Table 4 MLEs, BEs and MSEs for MWED using θ = 2, σ = 1, and μ = 1.

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

n

 

MLE

SELF

PLF

QLF

ELF

20

θ

2.0961

2.1491

2.103

2.1287

2.0943

  

1.2391

0.1435

0.0692

0.0564

0.0399

 

σ

1.1165

1.0904

1.1035

1.0703

1.0956

  

0.4704

0.0384

0.0409

0.0415

0.0261

 

μ

1.2117

1.0547

1.0574

1.1050

1.0873

  

1.0286

0.0331

0.0356

0.0970

0.0301

50

θ

2.0920

2.0882

2.0633

2.1262

2.0797

  

0.7882

0.0841

0.0357

0.0360

0.0154

 

σ

1.1036

1.0714

1.0764

1.0423

1.0701

  

0.2211

0.0156

0.0157

0.0129

0.0111

 

μ

1.1893

1.0337

1.0257

1.0422

1.0501

  

0.7136

0.0187

0.0195

0.0122

0.0113

100

θ

2.0709

2.0248

2.0181

2.0798

2.0501

  

0.1741

0.0434

0.0216

0.0150

0.0067

 

σ

1.0825

1.0186

1.0234

1.0135

1.0203

  

0.1734

0.0053

0.0054

0.0072

0.0039

 

μ

1.1446

1.0014

0.9909

1.0043

1.0016

  

0.3897

0.0076

0.0077

0.007

0.0032