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The comparative studies on reliability for Rayleigh models
Journal of the Korean Data & Information Science Society 2018;29:533-45
Published online March 31, 2018
© 2018 Korean Data and Information Science Society.

Ji Eun Oh1 · Joong Kweon Sohn2

12Department of Statistics, Kyungpook National University
Correspondence to: Professor, Department of Statistics, Kyungpook National University, Daegu 41566, Korea. E-mail: jsohn@knu.ac.kr
Received January 12, 2018; Revised March 12, 2018; Accepted March 13, 2018.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper, several methods to estimate the reliability R of a Rayleigh model as a function of given time t are proposed and studied. Many research have been done by providing some informations on parameters of a Raleigh model rather R itself. Here R is a probability to endure a certain level of stress. Thus for the Bayesian method, several priors are given to R directly. Also a bootstrap method and a maximum likelihood method are examined and compared with a Bayesian method in term of mean square errors. we find that Bayesian methods perform better than other methods.
Keywords : Bayes estimator, bootstrap estimator, maximum likelihood estimator, rayleigh distribution, reliability.