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Table 3 Reliability of special cases of BIEF

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

N

Case 3, R = 0.625

Case 4, R = 0.8000

10

20

30

50

10

20

30

50

R(M)

0.5946

0.6172

0.6246

0.6231

0.7494

0.7875

0.7952

0.7988

R(S)

0.5881

0.6114

0.6200

0.6202

0.7607

0.7888

0.7957

0.7982

R(N)

0.5908

0.6211

0.6264

0.6258

0.6986

0.7790

0.7914

0.7994

MSE(M)

0.0135

0.0061

0.0041

0.0025

0.0097

0.0028

0.0017

0.0010

MSE(S)

0.0193

0.0087

0.0061

0.0033

0.0106

0.0034

0.0020

0.0012

MSE(N)

0.0197

0.0105

0.0065

0.0049

0.0202

0.0061

0.0047

0.0031

b(M)

0.0304

0.0078

0.0004

0.0019

0.0506

0.0125

0.0048

0.0012

b(S)

0.0369

0.0136

0.0050

0.0048

0.0393

0.0112

0.0043

0.0018

b(N)

0.0342

0.0039

− .0014

− 0.0008

0.1014

0.0210

0.0086

0.0006