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Inheriting independence and chi-squaredness under certain matrix orderings

  • Published:1984-01 Issue:1 Volume:2 Page:35-38
  • ISSN:0167-7152
  • Container-title:Statistics & Probability Letters
  • language:en
  • Short-container-title:Statistics & Probability Letters

Author:

Baksalary Jerzy K,Hauke Jan

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference6 articles.

1. On the difference between two second degree polynomials, each following a chi-square distribution;Baksalary;Sankhyā Ser. A,1980

2. On the distribution of certain quadratic forms in normal variates;Bhat;J. Roy. Statist. Soc. Ser. B,1962

3. Equalities and inequalities for ranks of matrices;Marsaglia;Linear and Multilinear Algebra,1974

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

5. Independence of quadratic quantities in a normal system;Ogasawara;J. Sci. Hiroshima University Ser. A,1951

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1. A reformulation of the criteria for the independence of quadratic functions in normal variables;Communications in Statistics - Theory and Methods;2018-01-23

2. On the independence of linear and quadratic forms in normal variates;Communications in Statistics - Theory and Methods;2017-05-08

3. Weighted pre-orders involving the generalized Drazin inverse;Applied Mathematics and Computation;2015-11

4. Weighted binary relations involving the Drazin inverse;Applied Mathematics and Computation;2015-02

5. Relationships between partial orders of matrices and their powers;Linear Algebra and its Applications;2004-03
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