A0177
Title: Inference for multicomponent stress-strength reliability based on generalized Lindley distribution
Authors: Fatma Gul Akgul - Karadeniz Technical University (Turkey) [presenting]
Abstract: The classical and Bayesian estimation of reliability in the multicomponent stress strength model when both the stress and strengths are drawn from the generalized Lindley distribution are considered. The maximum likelihood (ML) and Bayesian methods are used in the estimation procedure. The Bayesian estimates of reliability are obtained by using Lindley's approximation, Tierney-Kadane approximation and Markov Chain Monte Carlo (MCMC) methods due to the lack of explicit forms. The asymptotic confidence intervals are constructed based on the ML estimators. For small sample sizes, the bootstrap confidence intervals are considered. The MCMC method is used to construct the Bayesian credible intervals. A Monte Carlo simulation study is conducted to investigate and compare the performance of the proposed methods. Finally, a real data set is analyzed for illustrative purposes.
