Table 5 MLEs, BEs and MSEs for MWED using θ = 2, σ = 2 and μ = 2.

From: Applicability of modified weibull extension distribution in modeling censored medical datasets: a bayesian perspective

n

 

MLE

SELF

PLF

QLF

ELF

20

θ

2.0851

2.1256

2.1132

2.1079

2.1443

  

2.2909

0.0357

0.0227

0.0238

0.0233

 

σ

2.1164

2.1589

2.1185

2.1001

2.1182

  

0.7689

0.0464

0.0245

0.0200

0.0182

 

μ

2.2546

2.1878

2.0869

2.0774

2.1753

  

1.4630

0.1869

0.0903

0.1211

0.0547

50

θ

2.0815

2.0807

2.0739

2.0913

2.1053

  

1.3059

0.0135

0.0089

0.0117

0.0081

 

σ

2.1136

2.1078

2.1192

2.0794

2.1015

  

0.3862

0.0216

0.0193

0.0081

0.0125

 

μ

2.2288

2.0915

2.0217

2.0483

2.1582

  

0.9203

0.0786

0.0378

0.0982

0.0335

100

θ

2.0486

2.0032

2.0023

2.0106

2.0095

  

0.4421

0.0050

0.0025

0.0011

0.0001

 

σ

2.0971

2.0011

2.0005

2.0020

2.0123

  

0.3103

0.0067

0.0034

0.0011

0.0010

 

μ

2.2081

2.0386

1.9923

2.0016

2.0353

  

0.3594

0.0495

0.0249

0.0106

0.0042