Reliability estimation in multicomponentstress–strength model for Topp-Leone distribution

Abstract

In this paper, we consider the estimation reliability in multicom-ponent stress-strength (MSS) model when both the stress andstrengths are drawn from Topp-Leone (TL) distribution. The max-imum likelihood (ML) and Bayesian methods are used in the esti-mation procedure. Bayesian estimates are obtained by using Lind-ley’s approximation and Gibbs sampling methods, since they cannotbe obtained in explicit form in the context of TL. The asymptoticconfidence intervals are constructed based on the ML estimators.The Bayesian credible intervals are also constructed using Gibbssampling. The reliability estimates are compared via an extensiveMonte-Carlo simulation study. Finally, a real data set is analysed forillustrative purposes.