Takayama, Nobuki; Kuriki, Satoshi; Takemura, Akimichi \(A\)-hypergeometric distributions and Newton polytopes. (English) Zbl 1391.33030 Adv. Appl. Math. 99, 109-133 (2018). MSC: 33C70 62H12 62H17 PDFBibTeX XMLCite \textit{N. Takayama} et al., Adv. Appl. Math. 99, 109--133 (2018; Zbl 1391.33030) Full Text: DOI arXiv
Hashiguchi, Hiroki; Takayama, Nobuki; Takemura, Akimichi Distribution of the ratio of two Wishart matrices and cumulative probability evaluation by the holonomic gradient method. (English) Zbl 1397.62188 J. Multivariate Anal. 165, 270-278 (2018). MSC: 62H10 62E20 62H15 PDFBibTeX XMLCite \textit{H. Hashiguchi} et al., J. Multivariate Anal. 165, 270--278 (2018; Zbl 1397.62188) Full Text: DOI arXiv
Hayakawa, Jumpei; Takemura, Akimichi Estimation of exponential-polynomial distribution by holonomic gradient descent. (English) Zbl 1349.60013 Commun. Stat., Theory Methods 45, No. 23, 6860-6882 (2016). MSC: 60E05 PDFBibTeX XMLCite \textit{J. Hayakawa} and \textit{A. Takemura}, Commun. Stat., Theory Methods 45, No. 23, 6860--6882 (2016; Zbl 1349.60013) Full Text: DOI arXiv
Koyama, Tamio; Takemura, Akimichi Holonomic gradient method for distribution function of a weighted sum of noncentral chi-square random variables. (English) Zbl 1348.65028 Comput. Stat. 31, No. 4, 1645-1659 (2016). MSC: 62-08 32C38 62F10 PDFBibTeX XMLCite \textit{T. Koyama} and \textit{A. Takemura}, Comput. Stat. 31, No. 4, 1645--1659 (2016; Zbl 1348.65028) Full Text: DOI arXiv
Marumo, Naoki; Oaku, Toshinori; Takemura, Akimichi Properties of powers of functions satisfying second-order linear differential equations with applications to statistics. (English) Zbl 1325.33016 Japan J. Ind. Appl. Math. 32, No. 2, 553-572 (2015). MSC: 33E30 16S32 62E15 PDFBibTeX XMLCite \textit{N. Marumo} et al., Japan J. Ind. Appl. Math. 32, No. 2, 553--572 (2015; Zbl 1325.33016) Full Text: DOI arXiv
Koyama, Tamio; Takemura, Akimichi Calculation of orthant probabilities by the holonomic gradient method. (English) Zbl 1317.32016 Japan J. Ind. Appl. Math. 32, No. 1, 187-204 (2015). MSC: 32C38 16S32 62H10 PDFBibTeX XMLCite \textit{T. Koyama} and \textit{A. Takemura}, Japan J. Ind. Appl. Math. 32, No. 1, 187--204 (2015; Zbl 1317.32016) Full Text: DOI arXiv
Hashiguchi, Hiroki; Numata, Yasuhide; Takayama, Nobuki; Takemura, Akimichi The holonomic gradient method for the distribution function of the largest root of a Wishart matrix. (English) Zbl 1282.33010 J. Multivariate Anal. 117, 296-312 (2013). Reviewer: A. M. Mathai (Montreal) MSC: 33C15 35C05 62H10 PDFBibTeX XMLCite \textit{H. Hashiguchi} et al., J. Multivariate Anal. 117, 296--312 (2013; Zbl 1282.33010) Full Text: DOI arXiv
Sei, Tomonari; Shibata, Hiroki; Takemura, Akimichi; Ohara, Katsuyoshi; Takayama, Nobuki Properties and applications of Fisher distribution on the rotation group. (English) Zbl 1283.60011 J. Multivariate Anal. 116, 440-455 (2013). MSC: 60B15 62F10 62H11 90C52 60E05 PDFBibTeX XMLCite \textit{T. Sei} et al., J. Multivariate Anal. 116, 440--455 (2013; Zbl 1283.60011) Full Text: DOI arXiv
Ogawa, Mitsunori; Hara, Hisayuki; Takemura, Akimichi Graver basis for an undirected graph and its application to testing the beta model of random graphs. (English) Zbl 1440.13114 Ann. Inst. Stat. Math. 65, No. 1, 191-212 (2013). MSC: 13P10 05C80 62H17 PDFBibTeX XMLCite \textit{M. Ogawa} et al., Ann. Inst. Stat. Math. 65, No. 1, 191--212 (2013; Zbl 1440.13114) Full Text: DOI arXiv
Honda, Junya; Takemura, Akimichi An asymptotically optimal policy for finite support models in the multiarmed bandit problem. (English) Zbl 1237.91037 Mach. Learn. 85, No. 3, 361-391 (2011). MSC: 91A15 91A26 90C25 PDFBibTeX XMLCite \textit{J. Honda} and \textit{A. Takemura}, Mach. Learn. 85, No. 3, 361--391 (2011; Zbl 1237.91037) Full Text: DOI arXiv
Nakayama, Hiromasa; Nishiyama, Kenta; Noro, Masayuki; Ohara, Katsuyoshi; Sei, Tomonari; Takayama, Nobuki; Takemura, Akimichi Holonomic gradient descent and its application to the Fisher-Bingham integral. (English) Zbl 1226.90137 Adv. Appl. Math. 47, No. 3, 639-658 (2011). MSC: 90C52 16Z99 62F10 33F10 32C38 PDFBibTeX XMLCite \textit{H. Nakayama} et al., Adv. Appl. Math. 47, No. 3, 639--658 (2011; Zbl 1226.90137) Full Text: DOI arXiv
Kamiya, Hidehiko; Takemura, Akimichi; Terao, Hiroaki Ranking patterns of unfolding models of codimension one. (English) Zbl 1218.52022 Adv. Appl. Math. 47, No. 2, 379-400 (2011). MSC: 52C35 32S22 PDFBibTeX XMLCite \textit{H. Kamiya} et al., Adv. Appl. Math. 47, No. 2, 379--400 (2011; Zbl 1218.52022) Full Text: DOI arXiv
Hara, Hisayuki; Takemura, Akimichi; Yoshida, Ruriko Markov bases for two-way subtable sum problems. (English) Zbl 1231.62104 J. Pure Appl. Algebra 213, No. 8, 1507-1521 (2009). MSC: 62H17 60J99 PDFBibTeX XMLCite \textit{H. Hara} et al., J. Pure Appl. Algebra 213, No. 8, 1507--1521 (2009; Zbl 1231.62104) Full Text: DOI arXiv
Aoki, Satoshi; Takemura, Akimichi Markov chain Monte Carlo exact tests for incomplete two-way contingency tables. (English) Zbl 1076.62060 J. Stat. Comput. Simulation 75, No. 10, 787-812 (2005). MSC: 62H17 65C40 65C60 62F03 PDFBibTeX XMLCite \textit{S. Aoki} and \textit{A. Takemura}, J. Stat. Comput. Simulation 75, No. 10, 787--812 (2005; Zbl 1076.62060) Full Text: DOI