Bayesian analysis of two stress-strength systems reliability for generalized exponential-Poisson distribution

Abstract

In this paper, a Bayesian analysis is made to estimate the Reliability of two stress-strength model systems. First: the reliability R 1 of a two component strengths X 1 and X 2 under common stress Y. Second: reliability R 2 of two components strength under two stresses. Where X and Y are independent Generalized Exponential-poison random variables with(α,λ,θ) and (β,λ,θ), respectively. The analysis is concerned based on left censored samples using gamma prior under four different loss functions (Quadratic, Weighted, Linear exponential and non-Linear exponential). The estimators are compared by Mean squared error criteria due to a simulation study and find that the best performance of the estimators found in order as (Quadratic, Weighted, Linear exponential and non-Linear exponential).