Stress-strength reliability of exponentiated Frechet distributions based on Type-Ⅱ censored data

摘要

In this paper, we consider inference of the stress-strength parameter, R, based on two independent Type-II censored samples from exponentiated Frechet populations with different index parameters. The maximum likelihood and uniformly minimum variance unbiased estimators, exact and asymptotic confidence intervals and hypotheses testing for R are obtained. We conduct a Monte Carlo simulation study to evaluate the performance of these estimators and confidence intervals. Finally, two real data sets are analysed for illustrative purposes.