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Table 4 The MLEs of the parameters and SEs in parentheses and the goodness-of-fit statistics for D2

From: The odd log-logistic logarithmic generated family of distributions with applications in different areas

Model

μ

σ

α

β

\(\hat \ell _{n}\)

W

A

K-S

p-value

OLLLN

930.893

215.288

0.323

0.854

325.684

0.018

0.157

0.057

0.997

 

(151.780)

(93.152)

(0.224)

(0.202)

     

Normal

1191.628

500.709

  

328.303

0.068

0.489

0.083

0.901

 

(76.357)

(53.993)

       

EN

2083.910

52.5006

0.005

 

325.847

0.020

0.174

0.076

0.9485

 

(81.898)

(14.640)

(0.003)

      

BN

2153.003

173.89

0.0496

4.139

325.680

0.017

0.157

0.059

0.996

 

(313.548)

(512.195)

(0.268)

(6.681)

     

GN

2138.76

251.154

0.101

2.607

326.237

0.020

0.183

0.057

0.998

 

(0.036)

(0.036)

(0.016)

(1.319)

     

KN

1825.282

71.445

0.0097

0.529

325.4645

0.018

0.162

0.058

0.997

 

(288.596)

(65.481)

(0.019)

(0.319)

     

LN

748.777

472.416

 

0.974

326.628

0.026

0.221

0.064

0.991

 

(275.414)

(71.311)

 

(0.070)

     

OLL-N

1131.115

223.172

0.338

 

327.292

0.058

0.415

0.125

0.473

 

(75.566)

(99.640)

(0.231)