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Table 2 Reliability of special cases of BEF

From: Bivariate general exponential models with stress-strength reliability application

N

Case 1, R = 0.5882

Case 2, R = 0.6400

10

20

30

50

10

20

30

50

R(M)

0.5475

0.5860

0.5869

0.5886

0.6102

0.6334

0.6395

0.6391

R(C)

0.5429

0.5809

0.5840

0.5862

0.6069

0.6319

0.6377

0.6389

R(S)

0.5353

0.5774

0.5809

0.5831

0.6096

0.6292

0.6355

0.6371

R(N)

0.5458

0.5859

0.5886

0.5905

0.5956

0.6347

0.6416

0.6419

MSE(M)

0.0158

0.0079

0.0048

0.0031

0.0135

0.0062

0.0041

0.0025

MSE(C)

0.0179

0.0079

0.0051

0.0034

0.0147

0.0068

0.0045

0.0026

MSE(S)

0.0259

0.0099

0.0067

0.0043

0.0177

0.0091

0.0054

0.0033

MSE(N)

0.0280

0.0119

0.0081

0.0050

0.0185

0.0105

0.0076

0.0043

b(M)

0.0408

0.0022

0.0012

− .0003

0.0298

0.0066

0.0004

0.0009

b(C)

0.0453

0.0073

0.0042

0.0020

0.0331

0.0081

0.0023

0.0011

b(S)

0.0529

0.0108

0.0073

0.0051

0.0304

0.0108

0.0045

0.0029

b(N)

0.0424

0.0023

− .0004

− .0022

0.0444

0.0052

− 0.0016

− 0.0019