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Table 1 MLEs of the model parameters for the cigarettes data, the corresponding SEs (given in parentheses) and the AIC measure

From: A useful extension of the Burr III distribution

Model

α

β

s

c

b

γ

AIC

GBIII

17.0973

0.0282

1.4992

2.6338

-

-

336.827

 

(0.1153)

(0.0006)

(0.0028)

(0.0287)

-

-

 

BIII

18.4311

0.1069

1.6511

1

-

-

938.113

 

(0.1482)

(0.0010)

(0.0015)

(-)

-

-

 

LL

3.7222

1

1.1094

1

-

-

4554.549

 

(0.0092)

(-)

0.0014

(-)

-

-

 

ELL

1

3.6292

0.2635

1

-

-

1022.258

 

(-)

0.0269

0.0023

(-)

-

-

 

BBIII

28.7468

0.5810

1.5547

0.1143

0.4787

-

348.247

 

(0.5524)

(0.0190)

(0.0042)

(0.0041)

(0.0131)

-

 

BW

5.0892

-

-

0.4410

3.8626

2.0235

368.887

 

(0.0321)

-

-

(0.0037)

(0.1545)

(0.0166)