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上海财经大学 [7]
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期刊论文 [8]
会议论文 [2]
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Some equalities for estimations of partial coefficients under a general linear regression model
期刊论文
STATISTICAL PAPERS, 2011, 卷号: 52, 期号: 4, 页码: 911-920
作者:
Tian, Yongge
;
Zhang, Jieping
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2019/08/22
Partitioned linear model
Partial parameters
OLSE
BLUE
Equalities for estimations
Moore-Penrose inverses of matrices
Matrix rank method
Some equalities for estimations of variance components in a general linear model and its restricted and transformed models
期刊论文
JOURNAL OF MULTIVARIATE ANALYSIS, 2010, 卷号: 101, 期号: 9, 页码: 1959-1969
作者:
Tian, Yongge
;
Liu, Chunmei
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  |  
浏览/下载:3/0
  |  
提交时间:2019/08/22
Linear regression model
Restricted model
Transformed model
Sub-sample model
Reduced model
Simple estimator
Minimum norm quadratic unbiased estimator
Equality for estimators
Matrix rank method
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)
Rank equalities related to the generalized inverse AT, S(2) with applications
期刊论文
Applied Mathematics and Computation, 2008, 卷号: 205, 页码: 370-382
作者:
Wang, Qing-Wen[1]
;
Song, Guang-Jing[2]
;
Lin, Chun-Yan[3]
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2019/05/06
Rank
Linear matrix expression
Moore-Penrose inverse
Drazin inverse
Weighted Moore-Penrose inverse
Block matrix
Rank Equalities for Some Matrix Expressions Related to Least Squares g-inverses with Applications
会议论文
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS
作者:
Wu, Zhong-Cheng[1]
;
Wang, Qing-Wen[2]
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  |  
浏览/下载:2/0
  |  
提交时间:2019/05/06
real quaternion algebra
least squares g-inverse
rank equalities
Rank Equalities for Quaternion Matrix in Drazin Inverse
会议论文
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS
作者:
Zhang, Hua-Sheng[1]
;
Wang, Qing-Wen[2]
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  |  
浏览/下载:3/0
  |  
提交时间:2019/05/06
rank
quaternion matrix
Moore-penrose inverse
Drazin inverse
block matrix
On constrained generalized inverses of matrices and their properties
期刊论文
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2007, 卷号: 59, 期号: 4, 页码: 807-820
作者:
Takane, Yoshio
;
Tian, Yongge
;
Yanai, Haruo
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  |  
浏览/下载:1/0
  |  
提交时间:2019/08/22
linear matrix expression
moore-Penrose inverse
constrained generalized inverses
matrix equation
projector
idempotent matrix
rank equalities
general linear model
weighted least-squares estimator
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)
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
收藏
  |  
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
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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