General optimality and general admissibility of linear estimates of the mean matrix
type: Item
instance of: scholarly article
title: General optimality and general admissibility of linear estimates of the mean matrix
zbMATH Open document ID: 0785.62059
author: Minyu Xie
author: Yaoting Zhang
published in: Chinese Science Bulletin
publication date: 1994-04-19T00:00:00Z
review text: We introduce a definition of general optimality in estimating a linear estimable function \(S_{k \times p}\Theta\) (\(S' \subset \mu(X')\)) of the mean matrix \(\Theta\) in the multivariate linear model: \[ Y_{n \times m}= X_{n \times p} \Theta+\varepsilon,\quad E(\varepsilon)=0,\quad\text{ Cov}(\vec\varepsilon)=\sigma^ 2U_{n \times n} \otimes V_{m \times m},\quad n \geq m. \] {}.
Mathematics Subject Classification ID: 62H12
Mathematics Subject Classification ID: 62J05
Mathematics Subject Classification ID: 62C15
zbMATH DE Number: 468812
zbMATH Keywords: general admissibility
zbMATH Keywords: general optimality
zbMATH Keywords: linear estimable function
zbMATH Keywords: mean matrix
zbMATH Keywords: multivariate linear model
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 468812