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Table 4 MLEs of the model parameters for the entomology data, the corresponding SEs (given in parentheses) and the statistics AIC, CAIC and BIC

From: A new generalized Weibull family of distributions: mathematical properties and applications

Model

α

β

a

γ

 

AIC

CAIC

BIC

GW-LL

1.9359

0.3089

31.2742

7.1305

 

1276.8

1277.0

1289.4

 

(0.5036)

(0.0287)

(5.6950)

(1.0640)

    

LL

1

1

19.7506

2.7441

 

1289.1

1289.2

1295.4

 

(0.9132)

(0.1877)

    
 

β

λ

a

b

c

AIC

CAIC

BIC

McW

0.0301

1.2154

0.6426

3.1889

2.5386

1290.5

1290.9

1306.3

 

(0.0110)

(0.4149)

(0.3719)

(0.8995)

(2.2535)

   

BW

0.0143

2.0779

0.8736

7.4619

1

1325.4

1325.6

1337.9

 

(0.0011)

(0.3950)

(0.2642)

(0.6443)

   

KwW

0.1055

2.0666

1

0.6934

0.1293

1323.1

1323.4

1335.7

 

(0.0112)

(0.1300)

(0.1539)

(0.0118)

   

EW

0.0449

1.5874

1.2548

1

1

1287.5

1287.6

1296.9

 

(0.0075)

(0.2753)

(0.3752)

   

Weibull

0.04007

1.7970

1

1

1

1286.1

1286.2

1292.4

 

(0.0018)

(0.1109)