Stress-strength reliability of the proportional hazard rate models under Type-I progressively hybrid censored samples

Document Type : Original Scientific Paper

Authors

Department of Statistics‎, ‎Yazd University‎, ‎Yazd‎, ‎Iran

Abstract

This study focuses on estimating the stress-strength parameter R‎, ‎utilizing two independent Type-I progressively hybrid censored samples derived from populations governed by the proportional hazard rate model‎. ‎The maximum likelihood and Bayes estimators are obtained under some well-known loss functions and the assumption that the priors are independently gamma-distributed‎. ‎The asymptotic confidence interval and Bayesian and highest posterior density credible intervals are also presented‎. ‎A Monte Carlo simulation study is used to evaluate the performances of the obtained point estimators and confidence and credible intervals‎. ‎Finally‎, ‎a pair of real data sets is analyzed for illustrative purposes.

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