Reliability estimation of the stress-strength model with non-identical jointly type-Ⅱ censored Weibull component strengths

摘要

This article considers the estimation of the stress-strength reliability with non-identical and also jointly censored component strengths. Both stress and strength variables are assumed to follow two-parameter Weibull distribution. In this reliability model, we assume type-II censoring scheme for common stress variable and jointly type-II censoring scheme for strength variables. Inferences for the reliability of this system are obtained with maximum likelihood estimation (MLE) and Bayesian estimation methods. In the Bayesian section, point estimations are obtained with Lindley's approximation and Markov Chain Monte Carlo method with the Metropolis-Hasting algorithm. Also, asymptotic confidence intervals for the MLEs and the highest posterior density credible intervals for Bayesian estimations are obtained. Theoretical outcomes are illustrated with simulation studies and a real data example.