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Table 1 Average estimates of β and the associated MSEs

From: Reliability estimation under type-II censored data from the generalized Bilal distribution

n

n

MLE

Bayes prior 1

Bayes prior 2

   

IS1

IS2

IS1

IS2

25

15

0.5535

0.5189

0.5381

0.5274

0.5381

  

0.0134

0.0144

0.0129

0.0109

0.0101

 

20

0.5432

0.5118

0.5411

0.5216

0.5413

  

0.0104

0.0122

0.0099

0.0097

0.0083

 

25

0.5405

0.5121

0.5478

0.5200

0.5456

  

0.0096

0.0115

0.0091

0.0092

0.0077

30

20

0.5476

0.4971

0.5256

0.5096

0.5291

  

0.0093

0.0119

0.0097

0.0093

0.0080

 

25

0.5427

0.4945

0.5362

0.5072

0.5362

  

0.0083

0.0112

0.0082

0.0088

0.0072

 

30

0.5412

0.4955

0.5412

0.5069

0.5397

  

0.0079

0.0108

0.0075

0.0087

0.0067

40

30

0.5447

0.4647

0.5117

0.4784

0.5149

  

0.0060

0.0125

0.0071

0.0098

0.0063

 

35

0.5428

0.4647

0.5236

0.4764

0.5250

  

0.0057

0.0121

0.0060

0.0097

0.0055

 

40

0.5421

0.4656

0.5294

0.4775

0.5279

  

0.0056

0.0116

0.0056

0.0095

0.0051