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Welcome to Hiroshi Kurata's Page  

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 Hiroshi Kurata (倉田博史)

Professor of Statistics at

   The University of Tokyo, Graduate School of Arts and Sciences.

Email : h.kurata.statistics AT gmail.com

 

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Ph.D., Hitotsubashi University, 1996.  (Advisor: Professor Takeaki Kariya (刈屋武昭 先生))

Research:  Mathematical Statistics, Econometrics and Linear Algebra.

My favorite research problems :  Euclidean distance matrices,  Generalized inverse of matrices, Principal points of multivariate distributions,  Group invariance statistical theory, Generalized least squares estimation, etc.

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Publications:

 Books 

 [1] Takeaki Kariya and Hiroshi Kurata, Generalized Least Squares, John, Wiley & Sons, 2004.

 [2] 田博史・星野崇宏,『入門統計解析』,新世社,2009.

 [3] 倉田博史, 『大学4年間の統計学が10時間でざっと学べる』, KADOKAWA, 2017.

 

 

  Papers 

[1] Hiroshi Kurata and Takeaki Kariya, 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, The Annals of Statistics, 24 (1996), no.4, 1547-1559.

 

[2] Hiroshi Kurata, A generalization of Rao's covariance structure with applications to several linear models, Journal of Multivariate Analysis, 67 (1998), no.2 , 297-305.

 

[3] Hiroshi Kurata, On the efficiencies of several generalized least squares estimators in a seemingly unrelated regression model and a heteroscedastic model, Journal of Multivariate Analysis, 70 (1999), no.1, 86-94.

 

[4] 倉田博史・刈屋武昭,「一般化最小2乗推定法の理論−展望」,商学論集67 (1999), 9-20. [Hiroshi Kurata and Takeaki Kariya, A review of the theory of generalized least squares estimation,  Journal of Commerce, Economics and Economic History, 67 (1999), 9-20 (in Japanese).]

 

[5] Hiroshi Kurata, A note on an upper bound for the covariance matrix of a generalized least squares estimator in a heteroscedastic model, Scientiae Mathematicae Japonicae, 53 (2001), no.1,  161-169.

 

[6] Takeaki Kariya and Hiroshi Kurata, A maximal extension of the Gauss-Markov theorem and its nonlinear version, Journal of Multivariate Analysis, 83 (2002), no. 1, 37-55.

 

[7] Hiroshi Kurata, Inequalities associated with intra-inter-class correlation matrices, Journal of Multivariate Analysis, 88 (2004), no.2, 207-221.

 

[8] Hiroshi Kurata, One-sided tests for independence of seemingly unrelated regression equations, Journal of Multivariate Analysis, 90 (2004), no. 2, 393-406.

 

[9] Takahiro Hoshino, Hiroshi Kurata and Kazuo Shigemasu, A propensity score adjustment for multiple group structural equation modeling, Psychometrika, 71 (2006), no. 4, 691-712.

 

[10] Hiroshi Kurata and Tadashi Sakuma, A group majorization ordering for Euclidean distance matrices, Linear Algebra and Its Applications, 420 (2007), no. 2-3, 586-595. 

 

[11] Hiroshi Kurata, Takahiro Hoshino and Yasunori Fujikoshi, Allometric extension model for conditional distributions, Journal of Multivariate Analysis, 99 (2008), no. 9, 1985-1998.

 

[12] Hiroshi Kurata, On principal points for location mixtures of spherically symmetric distributions, Journal of Statistical Planning and Inference, 138 (2008), no. 11, 3405-3418.

 

[13] Yasunori Fujikoshi and Hiroshi Kurata, Information criterion for some independence structures, In K. Shigemasu et al. (eds.) New Trends in Psychometrics, 69-78, Universal Academy Press, 2008. (The 72th International Meeting of the Psychometric Society).

 

[14] Masahiro Hachimori, Hiroshi Kurata and Tadashi Sakuma, Determining the minimum rank of matroids whose basis graph is common, Electronic Notes in Discrete Mathematics, 31 (2008), 137-142. (The International Conference on Topological and Geometric Graph Theory).

 

[15] Hiroshi Kurata,  A theorem on the covariance matrix of a generalized least squares estimator under an elliptically symmetric error,  Statistical Papers, 51 (2010), no. 2,  389-395.

 

[16] Hiroshi Kurata and Pablo Tarazaga, Multispherical Euclidean distance matrices,  Linear Algebra and Its Applications, 433 (2010), no.1, 534-546.

 

[17] 黒田佑次郎・岩瀬哲・岩満優美・山本大悟・梅田恵・川口崇・坂田尚子・倉田博史・佐倉統・南雲吉則・中川恵一, 「乳癌患者の更年期症状がQOLに与える影響について」, 総合病院精神医学, 22 (2010), no1, 27-34. [Yujiro Kuroda et al. (Hiroshi Kurata is the eighth author),  The impact of menopausal symptoms on quality of life among breast cancer survivors, Japanese Journal of  General Hospital Psychiatry, 22 (2010), no. 1, 27-34 (in Japanese)]  

 

[18] Kazumasa Mori and Hiroshi Kurata, The MSE of an adaptive ridge estimator in a linear regression model with spherically symmetric error, Scientiae Mathematicae Japonicae, 72 (2010), no.1,  1-9.

 

[19] Shun Matsuura and Hiroshi Kurata, A principal subspace theorem for 2-principal points of a general location mixture of spherically symmetric distributions, Statistics and Probability Letters,  80 (2010), 1863-1869. 

  

[20] Shun Matsuura and Hiroshi Kurata, Principal points of a multivariate mixture distribution,  Journal of Multivariate Analysis, 102 (2011), 213-224.

 

[21] Hiroshi Kurata and Dingxi Qiu, Linear subspace spanned by principal points of a mixture of spherically symmetric distributions,  Communications in Statistics-Theory and Methods, 40 (2011) issue 15, 2737-2750.

 

[22] 松浦峻・倉田博史, 「異なる球面対称分布の位置混合分布の principal points の性質について」, 京都大学数理解析研究所講究録1758, (2011),  60-79.

 

[23] Hiroshi Kurata and Pablo Tarazaga, Majorization for the eigenvalues of Euclidean distance matrices, Linear Algebra and Its Applications, 436 (2012) No.5, 1474--1481.

 

[24] Shun Matsuura and Hiroshi Kurata,  Definition and properties of m-dimensional n-principal points,  Communications in Statistics-Theory and Methods, 42 (2013), no. 2, 267-282.

 

[25] Kazumasa Mori and Hiroshi Kurata, Optimal correlation-preserving linear predictors of factor scores in factor analysis, Journal of Japan Statistical Society, 43 (2013), no1, 79-89.

 

[26] Hiroshi Kurata and Shun Matsuura, Characterization of multispherical and block structures of Euclidean distance matrices, Linear Algebra and its Applications, 439 (2013), no. 10, 3177-3183.

 

[27] Shun Matsuura and Hiroshi Kurata, Principal points for an allometric extension model, Statistical Papers, 55 (2014), no. 3, 853-870.

 

[28]  Pablo Tarazaga and Hiroshi Kurata, On cell matrices: a class of Euclidean distance matrices. Applied Mathematics and Computation, 238 (2014), 468-474.

 

[29] Hiroshi Kurata and Ravindra B. Bapat, Moore-Penrose inverse of a Euclidean distance matrix, Linear Algebra and its Applications472 (2015),  106-117.

 

[30] Hiroshi Kurata and Pablo Tarazaga, The cell matrix closest to a given Euclidean distance matrix, Linear Algebra and its Applications, 485 (2015), 194-207.

 

[31] Shun Matsuura, Hiroshi Kurata and Thaddeus Tarpey,  Optimal estimators of principal points for minimizing expected mean squared distance, Journal of Statistical Planning and Inference, 167 (2015), 102-122

 

[32] Hiroshi Kurata and Ravindra B. Bapat, Moore-Penrose inverses of  a hollow symmetric matrix and a predistance matrix, Special  Matrices, 4 (2016), 270-282. 

 

[33] Hiroshi Kurata and Shun Matsuura, Best equivariant estimator of regression coefficients in a seemingly unrelated regression model with known correlation matrix, Annals of the Institute of Statistical Mathematics, 68  (2016),  no. 4, 705-723.

 

[34] Hiroshi Kurata, Some theorems on the core inverse of matrices and the core partial ordering, Applied Mathematics and Computation (to appear).

 

Other writings 

研究報告:

  [1] 倉田博史・元山斉・岸野洋久, 重複是正措置の下での Horvitz-Thompson 推定量の構成とその精度, 総務省統計局委託研究『重複複是正措置が結果精度に及ぼす影響に関する報告書』(2002), 54-67.

 

項目執筆:

  [1]  倉田博史, 「最小2乗法」と「最尤法」の2項目,  『金融工学事典』(今野浩・刈屋武昭・木島正明編), 朝倉書店, 2004年.

 

解説記事:

  [1]  倉田博史,第1・2回RSS/JSS試験(Higher Certificate)の報告, Estrela, 234 (2013), 14-19.

  [2]  倉田博史,成績評価の妥当性を評価する新しい指標について,東京大学教育研究データ分析室紀要,1 (2014), 9-12.

  [3]  倉田博史,カントロビッチ不等式と統計学,東京大学大学院情報学環紀要『情報学研究』, 90 (2016), i-iv.

  [4]  倉田博史,almost magically (a.m.) に成り立つ等式,日本統計学会会報, No. 170 (2017).

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Editorship:  

Chief Editor of  Journal of Japan Statistical Society (2015--2017),

Associate Editor of Journal of Japan Statistical Society (1998--2000, 2010--2015),

Associate Editor of  The Annals of the Institute of Statistical Mathematics (2006 -- 2015),

Co-editor of  The Annals of the Institute of Statistical Mathematics (2015 -- present),

Reviewer of Mathematical Reviews (2004 -- present).  

 

Paper Reviewing Experience:

        Linear and Multilinear Algebra, Annals of Institute of Statistical Mathematics, Journal of Multivariate Analysis, Journal of Statistical Planning and Inference, Journal of American Statistical Association, Journal of Econometrics, Statistics and Probability Letters, Communications in Statistics-Theory and Methods, Journal of Japan Statistical Society, Statistical Methodology, Japanese Economic Review, Statistical Papers, Computational Statistics and Data Analysis, Ars Mathematica Contemporanea, Hacettepe Journal of Mathematics and Statistics, Analele Stiintifice ale Universitatii "Al. I. Cuza" din Iasi  etc.

 

LINKS:

to My Advisor:

Professor Takeaki Kariya at Meiji University,  Professor Emeritus at Hitotsubashi University  ( 刈屋武昭 先生) 

 

to My Collaborators:

Professor Shun Matsuura at Keio University (慶応大学理工学部 松浦峻 先生)

Professor Pablo Tarazaga at Texas A&M University Corpus Christi

Professor Ravindra B. Bapat at Indian Statistical Institute New Delhi

Professor Tadashi Sakuma at Yamagata University (山形大学地域教育文化学部 佐久間雅 先生)  

 

to My Friends:

Professor Jun-ichiro Fukuchi at Gakushuin University (学習院大学経済学部 福地純一郎先生)

  (福地純一郎 兄ぃのページ)

    

  

 

 

 

 

 

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