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Table 2 MLEs, their SEs (in parentheses) and goodness-of-fit measures for the first data set

From: The power-Cauchy negative-binomial: properties and regression

Distribution

Estimates

AIC

K-S

p-value

PCNB(α, p, n, σ)

1.8529

0.0029

0.3905

3.5171

487.1582

0.0791

0.9131

 

(0.3737)

(0.0015)

(0.1375)

(1.6477)

 

BW(a, b, c, λ)

8.9783

0.10422

0.5264

0.3086

489.5797

0.1028

0.6655

 

(3.9535)

(0.0224)

(0.0250)

(0.0033)

 

PCG(α, p, σ)

1.182

71.1917

0.9153

 

492.4754

0.0911

0.8009

 

(0.1415)

(6.7322)

(0.9334)

 

BHC(a, b, σ)

1.5514

0.9514

11.1816

 

499.1124

0.1256

0.4096

 

(0.6308)

(0.3152)

(9.3295)

 

KHC(a, b, σ)

1.3321

0.9188

14.3689

 

497.3825

0.1528

0.1936

 

(0.8090)

(0.3935)

(7.9620)

 

PC(α, σ)

1.0127

25.1088

  

492.7543

0.0877

0.8360

 

(0.1271)

(5.2807)