Exponentiated Log-logistic distribution: A Bayesian Approach

Abstract

In this paper, the Markov chain Monte Carlo (MCMC) method is used to estimate the parameters of exponentiated log-logistic distribution based on a complete sample. The procedures are developed to perform full Bayesian analysis of the exponentiated log-logistic distribution using MCMC simulation method in OpenBUGS, established software. We have obtained the Bayes estimates of the parameters and their probability intervals are presented. We have also discussed the estimation of reliability function. A real data set is considered for illustration under independent gamma priors.