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Table 5 MLEs of the parameters from the LGBIII and LBIII regression models fitted to the entomology data, the corresponding SEs (given in parentheses), p-values in [.] and the AIC, CAIC and BIC statistics

From: A useful extension of the Burr III distribution

Model

c

β

σ

τ 0

τ 1

τ 2

AIC

CAIC

BIC

LGBIII

0.1722

1.7304

0.1685

3.4935

− 0.0567

− 0.2830

273.7

274.2

292.6

 

(0.0161)

(0.2708)

(0.0244)

(0.0624)

(0.0534)

(0.0574)

   
    

[ < 0.001]

[0.2890]

[ < 0.001]

   

LBIII

1

0.4016

0.2199

3.4048

0.0402

− 0.3410

338.8

339.2

354.6

 

-

(0.0807)

(0.0286)

(0.0835)

(0.0843)

(0.0888)

   
    

[ < 0.001]

[0.6339]

[0.0002]