Minimax Estimation of the Parameter of the Maxwell Distribution under Quadratic Loss Function

This paper is concerned with the problem of finding the minimax estimators of the parameter 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.