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浏览/检索结果: 共9条，第1-9条 帮助 已选(0)清除 条数/页：5101520253035404550556065707580859095100   排序方式：请选择作者升序作者降序题名升序题名降序发表日期升序发表日期降序提交时间升序提交时间降序 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 收藏  |  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 收藏  |  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 收藏  |  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 收藏  |  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. 收藏  |  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 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   On common generalized inverses of a pair of matrices 期刊论文 LINEAR & MULTILINEAR ALGEBRA, 2006, 卷号: 54, 期号: 3, 页码: 195-209 作者:  Tian, YG;  Takane, Y 收藏  |  浏览/下载：2/0  |  提交时间：2019/08/22 generalized inverses  rank formulas for partitioned matrices  range equality  set inclusion  set equality   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 收藏  |  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