Model

Parameters

Estimated Parameters

Goodness-of-fit Test Statistics

AIC

KS

CvM

AD

Lognormal-Pareto (LPC)

β

0.7181631

143141.2

0.1288046

22266.22

198.393

θ

10233.05

Lognormal-Burr

(LBC)

σ

1.117488

141001.1

0.06464014

1327.889

22.9029

θ

17714.93

α

0.03118409

β

51.30768

s

16627.52

Lognormal-Inverse Paralogistic

(LIPaC)

σ

0.8050095

141236.2

0.2708801

32411.05

360.5476

θ

37399.35

τ

1.610152

s

1.754455

Lognormal-Paralogistic

(LPaC)

σ

0.80475

141236.2

0.06385445

379.0071

27.40241

θ

37335.19

α

1.267696

s

0.2210377

Lognormal-loglogistic

(LLC)

σ

0.8056159

141236.2

0.06411453

396.6818

27.56333

θ

37384.58

γ

1.605893

s

5.182061

Lognormal-Inverse Pareto (LIPC4)

σ

0.7786674

141647.4

0.08487503

10560.21

86.81077

θ

21911.52

α

0.2620021

s

0.0947796

Lognormal-Inverse

Burr (LIBC)

σ

0.8059115

141238.2

0.06419904

410.3249

27.59355

θ

37448.29

τ

13.68639

γ

1.607251

s

0.2197676