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## Kurata, Hiroshi

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 Author ID: kurata.hiroshi Published as: Kurata, Hiroshi External Links: MGP
 Documents Indexed: 35 Publications since 1996, including 1 Book
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#### Co-Authors

 8 single-authored 8 Matsuura, Shun 4 Tarazaga, Pablo A. 3 Bapat, Ravindra Bhalchandra 3 Kariya, Takeaki 2 Hoshino, Takahiro 2 Mori, Kazumasa 2 Sakuma, Tadashi 1 Fujikoshi, Yasunori 1 Hachimori, Masahiro 1 Okawa, Masayuki 1 Qiu, Dingxi 1 Shigemasu, Kazuo 1 Tarpey, Thaddeus 1 Tsukuda, Koji
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#### Serials

 7 Journal of Multivariate Analysis 7 Linear Algebra and its Applications 3 Statistical Papers 2 Applied Mathematics and Computation 2 Journal of Statistical Planning and Inference 2 Communications in Statistics. Theory and Methods 2 Scientiae Mathematicae Japonicae 1 Psychometrika 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Statistics 1 Journal of the Japan Statistical Society 1 Statistics & Probability Letters 1 Statistical Methods and Applications 1 Special Matrices 1 Wiley Series in Probability and Statistics
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#### Fields

 23 Statistics (62-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 3 Combinatorics (05-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

25 Publications have been cited 119 times in 84 Documents Cited by Year
Generalized least squares. Zbl 1057.62049
Kariya, Takeaki; Kurata, Hiroshi
2004
On the efficiencies of several generalized least squares estimators in a seemingly unrelated regression model and a heteroscedastic model. Zbl 0951.62053
Kurata, Hiroshi
1999
Some theorems on the core inverse of matrices and the core partial ordering. Zbl 1426.15004
Kurata, Hiroshi
2018
On principal points for location mixtures of spherically symmetric distributions. Zbl 1145.62044
Kurata, Hiroshi
2008
Principal points of a multivariate mixture distribution. Zbl 1328.62077
Matsuura, Shun; Kurata, Hiroshi
2011
A principal subspace theorem for 2-principal points of general location mixtures of spherically symmetric distributions. Zbl 1202.62070
Matsuura, Shun; Kurata, Hiroshi
2010
Multispherical Euclidean distance matrices. Zbl 1195.15038
Kurata, Hiroshi; Tarazaga, Pablo
2010
Least upper bound for the covariance matrix of a generalized least squares estimator in regression with applications to a seemingly unrelated regression model and a heteroscedastic model. Zbl 0868.62060
Kurata, Hiroshi; Kariya, Takeaki
1996
A propensity score adjustment for multiple group structural equation modeling. Zbl 1306.62431
Hoshino, Takahiro; Kurata, Hiroshi; Shigemasu, Kazuo
2006
Best equivariant estimator of regression coefficients in a seemingly unrelated regression model with known correlation matrix. Zbl 1400.62144
Kurata, Hiroshi; Matsuura, Shun
2016
Moore-Penrose inverse of a Euclidean distance matrix. Zbl 1310.15060
Kurata, Hiroshi; Bapat, Ravindra B.
2015
Definition and properties of $$m$$-dimensional $$n$$-principal points. Zbl 1298.62101
Matsuura, Shun; Kurata, Hiroshi
2013
Linear subspace spanned by principal points of a mixture of spherically symmetric distributions. Zbl 1271.62111
Kurata, Hiroshi; Qiu, Dingxi
2011
Moore-Penrose inverse of a hollow symmetric matrix and a predistance matrix. Zbl 1342.15026
Kurata, Hiroshi; Bapat, Ravindra B.
2016
Optimal estimators of principal points for minimizing expected mean squared distance. Zbl 1326.62123
Matsuura, Shun; Kurata, Hiroshi; Tarpey, Thaddeus
2015
Principal points for an allometric extension model. Zbl 1297.62036
Matsuura, Shun; Kurata, Hiroshi
2014
Majorization for the eigenvalues of Euclidean distance matrices. Zbl 1244.15011
Kurata, Hiroshi; Tarazaga, Pablo
2012
Allometric extension model for conditional distributions. Zbl 1169.62331
Kurata, Hiroshi; Hoshino, Takahiro; Fujikoshi, Yasunori
2008
One-sided tests for independence of seemingly unrelated regression equations. Zbl 1050.62072
Kurata, Hiroshi
2004
Inequalities associated with intra-inter-class correlation matrices. Zbl 1035.62059
Kurata, Hiroshi
2004
A generalization of Rao’s covariance structure with applications to several linear models. Zbl 0941.62075
Kurata, Hiroshi
1998
On cell matrices: a class of Euclidean distance matrices. Zbl 1334.15090
Tarazaga, Pablo; Kurata, Hiroshi
2014
Characterization of multispherical and block structures of Euclidean distance matrices. Zbl 1283.15109
Kurata, Hiroshi; Matsuura, Shun
2013
A theorem on the covariance matrix of a generalized least squares estimator under an elliptically symmetric error. Zbl 1247.62138
Kurata, Hiroshi
2010
A group majorization ordering for Euclidean distance matrices. Zbl 1162.15011
Kurata, Hiroshi; Sakuma, Tadashi
2007
Some theorems on the core inverse of matrices and the core partial ordering. Zbl 1426.15004
Kurata, Hiroshi
2018
Best equivariant estimator of regression coefficients in a seemingly unrelated regression model with known correlation matrix. Zbl 1400.62144
Kurata, Hiroshi; Matsuura, Shun
2016
Moore-Penrose inverse of a hollow symmetric matrix and a predistance matrix. Zbl 1342.15026
Kurata, Hiroshi; Bapat, Ravindra B.
2016
Moore-Penrose inverse of a Euclidean distance matrix. Zbl 1310.15060
Kurata, Hiroshi; Bapat, Ravindra B.
2015
Optimal estimators of principal points for minimizing expected mean squared distance. Zbl 1326.62123
Matsuura, Shun; Kurata, Hiroshi; Tarpey, Thaddeus
2015
Principal points for an allometric extension model. Zbl 1297.62036
Matsuura, Shun; Kurata, Hiroshi
2014
On cell matrices: a class of Euclidean distance matrices. Zbl 1334.15090
Tarazaga, Pablo; Kurata, Hiroshi
2014
Definition and properties of $$m$$-dimensional $$n$$-principal points. Zbl 1298.62101
Matsuura, Shun; Kurata, Hiroshi
2013
Characterization of multispherical and block structures of Euclidean distance matrices. Zbl 1283.15109
Kurata, Hiroshi; Matsuura, Shun
2013
Majorization for the eigenvalues of Euclidean distance matrices. Zbl 1244.15011
Kurata, Hiroshi; Tarazaga, Pablo
2012
Principal points of a multivariate mixture distribution. Zbl 1328.62077
Matsuura, Shun; Kurata, Hiroshi
2011
Linear subspace spanned by principal points of a mixture of spherically symmetric distributions. Zbl 1271.62111
Kurata, Hiroshi; Qiu, Dingxi
2011
A principal subspace theorem for 2-principal points of general location mixtures of spherically symmetric distributions. Zbl 1202.62070
Matsuura, Shun; Kurata, Hiroshi
2010
Multispherical Euclidean distance matrices. Zbl 1195.15038
Kurata, Hiroshi; Tarazaga, Pablo
2010
A theorem on the covariance matrix of a generalized least squares estimator under an elliptically symmetric error. Zbl 1247.62138
Kurata, Hiroshi
2010
On principal points for location mixtures of spherically symmetric distributions. Zbl 1145.62044
Kurata, Hiroshi
2008
Allometric extension model for conditional distributions. Zbl 1169.62331
Kurata, Hiroshi; Hoshino, Takahiro; Fujikoshi, Yasunori
2008
A group majorization ordering for Euclidean distance matrices. Zbl 1162.15011
Kurata, Hiroshi; Sakuma, Tadashi
2007
A propensity score adjustment for multiple group structural equation modeling. Zbl 1306.62431
Hoshino, Takahiro; Kurata, Hiroshi; Shigemasu, Kazuo
2006
Generalized least squares. Zbl 1057.62049
Kariya, Takeaki; Kurata, Hiroshi
2004
One-sided tests for independence of seemingly unrelated regression equations. Zbl 1050.62072
Kurata, Hiroshi
2004
Inequalities associated with intra-inter-class correlation matrices. Zbl 1035.62059
Kurata, Hiroshi
2004
On the efficiencies of several generalized least squares estimators in a seemingly unrelated regression model and a heteroscedastic model. Zbl 0951.62053
Kurata, Hiroshi
1999
A generalization of Rao’s covariance structure with applications to several linear models. Zbl 0941.62075
Kurata, Hiroshi
1998
Least upper bound for the covariance matrix of a generalized least squares estimator in regression with applications to a seemingly unrelated regression model and a heteroscedastic model. Zbl 0868.62060
Kurata, Hiroshi; Kariya, Takeaki
1996
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#### Cited by 131 Authors

 15 Kurata, Hiroshi 9 Matsuura, Shun 6 Mosić, Dijana 6 You, Jinhong 5 Hoshino, Takahiro 4 Ma, Haifeng 3 Bapat, Ravindra Bhalchandra 3 Kariya, Takeaki 3 Stanimirović, Predrag S. 3 Tarpey, Thaddeus 3 Tong, Tiejun 3 Yamamura, Yoshiro 2 Behera, Ratikanta 2 Dai, Wenlin 2 Drusvyatskiy, Dmitriy 2 Li, Jialiang 2 Loperfido, Nicola M. R. 2 Ma, Yanyuan 2 Mexia, João Tiago Praça Nunes 2 Nunes, Célia 2 Qiu, Dingxi 2 Sahoo, Jajati Keshari 2 Tarazaga, Pablo A. 2 Wang, Zhu 2 Wolkowicz, Henry 2 Xu, Qinfeng 2 Zhou, Yong 1 Ali, Patrick 1 Amraoui, Salah 1 Ando, Tomohiro 1 Arif, Osama H. 1 Atik, Fouzul 1 Bai, Yang 1 Bailey, Rosemary A. 1 Cahueñas, Oskar 1 Carvalho, Francisco P. 1 Chen, Jianlong 1 Chen, Min 1 Chen, Wei-Chen 1 Chu, Qiping 1 Cortiella, Alexandre 1 Cousot, Laurent 1 da Conceição Ferreira, Dario Jorge 1 Damm, Tobias 1 de la Peña, José Antonio 1 de Visser, Cornelis C. 1 Doi, Eiichi 1 Doostan, Alireza 1 Draper, Norman R. 1 Eidous, Omar M. 1 Estrada, Ernesto 1 Faßbender, Heike 1 Ferreira, Sandra Saraiva 1 Ferreyra, David E. 1 Fonseca, Miguel A. 1 Galimberti, Giuliano 1 Gong, Li 1 Guo, Jin 1 Hall, Stephen G. F. 1 He, Bing 1 He, Yanyu 1 Hernádez-Ramos, Luis M. 1 Hitier, Sebastien 1 Jiang, Hong 1 Kamiya, Hidehiko 1 Katsikis, Vasilios N. 1 Ke, Yuan 1 Klavžar, Sandi 1 Krislock, Nathan 1 Kubokawa, Tatsuya 1 Laurent, Jean Paul 1 Levis, Fabián Eduardo 1 Li, Tingting 1 Li, Xiaoli 1 Maharana, Gayatri 1 Maitra, Ranjan 1 Manca, Vincenzo 1 Marchetti, Luca 1 Mayekawa, Shinichi 1 Mehta, Jatinder S. 1 Miyazaki, Kei 1 Mulder, J. A. 1 Nadjafi-Arani, Mohammad Javad 1 Nozaki, Hiroshi 1 Palta, Mari 1 Park, Kwang-Chun 1 Pataki, Gábor 1 Perlman, Michael D. 1 Qian, Jianwei 1 Raydan, Marcos 1 Roychowdhury, Mrinal Kanti 1 Sánchez-Lirola, M. G. 1 Santos, Carla F. 1 Scardovi, Elena 1 Shankar, Anoop 1 Shigemasu, Kazuo 1 Shinohara, Masashi 1 Soffritti, Gabriele 1 Stojanović, Katarina S. 1 Sun, Xiaoqian ...and 31 more Authors
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#### Cited in 45 Serials

 6 Linear Algebra and its Applications 5 Journal of Multivariate Analysis 5 Communications in Statistics. Theory and Methods 4 Journal of Statistical Planning and Inference 4 Computational Statistics and Data Analysis 4 Statistical Papers 3 Linear and Multilinear Algebra 3 Statistics & Probability Letters 3 Journal of Systems Science and Complexity 2 Metrika 2 Psychometrika 2 Applied Mathematics and Computation 2 Quaestiones Mathematicae 2 Results in Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Communications in Statistics. Simulation and Computation 2 SIAM Journal on Optimization 2 Journal of Applied Statistics 2 Asia-Pacific Financial Markets 1 Computer Methods in Applied Mechanics and Engineering 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Statistics 1 Automatica 1 Journal of the American Statistical Association 1 Journal of Econometrics 1 Statistica Neerlandica 1 SIAM Journal on Matrix Analysis and Applications 1 Economics Letters 1 International Journal of Computer Mathematics 1 Computational and Applied Mathematics 1 Bernoulli 1 Journal of Mathematical Chemistry 1 Econometric Theory 1 Quantitative Finance 1 Statistical Methods and Applications 1 Statistical Analysis and Data Mining 1 Journal of Statistical Theory and Practice 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Statistics and Computing 1 Special Matrices 1 Bulletin of Computational Applied Mathematics
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#### Cited in 17 Fields

 55 Statistics (62-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 14 Numerical analysis (65-XX) 6 Combinatorics (05-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Operator theory (47-XX) 3 Systems theory; control (93-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX)