Bayesian Analysis of k-out-of-n System using Weighted Exponential Lindley Distribution

Abstract

This paper proposes the Bayesian paradigm to analyze the reliability characteristics of a [Formula: see text]-out-of-[Formula: see text] system consisting of [Formula: see text] independent and identically distributed components, using Weighted Exponential-Lindley distribution as failure times. The Bayesian approach is utilized to estimate reliability characteristics like system reliability and mean time to system failure. Lindley’s approximation is employed along with Jeffery prior under a squared error loss function to obtain the estimators for these reliability measures. A simulation study is carried out for comparing the performances of these estimators. Finally, a real data set is used to illustrate the findings.