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

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... quare errors. we find that Bayesian methods perform better than other methods.