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[1] Zhu Daoyuan*, Zhao Shengli,. Quasi-χ2 Distribution and theIndependence of Wishart Distribution [J]. Journal of Southeast University (English Edition), 2002, 18 (2): 173-176. [doi:10.3969/j.issn.1003-7985.2002.02.014]
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Quasi-χ2 Distribution and theIndependence of Wishart Distribution()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
18
Issue:
2002 2
Page:
173-176
Research Field:
Mathematics, Physics, Mechanics
Publishing date:
2002-06-30

Info

Title:
Quasi-χ2 Distribution and theIndependence of Wishart Distribution
Author(s):
Zhu Daoyuan1* Zhao Shengli2
1Department of Mathematics, Southeast University, Nanjing 210096, China
2Qufu Normal University, Qufu 273165, China
Keywords:
quasi-χ2 Wishart distribution independence
PACS:
O212.1
DOI:
10.3969/j.issn.1003-7985.2002.02.014
Abstract:
In this paper, the authors generalize the definition of χ2 distribution and introduce a quasi-χ2 distribution, and then prove several properties of it, find the necessary and sufficient conditions of independence about multivariate normal distributions, matrix normal distributions and two parts of the Wishart distribution.

References:

[1] Anderson T W. An introduction to multivariate statistical analysis. 2nd edition[M].New York:Wiley. 1984.
[2] Zhang Yaoting, Fang Kaitai. An introduction to multivariate statistical analysis[M]. Beijing:Science Publication, 1982.(in Chinese)
[3] Muirhead R J. Aspects of muitivariate statitical theory [M]. New York: Wiley, 1982.
[4] Zhu Daoyuan, Wu Chengou, Qin Weiliang. Multivariate statistical analysis and the SAS software[M]. Nanjing: Southeast University Press, 1999.(in Chinese)

Memo

Memo:
* Born in 1947, male, professor.
Last Update: 2002-06-20