2008/01/07 by A. M. Abd Elfattah, Elfattah, A. M. Abd, O. Mohamed Marwa +1
Engineering · Mathematics · #Engineering Diagnostics and Reliability #FOS: Computer and information sciences #Methodology (stat.ME) #Reliability and Maintenance Optimization #stat.ME
paper · pdf · doi:10.48550/arxiv.0801.0922
Submitted to the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org)
arxiv created 2008/01/07 · openalex publication_date 2008/01/07 · arxiv updated 2009/12/01 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
In this article, the estimation of reliability of a system is discussed p(y<x) when strength, X, and stress, Y, are two independent exponential distribution with different scale parameters when the available data are type II Censored sample. Different methods for estimating the reliability are applied. The point estimators obtained are maximum likelihood estimator, uniformly minimum variance unbiased estimator, and Bayesian estimators based on conjugate and non informative prior distributions. A comparison of the estimates obtained is performed. Interval estimators of the reliability are also discussed.