参数空间被限制时有限总体的可容许估计

Admissible Estimation for Finite Population When the Parameter Space is Restricted

本文考虑参数空间被限制时有限总体的可容许估计问题,在期望均方误差准则下,获得了有限总体指标值的线性函数之线性估计在线性估计类中为可容许的充要条件.

This paper considers the admissibility of the estimators for finite population when the parameter space is restricted. We obtain all admissible linear estimators of an arbitrary linear function of the characteristic values of a finite population in a class of linear estimators under the criterion of the expectation of mean square error.