Bayesian Analysis of Some Probability Models in OpenBUGS Vijay Kumar Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur(U.P.) -273009 E-mail :vkgkp@rediffmail.com In this paper the Bayesian modeling of some probability models based on reliability data in OpenBUGS are presented and various ways of summarizing posterior inference are discussed. BUGS (Bayesian inference Using Gibbs Sampling) is a piece of computer software for the Bayesian analysis of complex statistical models using Markov chain Monte Carlo (MCMC) methods. It has been developing and rapidly growing in popularity for a number of years, and is probably best known in its WinBUGS incarnations. OpenBUGS is the newest innovation: an open source version, which can run on Windows and Linux, as well as from inside the increasingly popular R . Keywords : Bayesian estimation, Gibbs Sampling, MCMC, OpenBUGS.