Cochran's statistical theorem for outer inverses of matrices and matrix quadratic forms

doi:10.1080/03081080500149040

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	Cochran's statistical theorem for outer inverses of matrices and matrix quadratic forms
	Tian, YG ; Styan, GPH
刊名	LINEAR & MULTILINEAR ALGEBRA
	2005-09-01
卷号	53 期号:5 页码:387-392
关键词	chi-squared distribution idempotent matrix Kronecker product matrix quadratic form matrix version of Cochran's theorem outer inverse of a matrix quadratic forms in normal variables rank additivity rank equalities rank formulas for partitioned matrices rank subtractivity Wishart distribution
ISSN号	0308-1087
DOI	10.1080/03081080500149040
英文摘要	We extend the matrix version of Cochran's statistical theorem to outer inverses of a matrix. As applications, we investigate the Wishartness and independence of matrix quadratic forms for Kronecker product covariance structures.
WOS研究方向	Mathematics
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000231535800006
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/2678]
专题	上海财经大学
通讯作者	Tian, YG
作者单位	1.Shanghai Univ Finance & Econ, Sch Econ, Shanghai 200433, Peoples R China; 2.McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada
推荐引用方式 GB/T 7714	Tian, YG,Styan, GPH. Cochran's statistical theorem for outer inverses of matrices and matrix quadratic forms[J]. LINEAR & MULTILINEAR ALGEBRA,2005,53(5):387-392.
APA	Tian, YG,&Styan, GPH.(2005).Cochran's statistical theorem for outer inverses of matrices and matrix quadratic forms.LINEAR & MULTILINEAR ALGEBRA,53(5),387-392.
MLA	Tian, YG,et al."Cochran's statistical theorem for outer inverses of matrices and matrix quadratic forms".LINEAR & MULTILINEAR ALGEBRA 53.5(2005):387-392.