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科研机构
上海财经大学 [8]
内容类型
期刊论文 [8]
发表日期
2009 [1]
2008 [1]
2007 [2]
2006 [3]
2005 [1]
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On V-orthogonal projectors associated with a semi-norm
期刊论文
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2009, 卷号: 61, 期号: 2, 页码: 517-530
作者:
Tian, Yongge
;
Takane, Yoshio
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浏览/下载:3/0
  |  
提交时间:2019/08/22
General linear model
Weighted least-squares estimator
V-orthogonal projector
Moore-Penrose inverses of matrices
Rank formulas for partitioned matrix
Some properties of projectors associated with the WLSE under a general linear model
期刊论文
JOURNAL OF MULTIVARIATE ANALYSIS, 2008, 卷号: 99, 期号: 6, 页码: 1070-1082
作者:
Tian, Yongge
;
Takane, Yoshio
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  |  
浏览/下载:9/0
  |  
提交时间:2019/08/22
general linear model
weighted least-squares estimator
projectors
generalized inverses of matrices
rank formulas for partitioned matrix
elementary block matrix operations (EBMOs)
Some decompositions of OLSEs and BLUEs under a partitioned linear model
期刊论文
INTERNATIONAL STATISTICAL REVIEW, 2007, 卷号: 75, 期号: 2, 页码: 224-248
作者:
Tian, Yongge
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浏览/下载:2/0
  |  
提交时间:2019/08/22
partitioned linear model
small model
ordinary least squares estimator (OLSE)
best linear unbiased estimator (BLUE)
decomposition of estimator
rank formulas for partitioned matrices
elementary block matrix operations (EBMOs)
Some mixed-type reverse-order laws for the moore-penrose inverse of a triple matrix product
期刊论文
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2007, 卷号: 37, 期号: 4, 页码: 1327-1347
作者:
Tian, Yongge
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  |  
浏览/下载:6/0
  |  
提交时间:2019/08/22
On equality and proportionality of ordinary least squares, weighted least squares and best linear unbiased estimators in the general linear model
期刊论文
STATISTICS & PROBABILITY LETTERS, 2006, 卷号: 76, 期号: 12, 页码: 1265-1272
作者:
Tian, Yongge
;
Wiens, Douglas P.
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  |  
浏览/下载:3/0
  |  
提交时间:2019/08/22
general linear model
equality
proportionality
OLSE
WLSE
BLUE
projectors
rank formulas for partitioned matrices
Rank equalities for idempotent matrices with applications
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 卷号: 191, 期号: 1, 页码: 77-97
作者:
Tian, YG
;
Styan, GPH
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  |  
浏览/下载:3/0
  |  
提交时间:2019/08/22
idempotent matrix
orthogonal projector
rank equalities
rank formulas for partitioned matrices
range equalities
nonsingularity
elementary block matrix operations
generalized inverse
RANKS AND INDEPENDENCE OF SOLUTIONS OF THE MATRIX EQUATION AXB
期刊论文
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2006, 卷号: 75, 期号: 1, 页码: 75-84
作者:
Tian, Yongge
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  |  
浏览/下载:4/0
  |  
提交时间:2019/08/22
Generalized inverse
matrix equation
rank equality
rank formulas for partitioned matrices
general solution
independence of solutions
Cochran's statistical theorem for outer inverses of matrices and matrix quadratic forms
期刊论文
LINEAR & MULTILINEAR ALGEBRA, 2005, 卷号: 53, 期号: 5, 页码: 387-392
作者:
Tian, YG
;
Styan, GPH
收藏
  |  
浏览/下载:2/0
  |  
提交时间:2019/08/22
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
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