We consider the estimation of stress-strength reliability based on lower record values when X and Y are independently but not\nidentically inverse Rayleigh distributed random variables. The maximum likelihood, Bayes, and empirical Bayes estimators of R are\nobtained and their properties are studied. Confidence intervals, exact and approximate, as well as the Bayesian credible sets for R\nare obtained. A real example is presented in order to illustrate the inferences discussed in the previous sections. A simulation study\nis conducted to investigate and compare the performance of the intervals presented in this paper and some bootstrap intervals.
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