Bayesian Estimation of Reliability for Multicomponent Stress-Strength Model Based on Topp-Leone Distribution

Abstract

In this paper, the reliability function of a multicomponent stress-strength model was calculated when each stress and strength variable had a Topp-Leone distribution and an identically independent distribution (i.i.d). By assuming that the primary normal information is related to the Gamma Distribution and the Weibull Distribution on several occasions, the estimation was based on the Bayes using Lindley approximation methods, under the squared error loss function, in order to find the optimal method, the mathematical formulas for these estimators were developed and compared. Using a Monte Carlo simulation method, the estimators were compared based on the mean squares error (MSE)..