Stress-Strength Reliability Bayesian of Generalized Exponential-Poisson Distriution for Complete Data

Abstract

In this paper, a Bayesian analysis is made to estimate the Reliability of two stress-strength model systems. First: the reliability  of one component strengths X under stress Y. Second: reliability  of one component strength under two stresses. Where X and Y are independent Generalized Exponential-poison random variables with (α, λ, θ) and (β, λ, θ), parameters respectively. The analysis is concerned based on complete data samples using gamma prior under eight different loss functions (Quadratic, Squared error, Weighted, Linear exponential, precautionary, De Groot, Entropy, 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.