E-Bayesian estimation of Maxwell distribution and its evaluation standards: E-Posterior Risks and E-MSEs (expected mean square errors)

Abstract

This study explores the problem of developing the E-Bayesian estimates of rate parameter of Maxwell distribution under the loss functions. E-Posterior Risk and E-MSE have been used as the evaluation standards. This study also reveals the association between distinct E-Bayesian estimates under uniform prior distribution of hyperparameters. Monte Carlo simulations are prosecuted to study the efficiency of E-Bayesian estimators empirically and also a real-data application is analysed for exemplifying purposes.