Distribution | Kolmogorov Smirnov | Anderson Darling | Chi-Squared | |||
Statistic | Rank | Statistic | Rank | Statistic | Rank | |
Pareto | 0.01816 | 1 | 2.2587 | 7 | 3.2094 | 1 |
Pearson 6 (4P) | 0.01877 | 2 | 4.3282 | 11 | N/A | |
Dagum (4P) | 0.02032 | 3 | 0.35633 | 1 | 5.4068 | 4 |
Log-Logistic (3P) | 0.02146 | 4 | 0.58452 | 2 | 6.9813 | 6 |
Burr (4P) | 0.02223 | 5 | 4.2821 | 10 | N/A | |
Lognormal (3P) | 0.02975 | 6 | 0.7423 | 3 | 3.7114 | 2 |
Gen. Pareto | 0.03098 | 7 | 1.6016 | 4 | 4.5452 | 3 |
Inv. Gaussian (3P) | 0.04038 | 8 | 2.1557 | 6 | 17.966 | 8 |
Log-Pearson 3 | 0.04065 | 9 | 2.1431 | 5 | 6.0442 | 5 |
Pearson 5 (3P) | 0.04121 | 10 | 2.9102 | 9 | 26.673 | 10 |
Frechet (3P) | 0.0415 | 11 | 2.781 | 8 | 21.23 | 9 |
Gen. Extreme Value | 0.07233 | 12 | 6.0418 | 12 | 10.895 | 7 |
Pearson 5 | 0.10769 | 13 | 23.488 | 18 | 66.948 | 15 |
Pearson 6 | 0.10943 | 14 | 22.838 | 17 | 64.565 | 13 |
Fatigue Life (3P) | 0.11065 | 15 | 15.325 | 13 | 62.524 | 12 |
Levy (2P) | 0.11716 | 16 | 19.679 | 15 | 132.06 | 18 |
Weibull (3P) | 0.12044 | 17 | 25.749 | 19 | 135.87 | 19 |
Frechet | 0.13169 | 18 | 17.489 | 14 | 49.008 | 11 |
Gamma (3P) | 0.14025 | 19 | 40.773 | 21 | N/A | |
Log-Gamma | 0.14105 | 20 | 21.828 | 16 | 65.85 | 14 |
Lognormal | 0.15359 | 21 | 41.181 | 22 | 115.63 | 17 |
Burr | 0.15361 | 22 | 382.41 | 49 | N/A | |
Log-Logistic | 0.15647 | 23 | 38.795 | 20 | 103.63 | 16 |
Chi-Squared (2P) | 0.19292 | 24 | 108.79 | 29 | 198.12 | 20 |
Gen. Gamma (4P) | 0.19467 | 25 | 58.949 | 23 | 347.85 | 26 |
Weibull | 0.1948 | 26 | 99.293 | 27 | 230.06 | 22 |
Fatigue Life | 0.2034 | 27 | 83.944 | 24 | 203.71 | 21 |
Cauchy | 0.24559 | 28 | 100.08 | 28 | 261.54 | 23 |
Exponential | 0.24673 | 29 | 90.209 | 26 | 286.56 | 25 |
Rayleigh (2P) | 0.26225 | 30 | 204.45 | 40 | N/A | |
Exponential (2P) | 0.26411 | 31 | 169.35 | 31 | 415.52 | 29 |
Kumaraswamy | 0.27082 | 32 | 127.53 | 30 | N/A | |
Error | 0.3109 | 33 | 184.03 | 34 | 394.5 | 27 |
Laplace | 0.3109 | 34 | 184.03 | 33 | 394.5 | 28 |
Pareto 2 | 0.31804 | 35 | 88.52 | 25 | 276.02 | 24 |