Table 3 MLEs, BEs and MSEs for MWED using θ = 1, 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

1.0927

1.0722

1.0743

1.1374

1.1252

  

1.0682

0.0142

0.0148

0.7354

0.0242

 

σ

2.0801

2.1122

2.1143

2.1127

2.0779

  

0.9407

0.2494

0.1373

0.2144

0.0276

 

μ

2.2013

2.1231

2.1296

2.1411

2.0979

  

1.4127

0.3088

0.1714

0.4371

0.0433

50

θ

1.0790

1.0257

1.0277

1.0763

1.0337

  

0.7869

0.0055

0.0056

0.5436

0.0038

 

σ

2.0735

2.0546

2.0894

2.1081

1.9949

  

0.6464

0.0781

0.0449

0.1502

0.0107

 

μ

2.1722

2.0655

2.1058

2.1335

1.9888

  

1.1692

0.1263

0.0706

0.4039

0.0149

100

θ

1.0601

1.0056

1.0007

1.0249

1.0003

  

0.2150

0.0028

0.0028

0.1827

0.0010

 

σ

2.0249

2.0112

2.0205

2.1012

1.9855

  

0.3468

0.0376

0.0190

0.0150

0.0051

 

μ

2.1208

2.0222

2.0374

2.0878

1.9807

  

0.6539

0.0622

0.0318

0.2820

0.0073