Remark to an unambiguity of estimators in the universal linear statistical models with the type ii constraints

Mathematica Slovaca

Lubomír Kubáček¹ 

关键词: universal linear statistical model;    type II constraints;    unambiguity of estimators;   

DOI  :  10.2478/s12175-010-0021-y

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

In the universal linear statistical model with the type II constraints, estimates of the unbiasedly estimable linear functions of the parameters of the mean value vector are given by special types of generalized matrix inverse. Since there exists many versions of such matrix inverse it is of some interest to check the unambiguity of obtained estimators. The aim of the paper is to find the best unbiased linear estimators of unbiasedly estimable functions and to show that they do not depend on the choice of the used generalized inverse of the matrices.

【 授权许可】

Unknown