POSTERIOR ESTIMATES OF EXPONENTIATED MINIMAX DISTRIBUTION UNDER DIFFERENT PRIORS

Abstract

In this paper, Bayesian estimation of unknown parameter of the exponentiated minimax distribution is examined under different priors. The posterior distributions for the unknown parameter of the exponentiated minimax distribution are derived using the following priors: Jeffrey’s, extension of Jeffrey’s, gamma-exponential distribution, chi-square-exponential distribution, gamma-exponential-chi-square distribution and chi-square-exponential-inverse Levy distribution. A comparison of these informative and non- informative priors on the basis of posterior variances has also been discussed by making use of simulation techniques.