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