A matrix inequality and admissibility of linear estimators with respect to the mean square error matrix criterion-Reference-Cited by-同舟云学术

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A matrix inequality and admissibility of linear estimators with respect to the mean square error matrix criterion

Published:1989-01 Issue: Volume:112 Page:9-18
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Baksalary Jerzy K.,Markiewicz Augustyn

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference15 articles.

1. Partial orderings between matrices one of which is of rank one;Baksalary;Bull. Polish Acad. Sci. Math.,1983

2. The Coordinate-Free Approach to Gauss-Markov Estimation;Drygas,1970

3. Categorical information and the singular linear model;Feuerverger;Canad. J. Statist.,1980

4. Inequalities: Theory of Majorization and Its Applications;Marshall,1979

5. Unified theory of linear estimation;Rao;Sankhyā Ser. A,1971

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1. Admissible Estimation for Linear Combination of Fixed and Random Effects in General Mixed Linear Models;Communications in Statistics - Theory and Methods;2010-06-09

2. Admissibility in the general growth curve model with respect to restricted parameter sets under matrix loss function;Acta Mathematica Scientia;2010-01

3. Characterization of admissible linear estimators in the general growth curve model with respect to an incomplete ellipsoidal restriction;Linear Algebra and its Applications;2009-07

4. Admissible Estimators in the General Multivariate Linear Model with Respect to Inequality Restricted Parameter Set;Journal of Inequalities and Applications;2009

5. Admissibility of Linear Estimators in a Growth Curve Model Subject to an Incomplete Ellipsoidal Restriction;Acta Mathematica Scientia;2008-01

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