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

1.0939

1.0722

1.0856

1.0964

1.0781

  

0.8806

0.0339

0.0342

0.0352

0.0187

 

σ

2.1138

2.1026

2.0929

2.1249

2.1242

  

0.4525

0.5188

0.2436

0.0878

0.0539

 

μ

1.1350

1.0736

1.1137

1.0783

1.0729

  

1.0225

0.0934

0.0933

0.0822

0.0425

50

θ

1.0878

1.0544

1.0504

1.0884

1.0715

  

0.5027

0.0059

0.0137

0.0182

0.0062

 

σ

2.1041

2.0444

2.0837

2.0631

2.1147

  

0.3627

0.0371

0.0885

0.0349

0.0387

 

μ

1.0941

1.0689

1.0945

1.063

1.0528

  

0.7252

0.0263

0.0404

0.0381

0.0254

100

θ

1.0348

1.0037

1.0041

1.0499

1.0476

  

0.2317

0.0008

0.0010

0.0113

0.0026

 

σ

2.0648

2.0269

2.0280

2.0238

2.0518

  

0.3119

0.0061

0.0072

0.1388

0.0144

 

μ

1.0710

1.0243

1.0293

1.0458

1.0342

  

0.2822

0.0073

0.0079

0.0252

0.0075