Estimation of stress–strength reliability for Maxwell distribution under progressive type-II censoring scheme
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This paper deals with the estimation of stress–strength reliability \(P=P[Y<X]\), when the strength X and stress Y both follow Maxwell distribution with different parameters. We obtain maximum likelihood and Bayes estimates of P using progressive type-II censored samples. We also provide procedures to evaluate asymptotic and bootstrap confidential intervals, as well as, Bayesian credible and highest posterior density intervals for P. We present simulation study and analyze a real data set for numerical illustrations.
KeywordsAsymptotic confidence intervals Bayes estimator Bootstrap Credible intervals Highest posterior density Maximum likelihood estimator Stress–strength model
We are thankful to the editor and reviewers for their helpful suggestions that greatly improved the original manuscript. The first author’s research work is supported by University Grant Commission in the form of Basic Scientific Research fellowship.
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