Comparison of the scale parameter estimators for Maxwell distribution using different prior distributions

Abstract

The Maxwell distribution plays an important role in physics, chemistry and other allied sciences. In this paper used the maximum likelihood estimation and Bayesian using different priors information for estimating the scale parameter of Maxwell distribution of life time are presented. Monte – Carlo simulation is used to compare of these estimators with respect to the Mean Square Error (MSE) ,and the results of comparison showed that for all the varying sample size, the estimators of Bayes method when the prior distribution is inverted gamma is smaller MSE compared to others, and in all cases for both methods the MSE decrease as sample size increases.