .05 .46 O 3H 1.78 7.81 O .11 .22 O .07 .46 O 4H 4.83 7.81 O .14 .22 O .17 .46 O 5H 9.83 7.81 X .15 .22 O .23 .46 O 6H 11.78 7.81 X .15 .22 O .25 .46 O 8H 18.17 7.81 X .14 .22 O .21 .46 O 9H 11.78 7.81 X .14 .22 O .21 .46 O 12H 6.78 7.81 O .16 .22 O .23 .46 O 13H 5.11 7.81 O .15 .22 O .22 .46 O 14H 2.06 7.81 O .12 .22 O .15 .46 O 16H 3.72 7.81 O .11 .22 O .13 .46 O 18H 7.89 7.81 X .12 .22 O .14 .46 O 24H 6.78 7.81 O .13 .22 O .11 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .92 .98 X 1H .97 .98 X 2H .96 .97 X 3H .95 .97 X 4H .93 .97 X 5H .91 .97 X 6H .91 .97 X 8H .93 .97 X 9H .92 .97 X 12H .92 .97 X 13H .92 .97 X 14H .93 .97 X 16H .94 .97 X 18H .94 .97 X 24H .94 .97 X GOODNESS OF FIT TEST FOR RAINFALL DATA OF GAM3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 7.61 5.99 X .13 .22 O .10 .46 O 2H 3.72 5.99 O .07 .22 O .05 .46 O 3H 3.17 5.99 O .07 .22 O .03 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .60 .98 X 2H .99 .97 O 3H 1.00 .97 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF GEV DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 4.67 5.99 O .12 .22 O .10 .46 O 1H 2.33 5.99 O .10 .22 O .03 .46 O 2H 3.33 5.99 O .06 .22 O .03 .46 O 3H 2.00 5.99 O .08 .22 O .04 .46 O 4H 5.33 5.99 O .09 .22 O .08 .46 O 5H 1.33 5.99 O .11 .22 O .08 .46 O 6H 4.00 5.99 O .11 .22 O .11 .46 O 8H 6.33 5.99 X .12 .22 O .09 .46 O 9H 5.00 5.99 O .11 .22 O .09 .46 O 12H 3.00 5.99 O .12 .22 O .09 .46 O 13H 3.33 5.99 O .10 .22 O .07 .46 O 14H 6.67 5.99 X .09 .22 O .05 .46 O 16H 3.67 5.99 O .10 .22 O .06 .46 O 18H 3.67 5.99 O .11 .22 O .08 .46 O 24H 4.67 5.99 O .12 .22 O .06 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 2H .99 .96 O 3H .99 .96 O 4H .98 .94 O 5H .97 .94 O 6H .97 .94 O 8H .97 .94 O 9H .98 .94 O 12H .97 .94 O 13H .97 .94 O 14H .98 .94 O 16H .98 .94 O 18H .98 .95 O 24H .99 .95 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF GUM DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 14.00 7.81 X .14 .22 O .24 .46 O 1H 3.67 7.81 O .14 .22 O .17 .46 O 2H 3.33 7.81 O .06 .22 O .03 .46 O 3H 2.00 7.81 O .08 .22 O .04 .46 O 4H 5.33 7.81 O .11 .22 O .12 .46 O 5H 7.67 7.81 O .13 .22 O .17 .46 O 6H 6.67 7.81 O .13 .22 O .18 .46 O 8H 7.00 7.81 O .13 .22 O .14 .46 O 9H 7.67 7.81 O .12 .22 O .14 .46 O 12H 5.33 7.81 O .14 .22 O .16 .46 O 13H 7.67 7.81 O .13 .22 O .15 .46 O 14H 5.33 7.81 O .11 .22 O .10 .46 O 16H 4.33 7.81 O .10 .22 O .09 .46 O 18H 5.33 7.81 O .11 .22 O .10 .46 O 24H 6.33 7.81 O .13 .22 O .07 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .97 .96 O 1H .96 .96 O 2H .99 .96 O 3H .99 .96 O 4H .97 .96 O 5H .96 .96 O 6H .96 .96 O 8H .97 .96 O 9H .97 .96 O 12H .96 .96 O 13H .96 .96 O 14H .97 .96 O 16H .97 .96 O 18H .98 .96 O 24H .98 .96 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF LGU2 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 3H 9.00 7.81 X .12 .22 O .09 .46 O 4H 3.33 7.81 O .10 .22 O .05 .46 O 5H 1.67 7.81 O .09 .22 O .05 .46 O 6H 4.33 7.81 O .11 .22 O .07 .46 O 8H 1.67 7.81 O .11 .22 O .05 .46 O 9H 6.33 7.81 O .10 .22 O .06 .46 O 12H 1.33 7.81 O .08 .22 O .04 .46 O 13H 3.33 7.81 O .08 .22 O .03 .46 O 14H 2.67 7.81 O .10 .22 O .06 .46 O 16H 2.33 7.81 O .11 .22 O .10 .46 O 18H 3.33 7.81 O .12 .22 O .11 .46 O 24H 5.67 7.81 O .13 .22 O .12 .46 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF LGU3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 3H 2.00 5.99 O .08 .22 O .04 .46 O 4H 5.33 5.99 O .09 .22 O .08 .46 O 5H 1.33 5.99 O .11 .22 O .08 .46 O 6H 4.00 5.99 O .11 .22 O .11 .46 O 8H 6.33 5.99 X .12 .22 O .09 .46 O 9H 5.00 5.99 O .11 .22 O .09 .46 O 12H 3.00 5.99 O .12 .22 O .09 .46 O 13H 3.33 5.99 O .10 .22 O .07 .46 O 14H 6.67 5.99 X .09 .22 O .05 .46 O 16H 3.67 5.99 O .10 .22 O .06 .46 O 18H 3.67 5.99 O .11 .22 O .08 .46 O 24H 4.67 5.99 O .12 .22 O .06 .46 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF LN2 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 10.00 7.81 X .13 .22 O .17 .46 O 1H 3.33 7.81 O .13 .22 O .14 .46 O 2H 3.33 7.81 O .06 .22 O .04 .46 O 3H 2.00 7.81 O .09 .22 O .04 .46 O 4H 6.00 7.81 O .12 .22 O .12 .46 O 5H 7.67 7.81 O .13 .22 O .17 .46 O 6H 6.67 7.81 O .13 .22 O .19 .46 O 8H 7.00 7.81 O .13 .22 O .15 .46 O 9H 7.67 7.81 O .12 .22 O .14 .46 O 12H 5.33 7.81 O .13 .22 O .16 .46 O 13H 7.67 7.81 O .13 .22 O .14 .46 O 14H 5.33 7.81 O .10 .22 O .10 .46 O 16H 5.67 7.81 O .10 .22 O .08 .46 O 18H 5.33 7.81 O .11 .22 O .10 .46 O 24H 6.33 7.81 O .12 .22 O .07 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .98 .97 O 1H .99 .97 O 2H .96 .97 X 3H .95 .97 X 4H .91 .97 X 5H .88 .97 X 6H .89 .97 X 8H .90 .97 X 9H .91 .97 X 12H .90 .97 X 13H .89 .97 X 14H .90 .97 X 16H .92 .97 X 18H .92 .97 X 24H .93 .97 X GOODNESS OF FIT TEST FOR RAINFALL DATA OF LN3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 4.67 5.99 O .13 .22 O .10 .46 O 1H 2.33 5.99 O .10 .22 O .04 .46 O 2H 3.33 5.99 O .06 .22 O .03 .46 O 3H 2.00 5.99 O .08 .22 O .04 .46 O 4H 3.67 5.99 O .09 .22 O .07 .46 O 5H 2.00 5.99 O .10 .22 O .07 .46 O 6H 4.00 5.99 O .10 .22 O .10 .46 O 8H 6.00 5.99 X .11 .22 O .08 .46 O 9H 5.33 5.99 O .10 .22 O .08 .46 O 12H 3.33 5.99 O .11 .22 O .09 .46 O 13H 2.33 5.99 O .10 .22 O .07 .46 O 14H 4.33 5.99 O .08 .22 O .04 .46 O 16H 3.67 5.99 O .09 .22 O .06 .46 O 18H 3.00 5.99 O .10 .22 O .07 .46 O 24H 4.33 5.99 O .12 .22 O .06 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .98 .97 O 1H .99 .97 O 2H .96 .97 X 3H .95 .97 X 4H .91 .97 X 5H .88 .97 X 6H .89 .97 X 8H .90 .97 X 9H .91 .97 X 12H .90 .97 X 13H .89 .97 X 14H .90 .97 X 16H .92 .97 X 18H .92 .97 X 24H .93 .97 X GOODNESS OF FIT TEST FOR RAINFALL DATA OF LP3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 1H .39 5.99 O .09 .22 O .03 .46 O 4H 3.17 5.99 O .10 .22 O .08 .46 O 5H 2.89 5.99 O .11 .22 O .08 .46 O 6H 6.78 5.99 X .11 .22 O .11 .46 O 8H 2.89 5.99 O .12 .22 O .09 .46 O 9H 4.28 5.99 O .11 .22 O .09 .46 O 12H 1.78 5.99 O .12 .22 O .10 .46 O 13H 1.50 5.99 O .10 .22 O .07 .46 O 14H 1.22 5.99 O .09 .22 O .05 .46 O 16H 1.50 5.99 O .10 .22 O .06 .46 O 18H 4.28 5.99 O .11 .22 O .08 .46 O 24H 5.94 5.99 O .12 .22 O .06 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK GOODNESS OF FIT TEST FOR RAINFALL DATA OF WBU2 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 3.00 7.81 O .13 .22 O .08 .46 O 1H 2.33 7.81 O .09 .22 O .03 .46 O 2H 3.67 7.81 O .12 .22 O .13 .46 O 3H 7.33 7.81 O .15 .22 O .17 .46 O 4H 8.33 7.81 X .18 .22 O .29 .46 O 5H 16.67 7.81 X .19 .22 O .35 .46 O 6H 14.67 7.81 X .19 .22 O .38 .46 O 8H 13.33 7.81 X .17 .22 O .33 .46 O 9H 11.00 7.81 X .17 .22 O .34 .46 O 12H 15.33 7.81 X .19 .22 O .36 .46 O 13H 13.00 7.81 X .19 .22 O .35 .46 O 14H 13.33 7.81 X .16 .22 O .27 .46 O 16H 17.00 7.81 X .15 .22 O .22 .46 O 18H 11.67 7.81 X .15 .22 O .23 .46 O 24H 5.67 7.81 O .16 .22 O .19 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .98 .96 O 1H .99 .96 O 2H .96 .96 O 3H .96 .96 X 4H .92 .96 X 5H .90 .96 X 6H .90 .96 X 8H .91 .96 X 9H .91 .96 X 12H .91 .96 X 13H .90 .96 X 14H .92 .96 X 16H .93 .96 X 18H .93 .96 X 24H .94 .96 X GOODNESS OF FIT TEST FOR RAINFALL DATA OF WBU3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 4.33 5.99 O .12 .22 O .09 .46 O 1H 1.33 5.99 O .09 .22 O .03 .46 O 3H .67 5.99 O .08 .22 O .04 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .99 .96 O 1H .99 .96 O 3H .99 .96 O (2) METHOD OF MAXIMUM LIKELIHOOD GOODNESS OF FIT TEST FOR RAINFALL DATA OF GAM2 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 9.28 7.81 X .12 .22 O .13 .46 O 1H 1.50 7.81 O .10 .22 O .08 .46 O 2H .39 7.81 O .08 .22 O .05 .46 O 3H 1.22 7.81 O .11 .22 O .08 .46 O 4H 4.83 7.81 O .14 .22 O .17 .46 O 5H 4.83 7.81 O .17 .22 O .22 .46 O 6H 10.94 7.81 X .16 .22 O .25 .46 O 8H 8.17 7.81 X .16 .22 O .20 .46 O 9H 6.22 7.81 O .16 .22 O .20 .46 O 12H 4.28 7.81 O .17 .22 O .21 .46 O 13H 2.06 7.81 O .14 .22 O .19 .46 O 14H 1.22 7.81 O .14 .22 O .14 .46 O 16H 2.06 7.81 O .13 .22 O .13 .46 O 18H 6.50 7.81 O .15 .22 O .15 .46 O 24H 7.33 7.81 O .16 .22 O .12 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .92 .98 X 1H .97 .98 X 2H .95 .97 X 3H .94 .97 X 4H .91 .97 X 5H .89 .97 X 6H .89 .97 X 8H .91 .97 X 9H .91 .97 X 12H .90 .97 X 13H .90 .97 X 14H .91 .97 X 16H .92 .97 X 18H .92 .97 X 24H .93 .97 X GOODNESS OF FIT TEST FOR RAINFALL DATA OF GAM3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 9.28 5.99 X .12 .22 O .13 .46 O 1H .67 5.99 O .10 .22 O .03 .46 O 2H 2.06 5.99 O .06 .22 O .04 .46 O 3H 3.17 5.99 O .07 .22 O .03 .46 O 4H 2.89 5.99 O .08 .22 O .07 .46 O 6H 6.78 5.99 X .10 .22 O .10 .46 O 8H 2.61 5.99 O .12 .22 O .09 .46 O 9H 1.50 5.99 O .09 .22 O .06 .46 O 12H 2.89 5.99 O .09 .22 O .06 .46 O 16H .39 5.99 O .08 .22 O .05 .46 O 18H 2.61 5.99 O .09 .22 O .06 .46 O 24H 3.44 5.99 O .09 .22 O .04 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .93 .98 X 1H .72 .98 X 2H .99 .97 O 3H 1.00 .97 O 4H .99 .97 O 6H .98 .97 O 8H .97 .97 O 9H .99 .97 O 12H .98 .97 O 16H .99 .97 O 18H .99 .97 O 24H .99 .97 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF GEV DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 4.67 5.99 O .13 .22 O .10 .46 O 1H 1.67 5.99 O .10 .22 O .03 .46 O 2H 3.33 5.99 O .06 .22 O .03 .46 O 3H 1.00 5.99 O .06 .22 O .03 .46 O 4H 4.00 5.99 O .07 .22 O .04 .46 O 5H 1.33 5.99 O .06 .22 O .02 .46 O 6H 2.00 5.99 O .09 .22 O .05 .46 O 8H 2.00 5.99 O .10 .22 O .04 .46 O 9H .67 5.99 O .07 .22 O .03 .46 O 12H 1.33 5.99 O .06 .22 O .02 .46 O 13H 2.67 5.99 O .06 .22 O .03 .46 O 14H 4.00 5.99 O .07 .22 O .04 .46 O 16H 5.33 5.99 O .08 .22 O .05 .46 O 18H 2.67 5.99 O .08 .22 O .05 .46 O 24H 4.00 5.99 O .10 .22 O .05 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 2H .99 .95 O 3H 1.00 .94 O 4H .99 .92 O 6H .99 .91 O 8H .99 .92 O 9H .99 .91 O 12H .99 .91 O 16H .99 .91 O 18H .99 .92 O 24H .99 .92 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF GUM DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 8.67 7.81 X .13 .22 O .17 .46 O 1H 4.67 7.81 O .10 .22 O .10 .46 O 2H 3.33 7.81 O .06 .22 O .03 .46 O 3H 2.00 7.81 O .07 .22 O .04 .46 O 4H 3.00 7.81 O .11 .22 O .08 .46 O 5H 3.67 7.81 O .14 .22 O .12 .46 O 6H 11.33 7.81 X .14 .22 O .14 .46 O 8H .67 7.81 O .14 .22 O .10 .46 O 9H 3.33 7.81 O .13 .22 O .11 .46 O 12H 2.67 7.81 O .12 .22 O .09 .46 O 13H 2.33 7.81 O .09 .22 O .07 .46 O 14H 2.67 7.81 O .11 .22 O .06 .46 O 16H 2.33 7.81 O .12 .22 O .09 .46 O 18H 3.33 7.81 O .13 .22 O .11 .46 O 24H 4.67 7.81 O .14 .22 O .09 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .97 .96 O 1H .96 .96 O 2H .99 .96 O 3H .99 .96 O 4H .97 .96 O 5H .96 .96 O 6H .96 .96 O 8H .97 .96 O 9H .97 .96 O 12H .96 .96 O 13H .96 .96 O 14H .97 .96 O 16H .97 .96 O 18H .98 .96 O 24H .98 .96 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF LGU2 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 13.33 7.81 X .15 .22 O .23 .46 O 1H 10.33 7.81 X .15 .22 O .23 .46 O 2H 3.00 7.81 O .10 .22 O .08 .46 O 3H 1.00 7.81 O .07 .22 O .04 .46 O 4H 2.67 7.81 O .07 .22 O .04 .46 O 5H 1.00 7.81 O .08 .22 O .03 .46 O 6H 2.00 7.81 O .10 .22 O .06 .46 O 8H 2.00 7.81 O .09 .22 O .04 .46 O 9H 1.67 7.81 O .08 .22 O .04 .46 O 12H .67 7.81 O .07 .22 O .03 .46 O 13H 2.67 7.81 O .05 .22 O .02 .46 O 14H 4.00 7.81 O .07 .22 O .03 .46 O 16H 5.33 7.81 O .08 .22 O .05 .46 O 18H 1.67 7.81 O .08 .22 O .05 .46 O 24H 4.00 7.81 O .09 .22 O .04 .46 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF LGU3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK GOODNESS OF FIT TEST FOR RAINFALL DATA OF LN2 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 8.67 7.81 X .12 .22 O .16 .46 O 1H 3.67 7.81 O .10 .22 O .11 .46 O 2H 3.33 7.81 O .06 .22 O .03 .46 O 3H 2.00 7.81 O .09 .22 O .05 .46 O 4H 4.33 7.81 O .12 .22 O .11 .46 O 5H 6.00 7.81 O .15 .22 O .16 .46 O 6H 10.33 7.81 X .14 .22 O .18 .46 O 8H 5.33 7.81 O .15 .22 O .14 .46 O 9H 3.67 7.81 O .14 .22 O .14 .46 O 12H 2.67 7.81 O .14 .22 O .14 .46 O 13H 3.33 7.81 O .11 .22 O .12 .46 O 14H 2.67 7.81 O .12 .22 O .08 .46 O 16H 3.67 7.81 O .12 .22 O .09 .46 O 18H 3.67 7.81 O .13 .22 O .11 .46 O 24H 4.67 7.81 O .14 .22 O .09 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .98 .97 O 1H .99 .97 O 2H .96 .97 X 3H .95 .97 X 4H .91 .97 X 5H .88 .97 X 6H .89 .97 X 8H .90 .97 X 9H .91 .97 X 12H .90 .97 X 13H .89 .97 X 14H .90 .97 X 16H .92 .97 X 18H .92 .97 X 24H .93 .97 X GOODNESS OF FIT TEST FOR RAINFALL DATA OF LN3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 4.67 5.99 O .13 .22 O .12 .46 O 2H 5.67 5.99 O .06 .22 O .04 .46 O 3H 2.00 5.99 O .06 .22 O .03 .46 O 4H 5.33 5.99 O .07 .22 O .05 .46 O 5H 1.33 5.99 O .06 .22 O .03 .46 O 6H 1.67 5.99 O .09 .22 O .07 .46 O 8H 2.33 5.99 O .11 .22 O .06 .46 O 9H 1.67 5.99 O .07 .22 O .03 .46 O 12H 1.33 5.99 O .07 .22 O .03 .46 O 13H 1.67 5.99 O .07 .22 O .04 .46 O 14H 2.33 5.99 O .07 .22 O .04 .46 O 16H 5.67 5.99 O .07 .22 O .05 .46 O 18H 3.00 5.99 O .08 .22 O .05 .46 O 24H 4.00 5.99 O .09 .22 O .04 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .98 .97 O 2H .96 .97 X 3H .95 .97 X 4H .91 .97 X 5H .88 .97 X 6H .89 .97 X 8H .90 .97 X 9H .91 .97 X 12H .90 .97 X 13H .89 .97 X 14H .90 .97 X 16H .92 .97 X 18H .92 .97 X 24H .93 .97 X GOODNESS OF FIT TEST FOR RAINFALL DATA OF LP3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK GOODNESS OF FIT TEST FOR RAINFALL DATA OF WBU2 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 3.00 7.81 O .13 .22 O .08 .46 O 1H 1.33 7.81 O .10 .22 O .03 .46 O 2H 6.67 7.81 O .12 .22 O .13 .46 O 3H 9.67 7.81 X .14 .22 O .17 .46 O 4H 15.67 7.81 X .17 .22 O .30 .46 O 5H 14.33 7.81 X .17 .22 O .36 .46 O 6H 16.33 7.81 X .18 .22 O .38 .46 O 8H 13.33 7.81 X .16 .22 O .34 .46 O 9H 14.00 7.81 X .16 .22 O .34 .46 O 12H 18.67 7.81 X .18 .22 O .37 .46 O 13H 13.00 7.81 X .19 .22 O .36 .46 O 14H 14.00 7.81 X .16 .22 O .28 .46 O 16H 15.67 7.81 X .14 .22 O .22 .46 O 18H 15.00 7.81 X .14 .22 O .23 .46 O 24H 10.67 7.81 X .14 .22 O .19 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .98 .96 O 1H .99 .96 O 2H .96 .96 O 3H .96 .96 O 4H .93 .96 X 5H .90 .96 X 6H .91 .96 X 8H .92 .96 X 9H .92 .96 X 12H .91 .96 X 13H .91 .96 X 14H .92 .96 X 16H .93 .96 X 18H .93 .96 X 24H .95 .96 X GOODNESS OF FIT TEST FOR RAINFALL DATA OF WBU3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK (3) METHOD OF PROBABILITY WEIGHTED MOMENTS GOODNESS OF FIT TEST FOR RAINFALL DATA OF GAM2 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 9.28 7.81 X .12 .22 O .12 .46 O 1H 1.50 7.81 O .10 .22 O .08 .46 O 2H .39 7.81 O .08 .22 O .05 .46 O 3H 1.78 7.81 O .11 .22 O .07 .46 O 4H 6.78 7.81 O .14 .22 O .17 .46 O 5H 4.83 7.81 O .17 .22 O .21 .46 O 6H 10.94 7.81 X .16 .22 O .24 .46 O 8H 10.67 7.81 X .16 .22 O .20 .46 O 9H 6.22 7.81 O .15 .22 O .20 .46 O 12H 4.28 7.81 O .16 .22 O .21 .46 O 13H 3.17 7.81 O .14 .22 O .19 .46 O 14H 1.22 7.81 O .13 .22 O .14 .46 O 16H 2.89 7.81 O .12 .22 O .12 .46 O 18H 7.06 7.81 O .13 .22 O .14 .46 O 24H 6.78 7.81 O .14 .22 O .11 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .93 .98 X 1H .97 .98 X 2H .96 .97 X 3H .95 .97 X 4H .92 .97 X 5H .89 .97 X 6H .90 .97 X 8H .92 .97 X 9H .91 .97 X 12H .91 .97 X 13H .90 .97 X 14H .91 .97 X 16H .93 .97 X 18H .93 .97 X 24H .94 .97 X GOODNESS OF FIT TEST FOR RAINFALL DATA OF GAM3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 7.06 5.99 X .12 .22 O .09 .46 O 1H .39 5.99 O .09 .22 O .03 .46 O 2H 3.72 5.99 O .07 .22 O .04 .46 O 3H 3.17 5.99 O .07 .22 O .04 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .53 .98 X 1H .56 .98 X 2H .99 .97 O 3H 1.00 .97 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF GEV DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 3.67 5.99 O .11 .22 O .09 .46 O 1H 2.67 5.99 O .09 .22 O .03 .46 O 2H 5.67 5.99 O .06 .22 O .04 .46 O 3H 2.00 5.99 O .06 .22 O .03 .46 O 4H 4.33 5.99 O .08 .22 O .05 .46 O 5H 1.33 5.99 O .07 .22 O .03 .46 O 6H 2.00 5.99 O .08 .22 O .05 .46 O 8H 3.33 5.99 O .08 .22 O .04 .46 O 9H 2.00 5.99 O .07 .22 O .03 .46 O 12H 2.67 5.99 O .06 .22 O .03 .46 O 13H 1.67 5.99 O .06 .22 O .03 .46 O 14H 1.33 5.99 O .05 .22 O .03 .46 O 16H 6.00 5.99 X .08 .22 O .05 .46 O 18H 3.00 5.99 O .08 .22 O .05 .46 O 24H 4.00 5.99 O .10 .22 O .04 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 2H .99 .95 O 3H 1.00 .94 O 4H .99 .92 O 5H .99 .91 O 6H .99 .91 O 8H .99 .92 O 9H .99 .91 O 12H .98 .91 O 13H .99 .91 O 14H .99 .92 O 16H .99 .93 O 18H .99 .93 O 24H .99 .93 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF GUM DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 14.00 7.81 X .14 .22 O .20 .46 O 1H 3.67 7.81 O .12 .22 O .14 .46 O 2H 3.33 7.81 O .06 .22 O .03 .46 O 3H 2.00 7.81 O .08 .22 O .04 .46 O 4H 3.67 7.81 O .11 .22 O .11 .46 O 5H 6.33 7.81 O .14 .22 O .15 .46 O 6H 9.00 7.81 X .14 .22 O .17 .46 O 8H 8.00 7.81 X .14 .22 O .13 .46 O 9H 5.33 7.81 O .13 .22 O .13 .46 O 12H 2.33 7.81 O .14 .22 O .14 .46 O 13H 4.67 7.81 O .12 .22 O .12 .46 O 14H 4.67 7.81 O .11 .22 O .08 .46 O 16H 3.67 7.81 O .11 .22 O .09 .46 O 18H 5.00 7.81 O .12 .22 O .10 .46 O 24H 4.67 7.81 O .13 .22 O .08 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .97 .96 O 1H .96 .96 O 2H .99 .96 O 3H .99 .96 O 4H .97 .96 O 5H .96 .96 O 6H .96 .96 O 8H .97 .96 O 9H .97 .96 O 12H .96 .96 O 13H .96 .96 O 14H .97 .96 O 16H .97 .96 O 18H .98 .96 O 24H .98 .96 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF LGU2 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 9.67 7.81 X .19 .22 O .41 .46 O 1H 7.67 7.81 O .17 .22 O .40 .46 O 2H 6.00 7.81 O .10 .22 O .11 .46 O 3H 2.33 7.81 O .07 .22 O .06 .46 O 4H 4.33 7.81 O .07 .22 O .05 .46 O 5H 1.67 7.81 O .08 .22 O .03 .46 O 6H 1.67 7.81 O .09 .22 O .06 .46 O 8H 2.67 7.81 O .08 .22 O .03 .46 O 9H 1.67 7.81 O .07 .22 O .03 .46 O 12H 1.33 7.81 O .07 .22 O .03 .46 O 13H 1.67 7.81 O .06 .22 O .03 .46 O 14H 2.33 7.81 O .06 .22 O .03 .46 O 16H 4.67 7.81 O .09 .22 O .06 .46 O 18H 3.00 7.81 O .08 .22 O .05 .46 O 24H 4.00 7.81 O .08 .22 O .05 .46 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF LGU3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK GOODNESS OF FIT TEST FOR RAINFALL DATA OF LN2 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 10.33 7.81 X .15 .22 O .13 .46 O 1H 1.67 7.81 O .15 .22 O .09 .46 O 2H 4.33 7.81 O .07 .22 O .04 .46 O 3H 2.67 7.81 O .05 .22 O .04 .46 O 4H 8.00 7.81 X .10 .22 O .09 .46 O 5H 3.67 7.81 O .09 .22 O .12 .46 O 6H 4.67 7.81 O .13 .22 O .14 .46 O 8H 7.67 7.81 O .12 .22 O .10 .46 O 9H 5.33 7.81 O .11 .22 O .10 .46 O 12H 3.00 7.81 O .08 .22 O .09 .46 O 13H 1.00 7.81 O .08 .22 O .08 .46 O 14H .67 7.81 O .08 .22 O .07 .46 O 16H 3.67 7.81 O .09 .22 O .08 .46 O 18H 3.67 7.81 O .08 .22 O .09 .46 O 24H 5.00 7.81 O .09 .22 O .07 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .98 .97 O 1H .99 .97 O 2H .96 .97 X 3H .95 .97 X 4H .91 .97 X 5H .88 .97 X 6H .89 .97 X 8H .90 .97 X 9H .91 .97 X 12H .90 .97 X 13H .89 .97 X 14H .90 .97 X 16H .92 .97 X 18H .92 .97 X 24H .93 .97 X GOODNESS OF FIT TEST FOR RAINFALL DATA OF LN3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 4.67 5.99 O .12 .22 O .09 .46 O 2H 5.67 5.99 O .06 .22 O .04 .46 O 3H 2.00 5.99 O .06 .22 O .03 .46 O 4H 6.67 5.99 X .08 .22 O .06 .46 O 5H 1.33 5.99 O .06 .22 O .03 .46 O 6H 1.67 5.99 O .09 .22 O .05 .46 O 9H 2.33 5.99 O .06 .22 O .03 .46 O 12H 3.33 5.99 O .06 .22 O .04 .46 O 13H 1.33 5.99 O .07 .22 O .04 .46 O 14H 1.33 5.99 O .06 .22 O .03 .46 O 16H 7.00 5.99 X .07 .22 O .05 .46 O 18H 3.67 5.99 O .07 .22 O .05 .46 O 24H 4.00 5.99 O .09 .22 O .04 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .98 .97 O 2H .96 .97 X 3H .95 .97 X 4H .91 .97 X 5H .88 .97 X 6H .89 .97 X 9H .91 .97 X 12H .90 .97 X 13H .89 .97 X 14H .90 .97 X 16H .92 .97 X 18H .92 .97 X 24H .93 .97 X GOODNESS OF FIT TEST FOR RAINFALL DATA OF LP3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 8.44 5.99 X .12 .22 O .10 .46 O 1H .39 5.99 O .09 .22 O .02 .46 O 2H .94 5.99 O .06 .22 O .04 .46 O 3H 3.44 5.99 O .06 .22 O .03 .46 O 4H 2.06 5.99 O .08 .22 O .05 .46 O 5H 1.50 5.99 O .06 .22 O .03 .46 O 9H .94 5.99 O .06 .22 O .03 .46 O 12H 1.50 5.99 O .06 .22 O .03 .46 O 13H 2.89 5.99 O .07 .22 O .04 .46 O 14H .67 5.99 O .06 .22 O .03 .46 O 16H .39 5.99 O .07 .22 O .05 .46 O 18H 3.17 5.99 O .08 .22 O .05 .46 O 24H 2.06 5.99 O .09 .22 O .04 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK GOODNESS OF FIT TEST FOR RAINFALL DATA OF WBU2 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 3.00 7.81 O .12 .22 O .08 .46 O 1H 2.33 7.81 O .09 .22 O .03 .46 O 2H 3.67 7.81 O .12 .22 O .12 .46 O 3H 7.33 7.81 O .15 .22 O .17 .46 O 4H 6.33 7.81 O .18 .22 O .30 .46 O 5H 15.67 7.81 X .20 .22 O .36 .46 O 6H 14.67 7.81 X .21 .22 O .39 .46 O 8H 12.67 7.81 X .19 .22 O .34 .46 O 9H 17.67 7.81 X .19 .22 O .35 .46 O 12H 12.00 7.81 X .21 .22 O .37 .46 O 13H 7.67 7.81 O .18 .22 O .35 .46 O 14H 6.00 7.81 O .17 .22 O .26 .46 O 16H 11.67 7.81 X .16 .22 O .22 .46 O 18H 12.33 7.81 X .16 .22 O .24 .46 O 24H 14.67 7.81 X .17 .22 O .20 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .98 .96 O 1H .99 .96 O 2H .96 .96 O 3H .95 .96 X 4H .91 .96 X 5H .88 .96 X 6H .89 .96 X 8H .90 .96 X 9H .91 .96 X 12H .90 .96 X 13H .89 .96 X 14H .91 .96 X 16H .92 .96 X 18H .92 .96 X 24H .94 .96 X GOODNESS OF FIT TEST FOR RAINFALL DATA OF WBU3 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK 10Mi 4.33 5.99 O .12 .22 O .08 .46 O 1H 2.67 5.99 O .09 .22 O .02 .46 O RAINFALL PPCC TEST DURATION COMPUTED TABLE CHECK 10Mi .99 .96 O 1H .99 .96 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF WKB4 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK NO CONVERGENCE : NEED MORE ITMAX 10Mi 3.67 3.84 O .11 .22 O .08 .46 O 1H 3.00 3.84 O .10 .22 O .04 .46 O 2H 7.33 3.84 X .11 .22 O .07 .46 O 3H 2.00 3.84 O .08 .22 O .05 .46 O 4H 6.33 3.84 X .10 .22 O .06 .46 O 5H 1.67 3.84 O .08 .22 O .04 .46 O 6H 1.67 3.84 O .08 .22 O .04 .46 O 8H 2.67 3.84 O .06 .22 O .02 .46 O 9H 2.67 3.84 O .06 .22 O .03 .46 O 12H 4.67 3.84 X .10 .22 O .05 .46 O 13H 4.33 3.84 X .12 .22 O .07 .46 O 14H 4.00 3.84 X .12 .22 O .07 .46 O 16H 5.67 3.84 X .10 .22 O .06 .46 O 18H 5.00 3.84 X .06 .22 O .05 .46 O 24H 2.67 3.84 O .07 .22 O .04 .46 O GOODNESS OF FIT TEST FOR RAINFALL DATA OF WKB5 DISTRIBUTION RAINFALL CHI-SQUARE KOLMOGOROV-SMIRNOV CRAMER VON MISES DURATION COMPUTED TABLE CHECK COMPUTED TABLE CHECK COMPUTED TABLE CHECK NO CONVERGENCE : NEED MORE ITMAX 10Mi 8.72 3.84 X .11 .22 O .08 .46 O 1H 2.11 3.84 O .06 .22 O .02 .46 O 2H 1.72 3.84 O .05 .22 O .02 .46 O 3H 3.28 3.84 O .06 .22 O .03 .46 O 4H 5.22 3.84 X .09 .22 O .06 .46 O 5H 1.72 3.84 O .08 .22 O .03 .46 O 6H 4.44 3.84 X .07 .22 O .04 .46 O 8H 1.72 3.84 O .06 .22 O .02 .46 O 9H .94 3.84 O .06 .22 O .03 .46 O 12H 2.89 3.84 O .10 .22 O .05 .46 O 13H 1.33 3.84 O .05 .22 O .02 .46 O 14H 2.11 3.84 O .06 .22 O .03 .46 O 16H 6.78 3.84 X .07 .22 O .05 .46 O 18H 7.94 3.84 X .06 .22 O .05 .46 O 24H 5.22 3.84 X .08 .22 O .03 .46 O ******************************************* * QUANTILE ESTIMATION * ******************************************* (1) METHOD OF MOMENTS DURATION = 10Mi RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 15.9 16.1 16.1 15.6 .0 .0 15.7 16.2 .0 16.4 16.2 3.0 17.7 17.9 18.0 17.3 .0 .0 17.5 18.0 .0 18.2 18.0 5.0 19.6 19.7 19.8 19.2 .0 .0 19.4 19.7 .0 19.8 19.8 10.0 21.7 21.6 21.7 21.6 .0 .0 21.7 21.6 .0 21.5 21.7 20.0 23.6 23.2 23.3 24.0 .0 .0 23.8 23.2 .0 22.8 23.2 30.0 24.6 24.1 24.1 25.3 .0 .0 24.9 24.0 .0 23.4 23.9 50.0 25.8 25.1 24.9 27.0 .0 .0 26.3 25.0 .0 24.2 24.8 70.0 26.6 25.7 25.4 28.1 .0 .0 27.2 25.6 .0 24.6 25.4 80.0 26.9 25.9 25.6 28.5 .0 .0 27.6 25.8 .0 24.8 25.6 100.0 27.4 26.3 25.9 29.2 .0 .0 28.2 26.2 .0 25.1 25.9 200.0 28.8 27.5 26.8 31.5 .0 .0 30.0 27.4 .0 25.9 26.9 300.0 29.7 28.1 27.2 32.8 .0 .0 31.1 28.0 .0 26.3 27.4 500.0 30.7 28.9 27.7 34.4 .0 .0 32.4 28.7 .0 26.8 28.1 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 10Mi RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 15.9 15.9 16.2 15.6 15.1 .0 15.7 16.1 .0 16.4 .0 3.0 17.7 17.7 18.0 17.5 17.3 .0 17.6 17.8 .0 18.2 .0 5.0 19.6 19.6 19.7 19.7 20.1 .0 19.6 19.6 .0 19.8 .0 10.0 21.7 21.7 21.5 22.4 24.2 .0 21.9 21.6 .0 21.5 .0 20.0 23.6 23.6 22.9 25.0 29.0 .0 24.1 23.3 .0 22.8 .0 30.0 24.6 24.7 23.6 26.5 32.2 .0 25.3 24.2 .0 23.5 .0 50.0 25.9 25.9 24.4 28.4 36.7 .0 26.8 25.3 .0 24.2 .0 70.0 26.6 26.7 24.8 29.6 40.0 .0 27.8 25.9 .0 24.7 .0 80.0 26.9 27.0 25.0 30.1 41.4 .0 28.2 26.2 .0 24.9 .0 100.0 27.4 27.5 25.3 30.9 43.8 .0 28.8 26.6 .0 25.1 .0 200.0 28.9 29.0 26.0 33.5 52.1 .0 30.7 27.9 .0 25.9 .0 300.0 29.7 29.8 26.4 35.0 57.7 .0 31.9 28.6 .0 26.4 .0 500.0 30.8 30.8 26.8 36.8 65.7 .0 33.3 29.5 .0 26.9 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 10Mi RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 15.9 16.2 16.1 15.5 15.0 .0 16.2 16.2 16.1 16.4 16.2 16.0 16.0 3.0 17.8 18.0 18.0 17.4 16.7 .0 18.1 18.0 18.0 18.2 18.1 18.3 18.3 5.0 19.7 19.8 19.9 19.4 18.8 .0 20.1 19.8 19.8 19.9 19.9 20.4 20.4 10.0 21.9 21.7 22.0 22.0 21.8 .0 22.6 21.7 21.9 21.6 21.7 22.1 22.1 20.0 23.8 23.3 23.7 24.5 25.1 .0 24.8 23.3 23.5 22.9 23.3 23.1 23.1 30.0 24.9 24.2 24.6 25.9 27.3 .0 26.1 24.2 24.4 23.6 24.1 23.4 23.5 50.0 26.1 25.2 25.6 27.7 30.2 .0 27.6 25.2 25.4 24.4 25.0 23.8 23.8 70.0 26.9 25.8 26.1 28.8 32.3 .0 28.6 25.8 26.0 24.8 25.5 23.9 23.9 80.0 27.2 26.0 26.4 29.3 33.2 .0 29.0 26.0 26.3 25.0 25.7 24.0 24.0 100.0 27.8 26.4 26.7 30.1 34.7 .0 29.7 26.4 26.7 25.3 26.1 24.0 24.1 200.0 29.3 27.6 27.7 32.5 39.8 .0 31.7 27.6 27.8 26.1 27.1 24.2 24.2 300.0 30.2 28.2 28.2 33.9 43.1 .0 32.8 28.2 28.4 26.6 27.6 24.3 24.3 500.0 31.2 29.0 28.8 35.6 47.7 .0 34.3 29.0 45.7 27.1 28.2 24.3 24.3 (1) METHOD OF MOMENTS DURATION = 1H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 41.0 .0 42.5 40.2 .0 .0 40.5 42.3 42.6 42.5 42.7 3.0 46.9 .0 48.4 45.8 .0 .0 46.1 48.0 48.7 48.4 48.5 5.0 53.0 .0 54.0 51.9 .0 .0 52.3 53.5 54.2 53.8 53.9 10.0 60.0 .0 59.7 59.7 .0 .0 59.8 59.5 59.6 59.6 59.4 20.0 66.3 .0 64.2 67.1 .0 .0 66.9 64.4 63.6 64.1 63.8 30.0 69.7 .0 66.3 71.4 .0 .0 70.8 67.0 65.5 66.5 66.0 50.0 73.8 .0 68.6 76.7 .0 .0 75.8 70.1 67.5 69.1 68.6 70.0 76.4 .0 70.0 80.2 .0 .0 79.0 72.0 68.7 70.8 70.1 80.0 77.4 .0 70.5 81.6 .0 .0 80.2 72.7 69.1 71.4 70.7 100.0 79.1 .0 71.3 84.0 .0 .0 82.3 73.9 69.7 72.4 71.7 200.0 84.2 .0 73.4 91.1 .0 .0 88.8 77.4 71.5 75.3 74.4 300.0 87.1 .0 74.4 95.3 .0 .0 92.6 79.3 72.4 76.9 75.9 500.0 90.6 .0 75.6 100.6 .0 .0 97.4 81.6 79.4 78.8 77.7 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 1H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 40.9 42.8 43.1 40.3 38.4 .0 40.2 .0 .0 42.6 .0 3.0 47.0 48.4 48.7 46.9 46.9 .0 46.5 .0 .0 48.3 .0 5.0 53.4 53.5 53.8 54.2 58.5 .0 53.5 .0 .0 53.6 .0 10.0 60.8 58.9 58.8 63.4 77.2 .0 62.2 .0 .0 59.1 .0 20.0 67.4 63.2 62.3 72.3 100.7 .0 70.5 .0 .0 63.4 .0 30.0 71.0 65.4 64.0 77.4 117.4 .0 75.2 .0 .0 65.6 .0 50.0 75.3 67.9 65.7 83.7 142.1 .0 81.0 .0 .0 68.2 .0 70.0 78.1 69.4 66.7 87.9 161.2 .0 84.9 .0 .0 69.7 .0 80.0 79.1 70.0 67.0 89.5 169.4 .0 86.4 .0 .0 70.3 .0 100.0 80.9 70.9 67.5 92.3 184.0 .0 88.9 .0 .0 71.3 .0 200.0 86.3 73.7 68.9 100.8 238.1 .0 96.8 .0 .0 74.0 .0 300.0 89.3 75.2 69.6 105.8 276.7 .0 101.5 .0 .0 75.5 .0 500.0 93.1 174.6 70.3 112.1 334.3 .0 107.3 .0 .0 77.3 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 1H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 40.9 42.6 42.3 40.1 38.2 .0 42.6 .0 42.5 42.4 42.7 42.2 43.2 3.0 47.0 48.5 48.5 46.0 43.4 .0 48.9 .0 48.7 48.5 48.7 49.5 49.6 5.0 53.4 54.0 54.4 52.7 50.1 .0 55.8 .0 54.5 54.1 54.1 55.7 54.6 10.0 60.8 59.7 60.6 61.0 60.1 .0 64.3 .0 60.4 60.0 59.8 60.8 59.4 20.0 67.4 64.4 65.5 69.0 71.4 .0 72.2 .0 64.8 64.8 64.3 63.6 63.3 30.0 71.0 66.9 67.9 73.6 78.9 .0 76.7 .0 66.9 67.2 66.6 64.6 65.4 50.0 75.4 69.6 70.5 79.3 89.4 .0 82.3 .0 69.2 70.0 69.2 65.5 67.8 70.0 78.2 71.4 72.1 83.1 97.0 .0 85.9 .0 70.5 71.6 70.7 65.9 69.2 80.0 79.2 72.0 72.6 84.6 100.2 .0 87.4 .0 71.0 72.3 71.3 66.0 69.8 100.0 81.0 73.1 73.5 87.1 105.8 .0 89.8 .0 71.8 73.3 72.3 66.2 70.7 200.0 86.4 76.2 76.0 94.8 125.1 .0 97.2 .0 73.9 76.4 75.1 66.6 73.3 300.0 89.4 77.9 77.3 99.3 137.9 .0 101.6 .0 75.0 78.0 76.6 66.8 74.7 500.0 93.2 294.7 78.7 105.0 156.0 .0 107.1 .0 85.1 80.0 78.4 66.9 76.3 (1) METHOD OF MOMENTS DURATION = 2H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 55.2 53.3 54.3 54.2 .0 .0 54.4 54.3 .0 57.2 .0 3.0 63.7 61.6 62.4 62.2 .0 .0 62.6 62.5 .0 65.8 .0 5.0 72.6 71.1 71.4 71.2 .0 .0 71.5 71.5 .0 73.9 .0 10.0 82.9 83.1 82.5 82.4 .0 .0 82.6 82.6 .0 82.4 .0 20.0 92.2 94.4 93.1 93.2 .0 .0 93.0 93.0 .0 89.3 .0 30.0 97.2 100.8 99.2 99.4 .0 .0 98.9 99.0 .0 92.8 .0 50.0 103.3 108.7 106.7 107.1 .0 .0 106.2 106.4 .0 96.8 .0 70.0 107.2 113.9 111.6 112.2 .0 .0 111.0 111.3 .0 99.3 .0 80.0 108.7 115.9 113.5 114.2 .0 .0 112.9 113.2 .0 100.2 .0 100.0 111.2 119.3 116.7 117.6 .0 .0 116.1 116.4 .0 101.8 .0 200.0 118.7 129.6 126.7 128.0 .0 .0 126.0 126.4 .0 106.2 .0 300.0 123.0 135.6 132.4 134.1 .0 .0 131.7 132.2 .0 108.6 .0 500.0 128.3 143.0 139.6 141.8 .0 .0 139.0 139.6 .0 111.5 .0 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 2H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 55.5 53.7 53.7 54.1 52.0 .0 54.5 53.7 .0 56.9 .0 3.0 63.4 62.1 61.6 61.9 60.7 .0 62.4 61.7 .0 66.0 .0 5.0 71.7 71.5 70.5 70.5 72.2 .0 71.0 70.8 .0 74.5 .0 10.0 81.4 83.0 82.0 81.3 89.7 .0 81.6 82.5 .0 83.6 .0 20.0 89.9 93.8 93.4 91.6 110.5 .0 91.5 94.0 .0 90.9 .0 30.0 94.6 99.9 100.2 97.6 124.6 .0 97.1 100.6 .0 94.7 .0 50.0 100.2 107.4 108.7 105.1 144.8 .0 104.0 109.1 .0 99.0 .0 70.0 103.8 112.2 114.5 110.0 159.7 .0 108.5 114.7 .0 101.7 .0 80.0 105.2 114.1 116.8 111.9 166.1 .0 110.3 116.9 .0 102.7 .0 100.0 107.5 117.3 120.6 115.1 177.2 .0 113.3 120.7 .0 104.3 .0 200.0 114.4 126.9 132.8 125.1 216.8 .0 122.5 132.5 .0 109.1 .0 300.0 118.3 132.5 140.1 131.0 243.8 .0 127.9 139.6 .0 111.7 .0 500.0 123.2 139.4 149.5 138.4 282.8 .0 134.8 148.7 .0 114.8 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 2H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 55.3 53.5 53.5 54.2 51.6 .0 53.6 53.6 53.8 57.3 .0 52.7 53.8 3.0 63.6 62.0 61.6 62.3 58.7 .0 61.6 61.7 61.9 65.6 .0 61.0 60.9 5.0 72.3 71.6 70.9 71.3 67.9 .0 70.3 71.0 71.2 73.3 .0 71.0 69.9 10.0 82.5 83.5 83.1 82.7 81.4 .0 81.0 82.9 83.1 81.4 .0 83.9 82.4 20.0 91.5 94.7 95.3 93.6 97.0 .0 91.2 94.6 94.9 87.9 .0 96.0 95.1 30.0 96.5 101.0 102.5 99.9 107.3 .0 96.9 101.3 101.8 91.2 .0 102.7 102.7 50.0 102.4 108.8 111.7 107.8 121.6 .0 104.0 109.9 110.6 95.0 .0 110.9 112.4 70.0 106.2 113.9 117.9 112.9 132.1 .0 108.7 115.7 116.5 97.4 .0 116.0 119.0 80.0 107.7 115.9 120.4 114.9 136.4 .0 110.5 117.9 118.8 98.2 .0 118.1 121.6 100.0 110.1 119.2 124.6 118.3 144.1 .0 113.6 121.8 122.8 99.7 .0 121.4 126.0 200.0 117.5 129.3 138.0 128.9 170.6 .0 123.2 133.8 135.5 103.8 .0 131.2 139.8 300.0 121.7 135.1 146.0 135.0 188.3 .0 128.7 141.0 143.1 106.1 .0 136.7 148.1 500.0 126.8 142.4 156.4 142.8 213.1 .0 135.8 150.2 153.0 108.8 .0 143.3 158.7 (1) METHOD OF MOMENTS DURATION = 3H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 62.1 59.5 60.9 60.9 59.2 60.9 61.1 60.9 .0 64.3 60.0 3.0 71.8 69.0 70.1 70.1 66.4 70.1 70.5 70.2 .0 74.2 70.0 5.0 82.0 80.0 80.4 80.4 75.4 80.4 80.8 80.5 .0 83.5 81.2 10.0 93.9 94.0 93.3 93.3 88.4 93.2 93.5 93.4 .0 93.3 94.7 20.0 104.5 107.3 105.6 105.6 103.1 105.6 105.4 105.6 .0 101.3 107.0 30.0 110.3 114.9 112.7 112.7 112.6 112.8 112.3 112.6 .0 105.4 113.8 50.0 117.3 124.3 121.6 121.6 125.7 121.7 120.8 121.4 .0 110.0 122.1 70.0 121.8 130.4 127.5 127.4 135.1 127.5 126.3 127.2 .0 112.9 127.3 80.0 123.6 132.8 129.8 129.7 139.0 129.9 128.5 129.5 .0 114.0 129.3 100.0 126.4 136.8 133.6 133.6 145.9 133.7 132.2 133.3 .0 115.8 132.7 200.0 135.1 149.2 145.6 145.5 169.1 145.8 143.6 145.2 .0 120.9 142.9 300.0 140.1 156.3 152.6 152.5 184.4 152.8 150.3 152.2 .0 123.7 148.6 500.0 146.2 165.3 161.4 161.3 205.7 161.6 158.7 161.2 .0 127.0 155.7 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 3H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 62.4 59.6 59.6 60.7 58.3 .0 61.3 59.5 .0 64.0 .0 3.0 71.4 69.3 68.3 69.2 67.5 .0 70.2 68.5 .0 74.4 .0 5.0 80.8 80.3 78.6 78.7 79.5 .0 79.9 79.3 .0 84.3 .0 10.0 91.7 94.3 92.8 90.6 97.7 .0 91.7 93.7 .0 94.7 .0 20.0 101.4 107.6 107.6 102.0 118.9 .0 102.8 108.3 .0 103.2 .0 30.0 106.7 115.1 116.8 108.5 133.2 .0 109.0 117.0 .0 107.5 .0 50.0 113.1 124.5 128.9 116.7 153.5 .0 116.8 128.4 .0 112.5 .0 70.0 117.1 130.6 137.2 122.1 168.4 .0 121.9 136.0 .0 115.6 .0 80.0 118.7 133.0 140.6 124.2 174.7 .0 123.9 139.1 .0 116.8 .0 100.0 121.3 137.0 146.4 127.8 185.8 .0 127.2 144.3 .0 118.7 .0 200.0 129.2 149.2 165.5 138.8 224.7 .0 137.6 161.0 .0 124.2 .0 300.0 133.6 156.3 177.4 145.2 251.1 .0 143.6 171.2 .0 127.2 .0 500.0 139.1 165.2 193.2 153.3 288.9 .0 151.3 184.4 .0 130.9 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 3H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 62.2 59.3 59.6 60.9 57.9 .0 59.5 59.5 59.6 64.5 .0 58.7 59.0 3.0 71.7 69.1 68.6 70.2 66.1 .0 68.4 68.7 68.8 73.9 .0 68.4 68.3 5.0 81.7 80.4 79.4 80.5 76.5 .0 78.1 79.6 79.7 82.8 .0 80.2 79.7 10.0 93.3 94.8 93.8 93.5 92.0 .0 90.0 93.9 94.3 92.1 .0 95.4 94.8 20.0 103.6 108.6 108.7 106.0 109.8 .0 101.3 108.2 109.4 99.5 .0 109.7 109.5 30.0 109.3 116.4 117.8 113.1 121.6 .0 107.6 116.8 118.5 103.4 .0 117.7 117.8 50.0 116.1 126.1 129.7 122.1 138.1 .0 115.5 127.8 130.5 107.7 .0 127.4 128.2 70.0 120.5 132.5 137.8 128.0 150.1 .0 120.7 135.2 138.7 110.4 .0 133.6 134.9 80.0 122.2 135.0 141.1 130.3 155.2 .0 122.8 138.2 142.0 111.4 .0 136.0 137.5 100.0 125.0 139.1 146.8 134.2 164.0 .0 126.2 143.2 147.6 113.1 .0 140.0 141.8 200.0 133.4 151.9 165.0 146.2 194.6 .0 136.8 159.2 166.0 117.9 .0 151.8 155.1 300.0 138.2 159.3 176.3 153.3 215.0 .0 143.0 168.9 177.4 120.5 .0 158.4 162.7 500.0 144.1 168.5 191.2 162.1 243.9 .0 150.8 181.5 192.4 123.6 .0 166.5 172.1 (1) METHOD OF MOMENTS DURATION = 4H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 70.6 .0 68.5 69.4 67.3 68.5 69.4 68.1 68.6 73.2 .0 3.0 82.3 .0 78.9 80.5 75.7 78.9 80.6 78.7 79.1 85.1 .0 5.0 94.6 .0 91.0 92.8 86.4 91.0 93.0 91.1 91.1 96.5 .0 10.0 109.0 .0 107.0 108.3 102.1 107.0 108.4 107.5 106.9 108.5 .0 20.0 121.9 .0 123.1 123.1 119.7 123.1 123.0 123.8 122.6 118.3 .0 30.0 129.0 .0 132.8 131.6 131.2 132.8 131.4 133.5 131.9 123.4 .0 50.0 137.6 .0 145.3 142.3 147.1 145.3 141.8 145.9 143.9 129.2 .0 70.0 143.1 .0 153.8 149.3 158.5 153.8 148.7 154.3 152.0 132.7 .0 80.0 145.2 .0 157.2 152.1 163.3 157.2 151.4 157.6 155.2 134.1 .0 100.0 148.7 .0 163.0 156.7 171.6 163.0 155.9 163.3 160.7 136.3 .0 200.0 159.4 .0 181.5 171.0 200.2 181.5 170.1 181.3 178.3 142.7 .0 300.0 165.4 .0 192.7 179.4 219.0 192.8 178.4 192.1 189.0 146.2 .0 500.0 172.9 .0 207.3 190.0 245.3 207.5 188.9 206.2 202.9 150.4 .0 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 4H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 71.3 67.4 66.8 69.2 66.6 .0 70.1 66.9 .0 72.7 .0 3.0 81.7 78.3 76.3 78.3 76.1 .0 80.0 76.9 .0 85.4 .0 5.0 92.4 91.2 88.1 88.5 88.4 .0 90.8 89.3 .0 97.6 .0 10.0 105.0 107.8 105.4 101.3 106.6 .0 104.1 106.6 .0 110.6 .0 20.0 116.1 123.9 124.9 113.6 127.6 .0 116.4 124.9 .0 121.3 .0 30.0 122.2 133.1 137.5 120.7 141.5 .0 123.4 136.1 .0 126.8 .0 50.0 129.6 144.6 155.0 129.5 161.0 .0 132.1 151.0 .0 133.2 .0 70.0 134.2 152.0 167.6 135.3 175.3 .0 137.7 161.3 .0 137.1 .0 80.0 136.0 155.0 172.9 137.6 181.2 .0 140.0 165.4 .0 138.6 .0 100.0 139.0 159.9 182.0 141.4 191.7 .0 143.7 172.5 .0 141.0 .0 200.0 148.1 175.1 213.2 153.3 228.1 .0 155.2 195.6 .0 148.1 .0 300.0 153.2 183.9 233.7 160.2 252.5 .0 161.9 209.9 .0 152.0 .0 500.0 159.5 195.0 262.3 168.9 286.9 .0 170.4 228.9 .0 156.6 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 4H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 71.1 .0 66.5 69.6 66.2 .0 66.2 66.2 66.5 73.7 .0 65.6 65.6 3.0 81.9 .0 76.2 80.2 75.5 .0 75.4 76.2 76.5 84.4 .0 75.3 75.3 5.0 93.2 .0 88.4 91.9 87.4 .0 85.3 88.8 89.1 94.5 .0 88.3 88.2 10.0 106.3 .0 106.0 106.6 105.0 .0 97.4 106.8 107.3 105.0 .0 107.0 107.0 20.0 118.1 .0 125.7 120.8 125.1 .0 108.7 126.4 127.3 113.4 .0 127.3 127.3 30.0 124.5 .0 138.5 128.9 138.5 .0 115.1 138.6 140.0 117.7 .0 140.0 140.0 50.0 132.2 .0 156.1 139.1 157.2 .0 122.9 154.9 157.3 122.7 .0 156.7 156.8 70.0 137.2 .0 168.7 145.7 170.7 .0 128.1 166.2 169.6 125.7 .0 168.3 168.4 80.0 139.1 .0 174.0 148.4 176.5 .0 130.1 170.9 174.6 126.9 .0 173.0 173.1 100.0 142.2 .0 183.1 152.8 186.4 .0 133.5 178.8 183.4 128.7 .0 181.0 181.2 200.0 151.8 .0 214.3 166.5 220.9 .0 143.9 204.9 212.8 134.1 .0 207.3 207.7 300.0 157.3 .0 234.8 174.4 244.0 .0 150.0 221.2 231.6 137.1 .0 223.7 224.2 500.0 163.9 .0 263.2 184.5 276.5 .0 157.6 242.9 257.5 140.6 .0 245.3 246.1 (1) METHOD OF MOMENTS DURATION = 5H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 76.4 .0 73.6 75.2 72.7 73.6 75.0 72.8 73.5 79.2 .0 3.0 89.7 .0 84.9 87.8 82.2 84.9 87.7 84.3 84.9 92.9 .0 5.0 103.8 .0 98.4 101.8 94.3 98.4 101.9 98.2 98.5 106.0 .0 10.0 120.4 .0 116.7 119.5 112.0 116.7 119.6 117.3 116.7 120.0 .0 20.0 135.3 .0 135.9 136.4 132.1 135.9 136.5 137.2 135.6 131.5 .0 30.0 143.6 .0 147.7 146.2 145.3 147.7 146.3 149.2 147.1 137.4 .0 50.0 153.5 .0 163.3 158.4 163.6 163.3 158.4 165.0 162.2 144.3 .0 70.0 159.9 .0 174.1 166.3 176.8 174.1 166.5 175.8 172.5 148.4 .0 80.0 162.3 .0 178.5 169.5 182.4 178.5 169.7 180.2 176.7 150.0 .0 100.0 166.4 .0 186.0 174.8 192.0 186.0 175.0 187.6 183.9 152.7 .0 200.0 178.8 .0 210.5 191.2 225.3 210.5 191.6 211.6 207.2 160.3 .0 300.0 185.9 .0 225.8 200.7 247.3 225.8 201.4 226.3 221.6 164.4 .0 500.0 194.6 .0 246.1 212.7 278.1 246.1 213.9 245.6 240.8 169.4 .0 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 5H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 77.4 .0 71.0 74.9 72.0 .0 76.0 71.0 .0 78.4 .0 3.0 88.8 .0 80.6 84.4 81.4 .0 86.8 81.5 .0 93.1 .0 5.0 100.7 .0 93.7 95.0 93.3 .0 98.5 95.4 .0 107.3 .0 10.0 114.5 .0 114.6 108.3 110.7 .0 112.8 116.1 .0 122.6 .0 20.0 126.8 .0 140.4 121.1 130.4 .0 126.1 139.6 .0 135.2 .0 30.0 133.6 .0 158.5 128.5 143.3 .0 133.7 154.7 .0 141.8 .0 50.0 141.7 .0 185.1 137.7 161.3 .0 143.0 175.3 .0 149.3 .0 70.0 146.8 .0 205.3 143.7 174.2 .0 149.1 189.9 .0 154.0 .0 80.0 148.8 .0 214.0 146.1 179.6 .0 151.5 195.9 .0 155.8 .0 100.0 152.2 .0 229.5 150.1 189.1 .0 155.5 206.3 .0 158.7 .0 200.0 162.2 .0 285.9 162.5 221.6 .0 167.9 241.1 .0 167.2 .0 300.0 167.8 .0 325.7 169.7 243.1 .0 175.2 263.4 .0 171.8 .0 500.0 174.8 .0 384.6 178.8 273.1 .0 184.3 293.5 .0 177.4 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 5H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 77.2 .0 71.2 75.6 71.9 .0 70.6 70.6 70.8 80.0 .0 70.2 70.2 3.0 89.0 .0 81.2 87.1 82.0 .0 79.8 81.0 81.3 91.8 .0 80.6 80.6 5.0 101.4 .0 94.3 100.0 95.0 .0 89.8 94.8 95.4 102.8 .0 94.8 94.8 10.0 115.8 .0 114.2 116.1 114.3 .0 101.9 115.8 116.7 114.3 .0 116.2 116.1 20.0 128.7 .0 137.6 131.6 136.4 .0 113.0 139.6 141.4 123.6 .0 140.2 140.1 30.0 135.7 .0 153.4 140.5 151.0 .0 119.3 155.0 157.7 128.4 .0 155.5 155.5 50.0 144.2 .0 176.0 151.6 171.6 .0 127.1 176.1 180.5 133.8 .0 176.5 176.5 70.0 149.6 .0 192.6 158.9 186.5 .0 132.1 191.1 197.0 137.1 .0 191.3 191.3 80.0 151.7 .0 199.7 161.8 192.8 .0 134.1 197.3 204.0 138.4 .0 197.4 197.4 100.0 155.2 .0 212.0 166.6 203.7 .0 137.4 208.0 216.0 140.4 .0 207.9 208.0 200.0 165.7 .0 255.7 181.6 241.8 .0 147.5 244.0 257.9 146.4 .0 243.2 243.4 300.0 171.7 .0 285.5 190.3 267.2 .0 153.4 267.1 285.6 149.7 .0 265.9 266.1 500.0 179.0 .0 328.2 201.3 303.1 .0 160.8 298.4 324.6 153.5 .0 296.7 297.0 (1) METHOD OF MOMENTS DURATION = 6H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 81.6 .0 78.8 80.2 77.8 78.8 80.3 78.1 78.8 84.6 .0 3.0 95.0 .0 90.4 92.9 87.5 90.4 93.1 89.9 90.5 98.3 .0 5.0 109.1 .0 104.1 107.0 99.8 104.1 107.3 104.1 104.2 111.3 .0 10.0 125.7 .0 122.5 124.8 117.7 122.5 125.0 123.1 122.5 125.1 .0 20.0 140.5 .0 141.5 141.8 138.0 141.5 141.7 142.6 141.1 136.3 .0 30.0 148.6 .0 153.2 151.6 151.1 153.2 151.3 154.4 152.4 142.0 .0 50.0 158.4 .0 168.4 163.9 169.4 168.4 163.2 169.7 167.1 148.7 .0 70.0 164.7 .0 178.9 171.9 182.5 178.9 171.1 180.1 177.1 152.7 .0 80.0 167.1 .0 183.1 175.1 188.0 183.1 174.2 184.3 181.1 154.3 .0 100.0 171.2 .0 190.3 180.4 197.5 190.3 179.4 191.4 188.0 156.8 .0 200.0 183.4 .0 213.7 196.9 230.2 213.8 195.5 214.2 210.2 164.1 .0 300.0 190.3 .0 228.2 206.5 251.7 228.3 205.0 228.2 224.0 168.1 .0 500.0 198.8 .0 247.3 218.6 281.8 247.4 217.1 246.4 241.9 172.9 .0 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 6H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 82.5 78.6 76.9 79.9 77.2 .0 81.1 77.5 .0 83.8 .0 3.0 94.2 90.5 87.1 89.8 87.2 .0 92.2 88.3 .0 98.6 .0 5.0 106.3 104.3 100.1 100.8 99.9 .0 104.2 101.8 .0 112.8 .0 10.0 120.3 122.0 119.5 114.6 118.5 .0 118.8 120.6 .0 128.0 .0 20.0 132.7 139.1 141.9 127.8 139.6 .0 132.3 140.5 .0 140.5 .0 30.0 139.5 148.8 156.8 135.5 153.4 .0 139.9 152.8 .0 146.9 .0 50.0 147.7 160.9 177.8 145.0 172.6 .0 149.4 169.1 .0 154.4 .0 70.0 152.9 168.8 193.1 151.3 186.4 .0 155.5 180.3 .0 158.9 .0 80.0 154.9 171.9 199.5 153.7 192.2 .0 158.0 184.8 .0 160.7 .0 100.0 158.3 177.1 210.8 157.9 202.3 .0 162.0 192.6 .0 163.5 .0 200.0 168.3 193.1 250.0 170.7 237.0 .0 174.5 218.0 .0 171.8 .0 300.0 174.1 202.3 276.4 178.2 259.9 .0 181.7 233.7 .0 176.3 .0 500.0 181.1 213.9 313.6 187.6 292.0 .0 190.9 254.5 .0 181.8 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 6H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 82.3 .0 76.2 80.6 76.9 .0 75.6 75.6 .0 85.3 .0 75.1 75.2 3.0 94.4 .0 86.5 92.3 87.3 .0 85.0 86.2 .0 97.2 .0 85.8 85.8 5.0 106.9 .0 99.8 105.4 100.6 .0 95.2 100.3 .0 108.3 .0 100.3 100.3 10.0 121.4 .0 120.1 121.8 120.1 .0 107.4 121.5 .0 119.8 .0 122.0 121.9 20.0 134.4 .0 143.8 137.6 142.4 .0 118.6 145.6 .0 129.1 .0 146.2 146.2 30.0 141.5 .0 159.7 146.6 157.0 .0 124.9 161.1 .0 133.8 .0 161.7 161.7 50.0 150.0 .0 182.4 158.0 177.5 .0 132.7 182.3 .0 139.2 .0 182.7 182.7 70.0 155.4 .0 199.1 165.4 192.3 .0 137.7 197.3 .0 142.5 .0 197.4 197.6 80.0 157.5 .0 206.2 168.3 198.5 .0 139.6 203.6 .0 143.8 .0 203.5 203.7 100.0 161.0 .0 218.5 173.3 209.3 .0 142.9 214.3 .0 145.8 .0 214.0 214.3 200.0 171.5 .0 262.1 188.5 246.7 .0 153.0 250.2 .0 151.7 .0 249.0 249.6 300.0 177.5 .0 291.7 197.4 271.6 .0 158.9 273.3 .0 154.9 .0 271.3 272.2 500.0 184.8 .0 334.0 208.6 306.5 .0 166.2 304.5 .0 158.7 .0 301.6 302.9 (1) METHOD OF MOMENTS DURATION = 8H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 90.3 .0 87.5 88.8 86.0 87.5 88.8 86.8 87.5 93.6 .0 3.0 105.5 .0 100.8 103.2 97.0 100.8 103.3 100.5 101.0 109.1 .0 5.0 121.5 .0 116.5 119.1 110.8 116.4 119.4 116.6 116.6 124.0 .0 10.0 140.3 .0 137.2 139.2 131.1 137.2 139.4 137.9 137.1 139.7 .0 20.0 157.1 .0 158.4 158.5 153.9 158.4 158.5 159.5 157.8 152.5 .0 30.0 166.3 .0 171.2 169.6 168.9 171.2 169.4 172.3 170.2 159.1 .0 50.0 177.5 .0 187.9 183.5 189.6 187.9 183.1 188.9 186.1 166.7 .0 70.0 184.7 .0 199.2 192.6 204.5 199.2 192.0 200.1 196.9 171.3 .0 80.0 187.4 .0 203.7 196.2 210.8 203.8 195.6 204.6 201.3 173.1 .0 100.0 192.0 .0 211.5 202.2 221.6 211.5 201.5 212.2 208.7 176.0 .0 200.0 206.0 .0 236.4 220.8 258.9 236.5 220.0 236.5 232.3 184.4 .0 300.0 213.9 .0 251.7 231.7 283.5 251.8 230.9 251.2 246.8 189.0 .0 500.0 223.6 .0 271.7 245.4 317.9 271.8 244.8 270.3 265.7 194.5 .0 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 8H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 91.2 87.9 85.7 88.4 85.3 .0 89.6 86.5 .0 92.9 .0 3.0 104.6 101.5 97.7 100.0 97.5 .0 102.4 99.2 .0 109.4 .0 5.0 118.5 116.9 112.6 113.0 113.2 .0 116.3 114.4 .0 125.4 .0 10.0 134.7 136.2 134.1 129.2 136.5 .0 133.2 135.0 .0 142.4 .0 20.0 149.0 154.5 158.0 144.8 163.4 .0 149.1 156.2 .0 156.4 .0 30.0 156.9 164.9 173.5 153.7 181.2 .0 158.1 169.0 .0 163.7 .0 50.0 166.3 177.7 194.6 164.9 206.2 .0 169.2 185.7 .0 172.0 .0 70.0 172.4 186.0 209.8 172.3 224.5 .0 176.4 197.0 .0 177.1 .0 80.0 174.7 189.3 216.1 175.2 232.1 .0 179.3 201.5 .0 179.1 .0 100.0 178.6 194.7 227.0 180.0 245.5 .0 184.0 209.3 .0 182.3 .0 200.0 190.2 211.4 264.0 195.1 292.1 .0 198.8 234.2 .0 191.6 .0 300.0 196.9 221.0 288.2 203.9 323.3 .0 207.4 249.5 .0 196.7 .0 500.0 205.0 233.0 321.6 214.9 367.3 .0 218.3 269.4 .0 202.8 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 8H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 91.0 .0 84.7 89.1 84.8 .0 84.1 .0 .0 94.4 .0 83.4 83.4 3.0 104.9 .0 96.8 102.6 96.7 .0 95.4 .0 .0 108.1 .0 96.3 96.3 5.0 119.4 .0 112.3 117.7 111.9 .0 107.7 .0 .0 121.0 .0 113.3 113.3 10.0 136.3 .0 135.2 136.6 134.5 .0 122.7 .0 .0 134.5 .0 137.9 137.8 20.0 151.3 .0 161.5 154.8 160.4 .0 136.6 .0 .0 145.4 .0 164.3 164.2 30.0 159.6 .0 178.8 165.2 177.5 .0 144.4 .0 .0 150.9 .0 180.6 180.6 50.0 169.5 .0 203.1 178.3 201.5 .0 154.1 .0 .0 157.3 .0 202.2 202.2 70.0 175.8 .0 220.7 186.8 219.0 .0 160.3 .0 .0 161.1 .0 217.0 217.2 80.0 178.3 .0 228.1 190.2 226.3 .0 162.8 .0 .0 162.6 .0 223.0 223.2 100.0 182.4 .0 241.0 195.9 239.1 .0 166.9 .0 .0 165.0 .0 233.2 233.6 200.0 194.7 .0 285.7 213.4 283.5 .0 179.7 .0 .0 172.0 .0 266.6 267.2 300.0 201.6 .0 315.6 223.6 313.1 .0 187.1 .0 .0 175.8 .0 287.2 288.1 500.0 210.2 .0 357.5 236.5 354.9 .0 196.4 .0 .0 180.3 .0 314.5 315.7 (1) METHOD OF MOMENTS DURATION = 9H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 95.2 .0 92.3 93.6 90.7 92.3 93.6 91.7 92.4 98.7 .0 3.0 111.1 .0 106.4 108.6 102.1 106.4 108.8 106.1 106.6 114.9 .0 5.0 127.7 .0 122.8 125.3 116.6 122.7 125.6 122.9 122.9 130.3 .0 10.0 147.3 .0 144.4 146.3 137.8 144.4 146.5 145.1 144.3 146.7 .0 20.0 164.9 .0 166.4 166.4 161.7 166.4 166.3 167.4 165.7 160.0 .0 30.0 174.5 .0 179.6 178.0 177.3 179.6 177.7 180.6 178.4 166.9 .0 50.0 186.2 .0 196.7 192.5 198.9 196.8 191.9 197.6 194.8 174.8 .0 70.0 193.6 .0 208.3 202.0 214.5 208.4 201.2 209.1 205.9 179.6 .0 80.0 196.5 .0 213.0 205.7 221.0 213.0 204.9 213.7 210.4 181.5 .0 100.0 201.3 .0 220.9 212.0 232.3 221.0 211.1 221.4 217.9 184.5 .0 200.0 215.8 .0 246.3 231.5 271.1 246.4 230.4 246.2 242.0 193.2 .0 300.0 224.0 .0 261.8 242.8 296.8 261.9 241.7 261.1 256.8 198.0 .0 500.0 234.2 .0 282.0 257.1 332.5 282.2 256.0 280.5 276.0 203.7 .0 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 9H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 96.1 90.9 89.0 93.1 89.7 .0 94.5 89.6 .0 98.0 .0 3.0 110.1 105.3 101.2 105.0 101.7 .0 107.8 102.7 .0 115.2 .0 5.0 124.6 122.3 117.3 118.3 116.9 .0 122.3 119.3 .0 131.8 .0 10.0 141.5 144.5 141.9 135.1 139.4 .0 139.9 143.0 .0 149.5 .0 20.0 156.5 165.9 171.1 151.1 165.0 .0 156.4 168.6 .0 164.0 .0 30.0 164.7 178.2 190.9 160.3 181.9 .0 165.7 184.7 .0 171.5 .0 50.0 174.6 193.6 219.2 171.8 205.3 .0 177.3 206.1 .0 180.2 .0 70.0 180.8 203.6 240.2 179.4 222.3 .0 184.8 221.0 .0 185.5 .0 80.0 183.3 207.5 249.2 182.4 229.4 .0 187.7 227.1 .0 187.5 .0 100.0 187.3 214.1 264.9 187.4 241.8 .0 192.7 237.5 .0 190.8 .0 200.0 199.5 234.5 320.6 202.9 284.6 .0 208.0 271.7 .0 200.5 .0 300.0 206.4 246.3 358.8 212.0 313.1 .0 216.9 293.2 .0 205.8 .0 500.0 214.9 261.2 413.8 223.4 352.9 .0 228.2 321.8 .0 212.1 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 9H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 95.9 .0 89.0 93.9 89.3 .0 88.4 88.4 88.5 99.4 .0 87.7 87.7 3.0 110.4 .0 101.7 108.1 101.8 .0 100.2 101.5 101.7 113.8 .0 101.3 101.3 5.0 125.6 .0 117.9 123.9 117.8 .0 113.0 118.6 119.1 127.4 .0 119.3 119.2 10.0 143.4 .0 142.1 143.8 141.5 .0 128.4 143.7 145.1 141.5 .0 145.2 145.1 20.0 159.2 .0 170.0 162.8 168.7 .0 142.8 171.7 174.7 152.9 .0 173.1 173.1 30.0 167.8 .0 188.5 173.8 186.7 .0 150.9 189.6 194.1 158.7 .0 190.4 190.4 50.0 178.3 .0 214.5 187.5 211.8 .0 160.9 213.8 221.0 165.4 .0 213.2 213.3 70.0 184.9 .0 233.4 196.5 230.1 .0 167.3 230.8 240.4 169.5 .0 228.9 229.1 80.0 187.5 .0 241.4 200.0 237.8 .0 169.9 237.8 248.5 171.0 .0 235.3 235.5 100.0 191.7 .0 255.3 206.0 251.2 .0 174.2 249.9 262.6 173.5 .0 246.2 246.5 200.0 204.6 .0 303.8 224.4 297.7 .0 187.3 290.0 310.9 180.8 .0 281.6 282.2 300.0 211.9 .0 336.3 235.1 328.8 .0 194.9 315.4 342.7 184.8 .0 303.5 304.3 500.0 221.0 .0 382.3 248.7 372.5 .0 204.5 349.7 387.1 189.5 .0 332.5 333.6 (1) METHOD OF MOMENTS DURATION = 12H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 104.0 .0 100.7 102.3 98.9 100.7 102.1 100.0 100.8 107.7 .0 3.0 122.2 .0 116.7 119.5 111.9 116.7 119.4 116.3 116.9 126.4 .0 5.0 141.4 .0 135.5 138.7 128.4 135.4 138.7 135.6 135.6 144.4 .0 10.0 164.0 .0 160.4 162.8 152.5 160.3 162.9 161.2 160.3 163.5 .0 20.0 184.4 .0 185.8 185.9 179.9 185.8 186.0 187.0 185.0 179.2 .0 30.0 195.6 .0 201.1 199.2 197.9 201.1 199.3 202.4 199.9 187.2 .0 50.0 209.2 .0 221.1 215.8 222.9 221.1 215.9 222.3 219.0 196.6 .0 70.0 217.8 .0 234.6 226.6 241.0 234.6 226.9 235.7 232.0 202.3 .0 80.0 221.2 .0 240.1 231.0 248.5 240.1 231.2 241.1 237.2 204.5 .0 100.0 226.8 .0 249.4 238.2 261.7 249.4 238.5 250.2 246.0 208.0 .0 200.0 243.7 .0 279.3 260.5 307.0 279.4 261.2 279.3 274.4 218.4 .0 300.0 253.4 .0 297.6 273.5 337.0 297.7 274.6 297.0 291.7 224.1 .0 500.0 265.3 .0 321.5 289.9 379.1 321.7 291.6 319.8 314.5 230.9 .0 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 12H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 105.2 98.4 97.1 101.8 97.8 .0 103.3 97.4 .0 107.1 .0 3.0 121.0 115.0 110.8 115.2 111.3 .0 118.3 112.2 .0 126.8 .0 5.0 137.6 135.0 128.9 130.1 128.5 .0 134.7 131.1 .0 145.9 .0 10.0 156.8 161.2 156.7 148.9 153.9 .0 154.7 158.6 .0 166.3 .0 20.0 174.0 187.0 190.0 166.9 183.0 .0 173.5 188.6 .0 183.2 .0 30.0 183.4 201.8 212.6 177.3 202.2 .0 184.2 207.6 .0 191.9 .0 50.0 194.7 220.4 245.1 190.2 229.0 .0 197.4 233.1 .0 202.0 .0 70.0 201.9 232.6 269.3 198.7 248.5 .0 206.1 250.9 .0 208.2 .0 80.0 204.7 237.4 279.6 202.1 256.7 .0 209.5 258.2 .0 210.6 .0 100.0 209.3 245.4 297.8 207.7 270.9 .0 215.2 270.7 .0 214.4 .0 200.0 223.3 270.3 362.3 225.1 320.3 .0 232.8 312.1 .0 225.7 .0 300.0 231.2 284.8 406.8 235.2 353.1 .0 243.1 338.1 .0 231.9 .0 500.0 241.0 302.9 470.9 248.0 399.4 .0 256.1 373.0 .0 239.3 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 12H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 104.9 .0 97.1 102.8 97.5 .0 96.3 96.3 96.7 108.8 .0 95.7 95.7 3.0 121.4 .0 111.3 118.8 111.5 .0 109.6 111.0 111.5 125.2 .0 110.1 110.1 5.0 138.6 .0 129.5 136.7 129.6 .0 123.9 130.3 130.9 140.6 .0 129.8 129.8 10.0 158.7 .0 156.9 159.1 156.4 .0 141.3 158.9 160.0 156.7 .0 159.1 159.1 20.0 176.7 .0 188.8 180.6 187.4 .0 157.5 191.0 193.1 169.8 .0 191.9 191.9 30.0 186.6 .0 210.0 193.0 207.9 .0 166.7 211.6 214.8 176.4 .0 212.8 212.8 50.0 198.5 .0 239.9 208.5 236.7 .0 178.0 239.5 244.9 184.1 .0 241.2 241.2 70.0 206.1 .0 261.9 218.6 257.8 .0 185.3 259.2 266.7 188.8 .0 261.2 261.2 80.0 209.0 .0 271.1 222.6 266.6 .0 188.2 267.4 275.7 190.6 .0 269.4 269.4 100.0 213.9 .0 287.3 229.4 282.1 .0 193.1 281.4 291.4 193.5 .0 283.6 283.6 200.0 228.6 .0 344.0 250.2 335.8 .0 208.0 328.1 345.6 201.9 .0 331.0 331.1 300.0 237.0 .0 382.1 262.3 371.9 .0 216.7 357.8 381.2 206.5 .0 361.2 361.4 500.0 247.3 .0 436.3 277.6 422.8 .0 227.7 398.0 430.9 211.9 .0 402.3 402.5 (1) METHOD OF MOMENTS DURATION = 13H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 107.5 .0 103.9 105.9 102.3 103.9 105.6 103.0 103.9 111.5 .0 3.0 126.7 .0 120.5 124.0 115.9 120.5 123.7 119.9 120.6 131.1 .0 5.0 146.9 .0 140.0 144.1 133.1 140.0 144.0 140.0 140.2 150.0 .0 10.0 170.7 .0 166.2 169.4 158.4 166.2 169.5 167.1 166.2 170.2 .0 20.0 192.1 .0 193.3 193.6 187.2 193.3 193.8 194.8 192.7 186.8 .0 30.0 204.0 .0 209.7 207.6 206.1 209.7 207.8 211.5 208.6 195.3 .0 50.0 218.3 .0 231.3 225.0 232.4 231.3 225.4 233.1 229.4 205.2 .0 70.0 227.4 .0 246.1 236.4 251.4 246.1 237.0 247.7 243.5 211.3 .0 80.0 231.0 .0 252.0 240.9 259.4 252.1 241.6 253.6 249.2 213.6 .0 100.0 236.9 .0 262.2 248.5 273.2 262.2 249.3 263.7 258.9 217.4 .0 200.0 254.7 .0 295.2 271.9 321.1 295.3 273.3 295.8 290.2 228.4 .0 300.0 264.9 .0 315.6 285.6 352.8 315.7 287.5 315.4 309.5 234.4 .0 500.0 277.5 .0 342.4 302.8 397.3 342.5 305.6 341.0 334.9 241.6 .0 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 13H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 108.9 .0 100.3 105.4 101.3 .0 106.9 100.2 .0 110.7 .0 3.0 125.4 .0 114.5 119.4 115.2 .0 122.5 115.5 .0 131.5 .0 5.0 142.6 .0 133.5 134.9 133.0 .0 139.5 135.7 .0 151.6 .0 10.0 162.7 .0 163.0 154.4 159.3 .0 160.3 165.5 .0 173.3 .0 20.0 180.6 .0 198.7 173.1 189.4 .0 179.9 198.9 .0 191.2 .0 30.0 190.3 .0 223.2 183.8 209.2 .0 190.9 220.3 .0 200.4 .0 50.0 202.1 .0 258.7 197.3 237.0 .0 204.7 249.3 .0 211.2 .0 70.0 209.6 .0 285.4 206.1 257.1 .0 213.7 269.8 .0 217.8 .0 80.0 212.6 .0 296.7 209.6 265.6 .0 217.2 278.3 .0 220.3 .0 100.0 217.4 .0 316.8 215.4 280.3 .0 223.1 292.8 .0 224.4 .0 200.0 232.0 .0 389.0 233.5 331.3 .0 241.4 341.2 .0 236.5 .0 300.0 240.2 .0 439.1 244.0 365.4 .0 252.2 372.0 .0 243.1 .0 500.0 250.4 .0 512.0 257.3 413.2 .0 265.7 413.7 .0 251.0 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 13H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 108.6 .0 100.6 106.5 101.0 .0 99.8 99.8 100.4 112.7 .0 99.2 100.4 3.0 125.7 .0 115.3 123.1 115.5 .0 113.6 115.1 115.7 129.7 .0 113.8 113.8 5.0 143.6 .0 134.3 141.7 134.3 .0 128.5 135.1 135.8 145.7 .0 133.9 132.6 10.0 164.6 .0 162.7 165.0 162.1 .0 146.7 164.8 165.5 162.5 .0 164.2 161.9 20.0 183.3 .0 195.7 187.3 194.3 .0 163.6 198.0 199.1 176.1 .0 198.5 196.4 30.0 193.5 .0 217.7 200.2 215.7 .0 173.2 219.2 221.0 183.0 .0 220.7 219.3 50.0 205.9 .0 248.6 216.2 245.7 .0 185.0 248.1 251.3 191.0 .0 251.0 251.4 70.0 213.8 .0 271.3 226.8 267.5 .0 192.7 268.4 273.0 195.9 .0 272.5 274.8 80.0 216.9 .0 280.8 231.0 276.7 .0 195.8 276.8 282.1 197.7 .0 281.4 284.6 100.0 221.9 .0 297.5 237.9 292.8 .0 200.8 291.2 297.8 200.7 .0 296.8 301.6 200.0 237.3 .0 355.8 259.5 348.8 .0 216.4 339.4 351.6 209.5 .0 348.6 360.6 300.0 246.0 .0 395.1 272.1 386.3 .0 225.6 370.0 387.1 214.3 .0 382.1 399.8 500.0 256.7 .0 450.7 288.0 439.4 .0 237.0 411.3 435.9 219.9 .0 427.9 454.9 (1) METHOD OF MOMENTS DURATION = 14H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 111.0 .0 107.4 109.3 105.6 107.4 108.9 106.6 107.5 115.1 .0 3.0 130.8 .0 124.7 128.0 119.6 124.7 127.7 124.2 124.9 135.4 .0 5.0 151.7 .0 145.0 148.8 137.5 144.9 148.7 145.0 145.2 155.0 .0 10.0 176.3 .0 172.0 175.0 163.6 172.0 175.1 172.9 172.0 175.9 .0 20.0 198.6 .0 199.8 200.0 193.4 199.8 200.3 201.3 199.1 193.0 .0 30.0 210.8 .0 216.7 214.5 212.9 216.7 214.8 218.3 215.4 201.9 .0 50.0 225.6 .0 238.7 232.5 240.2 238.7 233.0 240.2 236.5 212.1 .0 70.0 235.1 .0 253.6 244.3 259.9 253.7 245.0 255.1 250.9 218.4 .0 80.0 238.7 .0 259.7 249.0 268.1 259.7 249.7 261.1 256.7 220.8 .0 100.0 244.9 .0 270.0 256.8 282.4 270.0 257.7 271.2 266.5 224.7 .0 200.0 263.4 .0 303.3 281.1 332.0 303.3 282.6 303.6 298.0 236.1 .0 300.0 273.9 .0 323.7 295.2 364.8 323.8 297.3 323.3 317.5 242.3 .0 500.0 286.9 .0 350.6 313.1 410.9 350.7 316.1 348.9 342.8 249.8 .0 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 14H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 112.3 .0 103.4 108.9 104.3 .0 110.2 103.1 .0 114.3 .0 3.0 129.6 .0 118.7 123.8 119.3 .0 126.6 119.5 .0 135.7 .0 5.0 147.6 .0 139.1 140.4 138.7 .0 144.6 141.1 .0 156.5 .0 10.0 168.6 .0 170.7 161.3 167.5 .0 166.6 173.1 .0 178.9 .0 20.0 187.4 .0 208.8 181.4 200.8 .0 187.4 209.0 .0 197.3 .0 30.0 197.7 .0 235.0 192.9 222.8 .0 199.1 231.9 .0 206.9 .0 50.0 210.0 .0 272.8 207.3 253.8 .0 213.8 263.1 .0 217.9 .0 70.0 217.9 .0 301.2 216.7 276.5 .0 223.3 285.1 .0 224.8 .0 80.0 221.0 .0 313.3 220.5 286.0 .0 227.1 294.2 .0 227.4 .0 100.0 226.1 .0 334.7 226.7 302.6 .0 233.4 309.8 .0 231.6 .0 200.0 241.4 .0 411.3 246.1 360.5 .0 253.0 361.9 .0 244.0 .0 300.0 250.1 .0 464.3 257.4 399.3 .0 264.5 395.1 .0 250.8 .0 500.0 260.8 .0 541.5 271.6 454.1 .0 278.9 439.9 .0 259.0 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 14H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 111.9 .0 104.4 109.8 103.8 .0 103.7 103.7 104.1 116.2 .0 102.8 104.9 3.0 130.0 .0 120.3 127.3 119.2 .0 118.9 120.2 120.6 134.1 .0 119.4 120.1 5.0 148.9 .0 140.5 146.9 138.9 .0 135.4 141.3 141.7 151.1 .0 141.3 139.3 10.0 171.1 .0 169.9 171.5 168.4 .0 155.6 171.7 172.4 169.0 .0 172.8 168.3 20.0 191.0 .0 203.3 195.0 202.5 .0 174.6 204.9 206.6 183.4 .0 206.6 202.0 30.0 201.9 .0 225.1 208.6 225.2 .0 185.4 225.8 228.6 190.9 .0 227.5 224.3 50.0 215.0 .0 255.3 225.5 257.2 .0 198.8 253.8 258.8 199.4 .0 255.1 255.4 70.0 223.4 .0 277.1 236.7 280.5 .0 207.5 273.3 280.3 204.6 .0 274.0 277.9 80.0 226.6 .0 286.2 241.1 290.4 .0 211.0 281.3 289.3 206.6 .0 281.7 287.4 100.0 232.0 .0 302.0 248.4 307.6 .0 216.7 295.0 304.6 209.8 .0 294.8 303.8 200.0 248.3 .0 356.5 271.2 367.7 .0 234.5 340.3 357.1 219.2 .0 337.4 360.4 300.0 257.6 .0 392.5 284.5 408.1 .0 244.9 368.7 391.0 224.3 .0 363.7 397.8 500.0 269.1 .0 442.7 301.2 465.3 .0 258.1 406.8 437.8 230.4 .0 398.4 450.1 (1) METHOD OF MOMENTS DURATION = 16H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 116.4 .0 113.0 114.6 110.8 113.0 114.3 112.2 113.1 120.7 .0 3.0 137.0 .0 131.2 134.1 125.4 131.2 133.9 130.8 131.4 141.8 .0 5.0 158.7 .0 152.5 155.7 144.0 152.4 155.7 152.7 152.7 162.1 .0 10.0 184.3 .0 180.5 182.9 171.2 180.5 183.0 181.4 180.4 183.8 .0 20.0 207.4 .0 209.0 209.0 202.2 209.0 209.2 210.2 208.1 201.6 .0 30.0 220.1 .0 226.1 224.0 222.5 226.1 224.2 227.4 224.6 210.7 .0 50.0 235.4 .0 248.2 242.8 250.8 248.3 243.1 249.4 245.8 221.3 .0 70.0 245.2 .0 263.2 255.1 271.2 263.3 255.5 264.2 260.2 227.8 .0 80.0 249.1 .0 269.3 259.9 279.8 269.3 260.4 270.1 265.9 230.3 .0 100.0 255.4 .0 279.5 268.1 294.7 279.6 268.7 280.1 275.6 234.3 .0 200.0 274.6 .0 312.3 293.3 346.0 312.5 294.5 312.1 306.8 246.1 .0 300.0 285.5 .0 332.3 308.0 380.1 332.5 309.7 331.4 325.8 252.6 .0 500.0 299.0 .0 358.4 326.5 427.8 358.6 329.1 356.4 350.6 260.3 .0 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 16H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 117.7 109.9 109.3 114.2 109.1 .0 115.4 109.1 .0 120.0 .0 3.0 135.9 129.5 126.0 130.4 125.9 .0 132.9 126.9 .0 142.2 .0 5.0 155.0 152.9 147.5 148.5 147.6 .0 152.1 149.5 .0 163.6 .0 10.0 177.3 183.7 179.8 171.3 180.3 .0 175.8 182.0 .0 186.7 .0 20.0 197.2 213.7 217.2 193.1 218.4 .0 198.1 217.3 .0 205.7 .0 30.0 208.0 231.0 242.1 205.7 243.9 .0 210.8 239.5 .0 215.6 .0 50.0 221.2 252.6 277.2 221.4 280.0 .0 226.6 269.1 .0 227.0 .0 70.0 229.6 266.8 302.8 231.7 306.5 .0 237.0 289.8 .0 234.0 .0 80.0 232.8 272.4 313.7 235.7 317.7 .0 241.1 298.2 .0 236.7 .0 100.0 238.2 281.7 332.6 242.5 337.3 .0 247.9 312.7 .0 241.1 .0 200.0 254.5 310.6 398.6 263.6 406.0 .0 269.1 360.3 .0 253.9 .0 300.0 263.7 327.4 443.1 276.0 452.4 .0 281.5 390.2 .0 260.8 .0 500.0 275.1 348.4 506.0 291.5 518.5 .0 297.2 430.1 .0 269.2 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 16H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 117.2 .0 110.3 114.9 108.6 .0 109.8 109.8 110.0 121.6 .0 108.6 110.1 3.0 136.4 .0 127.7 133.6 124.8 .0 126.7 127.8 127.9 140.7 .0 127.5 127.6 5.0 156.5 .0 149.2 154.4 145.7 .0 145.1 150.0 150.1 158.8 .0 151.3 149.7 10.0 180.1 .0 179.7 180.5 177.1 .0 167.9 181.1 181.8 177.9 .0 183.8 181.1 20.0 201.3 .0 213.2 205.5 213.5 .0 189.4 213.9 216.2 193.4 .0 216.5 214.5 30.0 212.9 .0 234.5 219.9 237.7 .0 201.7 234.2 238.0 201.3 .0 235.6 234.9 50.0 226.9 .0 263.5 237.9 271.9 .0 216.9 260.9 267.5 210.4 .0 259.8 261.6 70.0 235.9 .0 284.0 249.7 296.9 .0 226.9 279.3 288.2 216.0 .0 275.8 279.9 80.0 239.4 .0 292.5 254.4 307.5 .0 230.8 286.8 296.7 218.1 .0 282.2 287.3 100.0 245.1 .0 307.1 262.2 325.9 .0 237.4 299.5 311.5 221.6 .0 292.8 299.9 200.0 262.5 .0 356.4 286.4 390.4 .0 257.8 341.1 360.7 231.7 .0 326.0 340.4 300.0 272.4 .0 388.2 300.5 433.8 .0 269.8 366.8 392.3 237.1 .0 345.4 365.3 500.0 284.7 .0 431.7 318.3 495.4 .0 285.0 400.8 435.2 243.7 .0 370.0 397.9 (1) METHOD OF MOMENTS DURATION = 18H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 119.9 .0 116.5 117.9 114.1 116.4 117.7 115.8 116.6 124.2 .0 3.0 140.5 .0 135.0 137.5 128.9 135.0 137.5 134.7 135.2 145.4 .0 5.0 162.3 .0 156.4 159.3 147.7 156.4 159.4 156.7 156.6 165.7 .0 10.0 188.0 .0 184.6 186.6 175.2 184.6 186.8 185.4 184.4 187.4 .0 20.0 211.1 .0 213.0 212.9 206.3 213.0 212.9 214.0 212.0 205.0 .0 30.0 223.8 .0 229.9 228.0 226.7 229.9 228.0 231.0 228.3 214.2 .0 50.0 239.1 .0 251.8 246.8 255.0 251.8 246.8 252.7 249.2 224.7 .0 70.0 248.9 .0 266.5 259.2 275.5 266.6 259.1 267.2 263.3 231.1 .0 80.0 252.8 .0 272.4 264.1 284.1 272.5 264.0 273.0 268.9 233.6 .0 100.0 259.1 .0 282.5 272.3 299.0 282.5 272.2 282.8 278.5 237.6 .0 200.0 278.2 .0 314.5 297.7 350.2 314.6 297.8 314.0 309.0 249.3 .0 300.0 289.1 .0 333.9 312.5 384.1 334.1 312.9 332.8 327.4 255.6 .0 500.0 302.6 .0 359.1 331.1 431.6 359.3 332.1 357.0 351.3 263.3 .0 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 18H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 121.0 114.5 113.1 117.4 112.5 .0 118.7 113.4 .0 123.5 .0 3.0 139.5 134.0 130.1 133.9 129.7 .0 136.5 131.4 .0 145.8 .0 5.0 158.8 156.8 151.6 152.3 152.0 .0 156.0 153.6 .0 167.3 .0 10.0 181.2 186.1 183.0 175.4 185.5 .0 179.9 184.6 .0 190.4 .0 20.0 201.3 214.4 218.6 197.6 224.6 .0 202.4 217.3 .0 209.4 .0 30.0 212.3 230.6 241.9 210.3 250.8 .0 215.2 237.5 .0 219.2 .0 50.0 225.5 250.6 274.2 226.2 287.7 .0 231.1 264.1 .0 230.6 .0 70.0 233.9 263.8 297.5 236.7 314.9 .0 241.5 282.4 .0 237.5 .0 80.0 237.2 268.9 307.3 240.8 326.3 .0 245.6 289.8 .0 240.2 .0 100.0 242.6 277.6 324.2 247.7 346.4 .0 252.5 302.5 .0 244.5 .0 200.0 259.0 304.1 382.5 269.1 416.7 .0 273.7 343.7 .0 257.2 .0 300.0 268.3 319.5 421.0 281.6 464.2 .0 286.2 369.3 .0 264.2 .0 500.0 279.7 338.9 474.8 297.4 531.8 .0 301.9 403.0 .0 272.5 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 18H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 120.5 .0 113.4 118.2 111.8 .0 112.9 112.9 113.0 125.1 .0 111.6 111.7 3.0 139.9 .0 131.0 137.1 128.3 .0 129.8 131.0 131.1 144.4 .0 130.8 130.8 5.0 160.3 .0 152.8 158.1 149.5 .0 148.4 153.6 153.8 162.6 .0 155.1 154.9 10.0 184.1 .0 183.7 184.5 181.2 .0 171.2 185.1 186.1 181.8 .0 188.0 187.8 20.0 205.4 .0 217.8 209.8 217.8 .0 192.7 218.5 221.4 197.3 .0 221.1 221.0 30.0 217.1 .0 239.5 224.4 242.2 .0 204.9 239.2 243.8 205.3 .0 240.5 240.5 50.0 231.2 .0 269.1 242.6 276.5 .0 220.1 266.5 274.1 214.4 .0 264.9 265.2 70.0 240.2 .0 290.0 254.5 301.6 .0 230.0 285.3 295.5 220.0 .0 281.1 281.5 80.0 243.7 .0 298.7 259.3 312.2 .0 233.9 293.0 304.4 222.2 .0 287.5 288.0 100.0 249.5 .0 313.7 267.2 330.6 .0 240.5 306.0 319.6 225.6 .0 298.2 298.9 200.0 267.0 .0 364.3 291.6 395.1 .0 260.8 348.6 370.6 235.7 .0 331.6 332.9 300.0 277.0 .0 397.0 305.9 438.4 .0 272.7 375.0 403.5 241.2 .0 351.1 352.9 500.0 289.3 .0 441.8 323.9 499.8 .0 287.7 410.0 447.9 247.7 .0 375.8 378.2 (1) METHOD OF MOMENTS DURATION = 24H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 129.3 .0 126.0 127.0 123.2 126.0 127.1 125.6 126.2 133.9 .0 3.0 150.5 .0 145.5 147.1 138.6 145.4 147.5 145.3 145.8 155.6 .0 5.0 172.8 .0 167.7 169.5 158.1 167.6 170.0 168.0 167.8 176.3 .0 10.0 199.0 .0 196.4 197.6 186.5 196.4 198.0 197.0 196.0 198.1 .0 20.0 222.5 .0 224.8 224.6 218.5 224.8 224.5 225.5 223.5 215.9 .0 30.0 235.3 .0 241.6 240.1 239.3 241.6 239.6 242.2 239.7 225.0 .0 50.0 250.9 .0 263.0 259.5 268.2 263.1 258.5 263.3 260.1 235.5 .0 70.0 260.8 .0 277.3 272.3 289.0 277.4 270.9 277.4 273.8 241.9 .0 80.0 264.7 .0 283.0 277.3 297.7 283.1 275.9 283.0 279.2 244.3 .0 100.0 271.1 .0 292.7 285.7 312.8 292.8 284.1 292.5 288.4 248.3 .0 200.0 290.4 .0 323.1 311.8 364.6 323.3 309.7 322.3 317.5 259.9 .0 300.0 301.4 .0 341.3 327.0 398.7 341.6 324.7 340.1 334.9 266.3 .0 500.0 314.9 .0 364.7 346.2 446.2 365.1 343.8 362.9 357.4 273.8 .0 (2) METHOD OF MAXIMUM LIKELIHOOD DURATION = 24H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 130.3 122.9 122.2 126.5 121.3 .0 127.9 122.3 .0 133.2 .0 3.0 149.5 143.6 140.2 144.0 139.7 .0 146.6 141.3 .0 156.1 .0 5.0 169.6 167.8 162.9 163.5 163.4 .0 167.0 164.8 .0 178.0 .0 10.0 193.0 199.2 195.7 188.0 199.0 .0 192.0 197.5 .0 201.4 .0 20.0 213.7 229.4 232.5 211.6 240.4 .0 215.5 232.0 .0 220.5 .0 30.0 225.1 246.8 256.4 225.1 268.0 .0 228.8 253.2 .0 230.4 .0 50.0 238.8 268.4 289.3 242.0 307.0 .0 245.3 281.2 .0 241.7 .0 70.0 247.5 282.5 312.9 253.1 335.6 .0 256.1 300.4 .0 248.7 .0 80.0 250.9 288.1 322.7 257.5 347.6 .0 260.3 308.3 .0 251.4 .0 100.0 256.5 297.4 339.8 264.8 368.7 .0 267.4 321.6 .0 255.7 .0 200.0 273.4 326.0 398.1 287.6 442.6 .0 289.4 364.9 .0 268.4 .0 300.0 283.0 342.6 436.4 300.8 492.5 .0 302.3 391.8 .0 275.3 .0 500.0 294.8 363.4 489.5 317.5 563.3 .0 318.5 427.2 .0 283.5 .0 (3) METHOD OF PROBABILITY WEIGHTED MOMENTS DURATION = 24H RETURN GAM2 GAM3 GEV GUM LGU2 LGU3 LN2 LN3 LP3 WBU2 WBU3 WKB4 WKB5 PERIOD DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. DIST. 2.0 129.7 .0 122.9 127.1 120.6 .0 122.6 122.6 122.6 134.6 .0 121.2 121.4 3.0 150.1 .0 141.8 146.9 138.0 .0 140.8 141.9 141.8 154.8 .0 142.2 142.1 5.0 171.4 .0 164.7 169.0 160.2 .0 160.8 165.3 165.5 173.8 .0 167.9 167.5 10.0 196.2 .0 196.5 196.7 193.4 .0 185.3 197.4 198.7 193.7 .0 201.5 201.0 20.0 218.4 .0 230.8 223.3 231.6 .0 208.4 230.8 234.3 209.8 .0 233.6 233.4 30.0 230.6 .0 252.2 238.6 256.9 .0 221.4 251.1 256.7 218.1 .0 251.7 251.8 50.0 245.3 .0 281.0 257.7 292.5 .0 237.7 277.7 286.6 227.5 .0 273.9 274.5 70.0 254.7 .0 301.2 270.2 318.5 .0 248.3 295.8 307.5 233.3 .0 288.1 289.2 80.0 258.3 .0 309.4 275.2 329.4 .0 252.5 303.1 316.1 235.5 .0 293.6 294.9 100.0 264.3 .0 323.6 283.4 348.4 .0 259.6 315.6 330.8 239.1 .0 302.8 304.4 200.0 282.5 .0 370.9 309.1 414.8 .0 281.3 355.9 379.8 249.5 .0 330.4 333.3 300.0 292.8 .0 400.9 324.1 459.2 .0 294.0 380.7 410.9 255.1 .0 346.0 349.8 500.0 305.6 .0 441.4 343.0 522.0 .0 310.1 413.2 453.0 261.8 .0 365.1 370.0