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

JOURNAL ARTICLE published January 1989 in Linear Algebra and its Applications

Authors: Jerzy K. Baksalary | Augustyn Markiewicz

Admissibility of linear estimators with respect to inequality constraints under matrix loss function

JOURNAL ARTICLE published January 2009 in Linear Algebra and its Applications

Authors: Dao-Jiang He | Da-Wei Guo

Admissible linear estimators in restricted linear models

JOURNAL ARTICLE published October 1985 in Linear Algebra and its Applications

Authors: Jerzy K. Baksalary | Augustyn Markiewicz

Admissibility of linear estimators in multivariate linear models with respect to inequality constraints

JOURNAL ARTICLE published April 2008 in Linear Algebra and its Applications

Authors: Jian-Hong Wu

The matrix inequality M ⩾ B∗MB

JOURNAL ARTICLE published October 1983 in Linear Algebra and its Applications

Authors: J.K. Baksalary | R. Kala | K. Kłaczyński

Further results on invariance of the eigenvalues of matrix products involving generalized inverses

JOURNAL ARTICLE published April 1996 in Linear Algebra and its Applications

Authors: Jerzy K. Baksalary | Augustyn Markiewicz

Some properties of matrix partial orderings

JOURNAL ARTICLE published July 1989 in Linear Algebra and its Applications

Authors: Jerzy K. Baksalary | Friedrich Pukelsheim | George P.H. Styan

Admissible linear estimators in linear models with respect to inequality constraints

JOURNAL ARTICLE published October 2002 in Linear Algebra and its Applications

Authors: Chang-Yu Lu | Ning-Zhong Shi

Idempotency of linear combinations of an idempotent matrix and a tripotent matrix

JOURNAL ARTICLE published October 2002 in Linear Algebra and its Applications

Authors: Jerzy K. Baksalary | Oskar Maria Baksalary | George P.H. Styan

When is a linear combination of two idempotent matrices the group involutory matrix?

JOURNAL ARTICLE published December 2006 in Linear and Multilinear Algebra

Authors: Jerzy K. Baksalary | Oskar Maria Baksalary

Estimation and experiments comparison with respect to the matrix risk

JOURNAL ARTICLE published October 2002 in Linear Algebra and its Applications

Authors: Augustyn Markiewicz

An elementary development of the equation characterizing best linear unbiased estimators

JOURNAL ARTICLE published September 2004 in Linear Algebra and its Applications

Authors: Jerzy K Baksalary

Matrix Wielandt inequality via the matrix geometric mean

JOURNAL ARTICLE published 3 August 2018 in Linear and Multilinear Algebra

Research funded by Japan Society for the Promotion of Science (JP 16K05253) | JSPS (JP 16K05253)

Authors: Masayuki Fujimoto | Yuki Seo

Characterizations of admissible linear estimators in the linear model

JOURNAL ARTICLE published September 2004 in Linear Algebra and its Applications

Authors: Jürgen Groß | Augustyn Markiewicz

A mixed arithmetic-mean-harmonic-mean matrix inequality

JOURNAL ARTICLE published April 1996 in Linear Algebra and its Applications

Authors: B Mond | J.E Pec̆arić

Particular formulae for the Moore–Penrose inverse of a columnwise partitioned matrix

JOURNAL ARTICLE published February 2007 in Linear Algebra and its Applications

Authors: Jerzy K. Baksalary | Oskar Maria Baksalary

Relationships between generalized inverses of a matrix and generalized inverses of its rank-one-modifications

JOURNAL ARTICLE published September 2004 in Linear Algebra and its Applications

Authors: Jerzy K Baksalary | Oskar Maria Baksalary

Spectrum and trace invariance criterion and its statistical applications

JOURNAL ARTICLE published December 1990 in Linear Algebra and its Applications

Authors: Jerzy K. Baksalary | Simo Puntanen

Range invariance of certain matrix products

JOURNAL ARTICLE published September 1983 in Linear and Multilinear Algebra

Authors: Jerzy K. Baksalary | Radosław Kala

A note on comparing the unrestricted and restricted least-squares estimators

JOURNAL ARTICLE published 1990 in Linear Algebra and its Applications

Authors: Jerzy K. Baksalary | PawełR. Pordzik