abstract:In statistics a uniformly minimum-variance unbiased estimator or minimum-variance unbiased estimator (UMVUE or MVUE) is an unbiased estimator that has lower variance than any other unbiased estimator for all possible values of the parameter.
In the present paper, We givethe necessary and sufficient conditions for which the minimumvariancelinearunbiased estimator reduces to the least square in multivariate linear models.