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Bayes estimation of reliability under stress-strength model for the Marshall-Olkin bivariate exponential distribution. (English) Zbl 0983.62074

Summary: We present the Bayes estimate of \(R=P[Y<X]\) when \((X,Y)\) follows the Marshall-Olkin bivariate exponential distribution [A.W. Marshall and I. Olkin, J. Am. Stat. Assoc. 62, 30-44 (1967; Zbl 0147.38106)].

MSC:

62N05 Reliability and life testing
62F15 Bayesian inference
62N02 Estimation in survival analysis and censored data

Citations:

Zbl 0147.38106