Admissible linear estimators in restricted linear models
type: Item
instance of: scholarly article
title: Admissible linear estimators in restricted linear models
zbMATH Open document ID: 0584.62002
DOI: 10.1016/0024-3795(85)90039-4
author: Jerzy K. Baksalary
author: Augustyn Markiewicz
published in: Linear Algebra and its Applications
publication date: 1985-01-01T00:00:00Z
review text: Necessary and sufficient conditions are established for a linear estimator to be admissible among the set of all homogeneous and inhomogeneous linear estimators under a linear model with the vector of parameters subject to linear restrictions. These conditions are then utilized to characterize influence that restrictions involved in a linear model have on the class of admissible linear estimators.
Mathematics Subject Classification ID: 62C15
Mathematics Subject Classification ID: 62H12
Mathematics Subject Classification ID: 62J99
zbMATH DE Number: 3936161
zbMATH Keywords: linear model
zbMATH Keywords: linear restrictions
zbMATH Keywords: admissible linear estimators
MaRDI profile type: Publication
full work available at URL: 0024-3795(85)90039-4
OpenAlex ID: W2005782843
cites work: All Admissible Linear Estimates of the Mean Vector
cites work: Admissibility of linear estimators with respect to restricted parameter sets
cites work: Bayes Linear Estimators
cites work: Estimation of parameters in a linear model
cites work: Q5645536
cites work: A note on estimating the common mean of k normal distributions and the stein problem
description: scientific article; zbMATH DE number 3936161