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Inheriting independence and chi-squaredness under certain matrix orderings
Authors:
- Jerzy K Baksalary,
- Jan Hauke
Abstract
Let x ∼ N(μ, Z), and let S = (Σ:μ). It is shown that if x′A1x is independent of x′Bx (x′A1x is distributed as a chi-square variable), then this property is inherited by every x′A2x for which S′A2S precedes S′A1S with respect to the range preordering (with respect to the rank subtractivity partial ordering). © 1984.
- Record ID
- UAM331f5058717e46a390ab51dec11d574b
- Author
- Journal series
- Statistics & Probability Letters, ISSN 0167-7152
- Issue year
- 1984
- Vol
- 2
- Pages
- 35-38
- ASJC Classification
- ;
- DOI
- DOI:10.1016/0167-7152(84)90034-8 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 0
- Score source
- journalList
- Publication indicators
- = 13; = 13; = 18; : 1999 = 0.735; : 2006 (2 years) = 0.286 - 2007 (5 years) =0.443
- Citation count
- 20
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM331f5058717e46a390ab51dec11d574b/
- URN
urn:amu-prod:UAM331f5058717e46a390ab51dec11d574b
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.