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Author:

Xu, Li Wen (Xu, Li Wen.) | Wang, Song Gui (Wang, Song Gui.)

Indexed by:

Scopus SCIE CSCD

Abstract:

In this paper, the authors address the problem of the minimax estimator of linear combinations of stochastic regression coefficients and parameters in the general normal linear model with random effects. Under a quadratic loss function, the minimax property of linear estimators is investigated. In the class of all estimators, the minimax estimator of estimable functions, which is unique with probability 1, is obtained under a multivariate normal distribution.

Keyword:

quadratic loss function stochastic regression coefficients normal linear model minimax estimator

Author Community:

  • [ 1 ] Tsing Hua Univ, Dept Math, Beijing 100084, Peoples R China
  • [ 2 ] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

Reprint Author's Address:

  • [Xu, Li Wen]Tsing Hua Univ, Dept Math, Beijing 100084, Peoples R China

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Source :

ACTA MATHEMATICA SINICA-ENGLISH SERIES

ISSN: 1439-8516

Year: 2007

Issue: 3

Volume: 23

Page: 497-506

0 . 7 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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