ADMISSIBILITY OF LINEAR ESTIMATORS OF A MULTIVARIATE POISSON MEAN UNDER MATRIX LOSS
矩阵损失下多维 POISSON 均值的线性估计的可容许性

The necessary and sufficient condition for a nonnegative homogeneous linear estimatorof a multivariate poisson mean to be admissible within the class of all nonnegative homoge-neous linear estimators unler matrix loss is given.Some sufficient conditions and necessaryconditions for admissibility of an nonnegative nonhomogeneous linear estimator within theclass of nonnegative nonhomogeneous linear estimators are obtained.