Inverse Chen Bayesian analysis for Parallel Redundant Stress –Strength Reliability

Abstract

In this paper, a Bayesian analysis made to estimate the reliability of a parallel redundant system with independent stress and strength of Inverse Chen distribution(ICD). The analysis is focused on gamma-primed left-censored samples under four distinct loss functions. (squared error, Quadratic, weighted and Linear exponential loss function). A Monte Carlo simulation was conducted to compare the estimates using the mean square error to obtain the best estimate. It was found that the best estimators can be under squared error loss function.