海森概率格纸

历年流量分析 P=50%分位点 -1.862731867 -1.534120544 -1.318010897 -1.15034938 -1.009990169 -0.887146559 -0.776421761 -0.67448975 -0.579132162 -0.488776411 -0.402250065 -0.318639364 -0.237202109 -0.157310685 -0.078412413 -1.39214E-16 0.078412413 0.157310685 0.237202109 0.318639364 0.402250065 0.488776411 0.579132162 0.67448975 0.776421761 0.887146559 1.009990169 1.15034938 1.318010897 1.534120544 1.862731867
年份 1972 1973 1974 1975 1976 1977 1987 1988
序号 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 ∑ 均值X
Xm 2259 1995 1840 1828 1676 1463 பைடு நூலகம்117 1077 1029 990 980 929 777 761 697 614 601 597 571 562 540 493 490 413 407 402 372 343 214 214 196 26447 853.1290323
年份 1956 1957 1958 1959 1960 1961 1962 1963
流量 1676.0 601.0 562.0 697.0 407.0 2259.0 402.0 777.0
年份 1964 1965 1966 1967 1968 1969 1970 1971
某站历年流量资料 流量 614.0 490.0 990.0 597.0 214.0 196.0 929.0 1828.0
Φp 4.65198571 3.07700158 1.89143648 1.34090102 0.74724653 0.07294598 -0.1773197 -0.6232845 -0.8486754 -1.1103876 -1.2857524 -1.5286057
Kp 4.073443787 3.032893476 2.249622001 1.885897804 1.493685997 1.048193477 0.882849552 0.588212459 0.439302624 0.26639632 0.150537431 -0.009909315
P=50%分位点 -3.09023231 -2.32634787 -1.64485363 -1.28155157 -0.84162123 -0.2533471 -1.3921E-16 0.524400513 0.841621234 1.281551566 1.644853627 2.326347874
统计参数计算表 Km Km-1 （Km-1）² 2.647899573 1.64789957 2.715573002 2.338450486 1.33845049 1.791449703 2.156766363 1.15676636 1.338108418 2.142700495 1.1427005 1.305764422 1.964532839 0.96453284 0.930323598 1.71486369 0.71486369 0.511030095 1.309297841 0.30929784 0.095665154 1.262411616 0.26241162 0.068859856 1.206148145 0.20614815 0.042497058 1.160434076 0.16043408 0.025739093 1.148712519 0.14871252 0.022115413 1.088932582 0.08893258 0.007909004 0.910764926 -0.0892351 0.007962898 0.892010436 -0.1079896 0.011661746 0.816992476 -0.1830075 0.033491754 0.719703558 -0.2802964 0.078566095 0.704465535 -0.2955345 0.08734062 0.699776912 -0.3002231 0.090133902 0.669300866 -0.3306991 0.109361917 0.658751465 -0.3412485 0.116450563 0.632964041 -0.367036 0.134715395 0.577872727 -0.4221273 0.178191435 0.57435626 -0.4256437 0.181172594 0.484100276 -0.5158997 0.266152525 0.477067342 -0.5229327 0.273458565 0.471206564 -0.5287934 0.279622498 0.436041895 -0.5639581 0.318048744 0.402049382 -0.5979506 0.357544942 0.250841305 -0.7491587 0.56123875 0.250841305 -0.7491587 0.56123875 0.229742504 -0.7702575 0.59329661 31 2.3315E-15 13.09468512
C 4 2 X p = 1 + Cv ( s GAMMAINV (1 − Pm , 2 ,1) − ) X 2 CS CS
Pm 0.1 1 5 10 20 40 50 70 80 90 95 99
P-Ⅲ型分布频率曲线配线计算表 Tp Φp 8.298856899 5.36387661 5.817492015 3.38512468 4.032363507 1.96158294 3.239404597 1.32924185 2.420375329 0.67611109 1.5531728 -0.0154352 1.2546349 -0.2535028 0.766321098 -0.6429061 0.547214284 -0.8176318 0.324271692 -0.9954162 0.19904287 -1.0952793 0.068024236 -1.1997594
流量 343.0 413.0 493.0 372.0 214.0 1117.0 761.0 980.0
年份 1989 1990 1991 1992 1993 1994 1995
流量 1029.0 1463.0 540.0 1077.0 571.0 1995.0 1840.0
（Km-1）³ Pm=（m/n+1）*100% 4.47499159 3.125 2.39776673 6.25 1.54787881 9.375 1.49209765 12.5 0.89732766 15.625 0.36531686 18.75 0.02958903 21.875 0.01806963 25 0.00876069 28.125 0.00412943 31.25 0.00328884 34.375 0.00070337 37.5 -0.0007106 40.625 -0.0012593 43.75 -0.0061292 46.875 -0.0220218 50 -0.0258122 53.125 -0.0270603 56.25 -0.0361659 59.375 -0.0397386 62.5 -0.0494454 65.625 -0.0752195 68.75 -0.077115 71.875 -0.137308 75 -0.1430004 78.125 -0.1478625 81.25 -0.1793662 84.375 -0.2137942 87.5 -0.4204569 90.625 -0.4204569 93.75 -0.4569912 96.875 8.76000626
Cv值计算 0.660673523 Cs值计算 1.08488993
Cv值 0.660673523 Cs值 1.59488993 均值X 853.1290323 Cs/Cv 2.414036395
分位点归零 0.62878418 1.39266861 2.07416286 2.43746492 2.87739525 3.46566938 3.71901649 4.243417 4.56063772 5.00056805 5.36387011 6.04536436
Cv值 0.660673523 Cs值 1.08488993 均值X 853.1290323 Cs/Cv 1.642096878
分位点归零 0.62878418 1.39266861 2.07416286 2.43746492 2.87739525 3.46566938 3.71901649 4.243417 4.56063772 5.00056805 5.36387011 6.04536436
概率P(%) 3.125 6.25 9.375 12.5 15.625 18.75 21.875 25 28.125 31.25 34.375 37.5 40.625 43.75 46.875 50 53.125 56.25 59.375 62.5 65.625 68.75 71.875 75 78.125 81.25 84.375 87.5 90.625 93.75 96.875
P=50%分位点 -3.09023231 -2.32634787 -1.64485363 -1.28155157 -0.84162123 -0.2533471 -1.3921E-16 0.524400513 0.841621234 1.281551566 1.644853627 2.326347874
Pm 0.1 1 5 10 20 40 50 70 80 90 95 99
参照频率曲线 Tp 11.97446952 9.070978429 6.885383239 5.870468384 4.776063357 3.53298693 3.071620852 2.249482636 1.833973289 1.351505592 1.028219682 0.580518409
Kp 4.543771259 3.236462249 2.295965912 1.878194897 1.446688693 0.989802369 0.832517445 0.57524894 0.459812346 0.342354868 0.276377967 0.207350698
Xp 3876.423177 2761.119906 1958.755177 1602.342594 1234.212124 844.4291368 710.2448021 490.7615718 392.2792615 292.0728775 235.7860674 176.8969
Xp 3475.173156 2587.449476 1919.217841 1608.914168 1274.306889 894.244287 753.1845837 501.8211258 374.7818221 227.270435 128.4278526 -8.4539246
分位点归零 1.856284618 2.184895941 2.401005588 2.568667105 2.709026316 2.831869926 2.942594724 3.044526735 3.139884323 3.230240074 3.31676642 3.400377121 3.481814376 3.561705801 3.640604073 3.719016485 3.797428898 3.87632717 3.956218595 4.037655849 4.121266551 4.207792897 4.298148648 4.393506236 4.495438247 4.606163044 4.729006655 4.869365866 5.037027383 5.25313703 5.581748353