9
Published
2022-11-12
Section
Articles
License
Copyright (c) 2023 Nada S Karam, Hajer M AbdAwon
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Stress-Strength Reliability Bayesian of Generalized Exponential-Poisson Distriution for Complete Data
Nada S Karam
Hajer M AbdAwon
DOI: https://doi.org/10.47831/mjpas.v1i1.11
Keywords: Bayesian analysis, generalized exponential-poisso distribution, Stress-Strength,reliability, prior, posterior, loss functions
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.
