Estimation of stress-strength reliability for poisson-exponential distribution under progressive type II censoring

Abstract

In this study, we are aiming to estimate the stress-strength reliability, R=P(Y<X) based on progressive type-II censored samples when X and Y are independent random variables from a two parameter Poisson-Exponential distribution with the same scale but different shape parameters. The maximum likelihood and Bayesian approaches are used for estimation of R when the scale parameter is unknown. Next, in order to compare the performance of the proposed estimators, we carry out a Monte Carlo simulation study and one real data set is conducted to observe the performance of the proposed estimators.