Minimax Estimation Of The Parameter Of The Maxwell Distribution Under Quadratic Loss Function

Abstract

This paper is concerned with the problem of finding the minimax estimators of the parameter θ of the Maxwell distribution (MW) for quadratic loss functions by applying the theorem of Lehmann [1950]. Through simulation study the performance of this method compared with the classical methods containing the Maximum Likelihood and moment Estimators with respect to Mean squared-errors (MSEs) .We reach to that the Minimax estimator with small positive values of c gives the best results, followed by the Maximum likelihood estimator