業績リスト
学術論文
[1] Y. Kitao, T. Inada, T. Arinami, C. Hirotsu, S. Aoki, Y. Iijima, T. Yamauchi and G. Yagi (2000). A
Contribution to Genome-wide Association Studies: Search for Susceptibility Loci for Schizophrenia using
DNA Microsatellite Markers on Chromosomes 19, 20, 21 and 22. Psychiatric Genetics, 10, 139–143.
[2] M. S. Srivastava, C. Hirotsu, S. Aoki and E. Glimm (2001). Multivariate One-Sided Tests. In Data
Analysis from Statistical Foundations. (A Festschrift in Honor of the 75th Birthday of D. A. S. Fraser),
Nova Science Publishers, New York, 387–401.
[3] C. Hirotsu, S. Aoki, T. Inada and Y. Kitao (2001). An exact test for the association between the disease
and alleles at highly polymorphic loci — with particular interest in the haplotype analysis—. Biometrics,
57, 148–157.
[4] S. Aoki (2002). Improving path trimming in a network algorithm for Fisher’s exact test in two-way
contingency tables. Journal of Statistical Computation and Simulation, 72, 205–216.
[5] S. Aoki and A. Takemura (2003). Minimal basis for connected Markov chain over 3 × 3 × K contingency
tables with fixed two-dimensional marginals. Australian and New Zealand Journal of Statistics, 45,
229–249.
[6] S. Aoki (2003). Network algorithm for the exact test of Hardy-Weinberg proportion for multiple alleles,
Biometrical Journal, 45, 471–490.
[7] 太田絵里, 青木敏, 広津千尋 (2003). 2 × 2 × K 分割表における単調仮説の検定. 応用統計学, 32, 107–126.
[8] A. Takemura and S. Aoki (2004). Some characterizations of minimal Markov basis for sampling from
discrete conditional distributions. Annals of the Institute of Statistical Mathematics, 56, 1–17.
[9] A. Takemura and S. Aoki (2005). Distance reducing Markov bases for sampling from discrete sample
space. Bernoulli, 11, 793–813.
[10] T. Suzuki, S. Aoki and K. Murota (2005). Use of primal-dual technique in the network algorithm for
two-way contingency tables. Japan Journal of Industrial and Applied Mathematics, 22, 133–145.
[11] S. Aoki and A. Takemura (2005). Markov chain Monte Carlo exact tests for incomplete two-way contingency tables, Journal of Statistical Computation and Simulation, 75, 787–812.
[12] S. Aoki and A. Takemura (2008). Minimal invariant Markov basis for sampling contingency tables with
fixed marginals. Annals of the Institute of Statistical Mathematics, 60, 229–256.
[13] S. Aoki and A. Takemura (2008). The largest group of invariance for Markov bases and toric ideals.
Journal of Symbolic Computation, 43. 342–358.
[14] S. Aoki, A. Takemura and R. Yoshida (2008). Indispensable monomials of toric ideals and Markov bases.
Journal of Symbolic Computation, 43, 490–507.
[15] S. Aoki, T. Hibi, H. Ohsugi and A. Takemura (2008). Gr¨obner bases of nested configurations. Journal
of Algebra, 320, 2583–2593.
[16] T. Sei, S. Aoki and A. Takemura (2009). Perturbation method for determining the group of invariance
of hierarchical models. Advances in Applied Mathematics, 43, 375–389.
[17] S. Aoki and A. Takemura (2009). Some characterizations of affinely full-dimensional factorial designs.
Journal of Statistical Planning and Inference, 139, 3525–3532.
[18] T. Yanagawa, S. Aoki and T. Ohyama (2009). Diversity of human vein patterns and its application to
personal identification. Bulletin of Informatics and Cybernetics, 41, 1–9.
[19] D. Sarpono and S. Aoki (2009). Mixed geographically weighted regression-kriging model for small area
estimation. Japanese Journal of Applied Statistics, 38, 111–129.
[20] S. Aoki and A. Takemura (2009). Markov basis for design of experiments with three-level factors. In
Algebraic and Geometric Methods in Statistics, (dedicated to Professor Giovanni Pistone on the occasion
of his sixty-fifth birthday), edited by P. Gibilisco, E. Riccomagno, M. P. Rogantin and H. P. Wynn,
Cambridge University Press, 225–238.
[21] S. Aoki and A. Takemura (2010). Markov chain Monte Carlo tests for designed experiments. Journal of
Statistical Planning and Inference, 140, 817–830.
[22] S. Aoki, T. Hibi, H. Ohsugi and A. Takemura (2010). Markov basis and Gr¨obner basis of Segre-Veronese
configuration for testing independence in group-wise selections. Annals of the Institute of Statistical
Mathematics, 62, 299–321.
[23] H. Hara, S. Aoki and A. Takemura (2010). Minimal and minimal invariant Markov bases of decomposable models for contingency tables. Bernoulli, 16, 208–233.
[24] S. Aoki (2010). Some optimal criteria of model-robustness for two-level non-regular fractional factorial
designs. Annals of the Institute of Statistical Mathematics, 62, 699–716.
[25] 青木敏, 大津起夫, 竹村彰通, 沼田泰英 (2010). 大学入試センター試験科目選択データの統計解析. 応用統
計学, 39, 89–93.
[26] H. Hara, S. Aoki and A. Takemura (2012). Running Markov chain without Markov basis. In T. Hibi
(editor) Proceedings of the Second CREST-SBM International Conference, Harmony of Gr¨obner Bases
and the Modern Industrial Society. World Scientific, Singapore, 45–62.
[27] S. Aoki, T. Hibi and H. Ohsugi (2013). Markov chain Monte Carlo methods for the regular two-level
fractional factorial designs and cut ideals. Journal of Statistical Planning and Inference, 143, 1791–1806.
[28] S. Aoki and M. Miyakawa (2014). Statistical testing procedure for the interaction effects of several
controllable factors in two-valued input-output systems. Journal of Statistical Theory and Practice. 8,
546–557.
[29] S. Aoki (2014). Minimal Markov basis for tests of main effect models for 2p−1 fractional factorial designs
of resolution p. Communications in Statistics - Simulation and Computation. To appear.
著書
[30] 竹村彰通, 青木敏 (2006). 統計学におけるグレブナー基底. グレブナー基底の現在, 数学書房, 日比孝之 (編),
60–84.
[31] 青木敏, 竹村彰通 (2011). 4 章 マルコフ基底と実験計画法. グレブナー道場, 共立出版, JST CREST 日比
チーム (編), 204–270.
[32] S. Aoki, H. Hara and A. Takemura (2012). Markov Bases in Algebraic Statistics. Springer Series in
Statistics.
[33] S. Aoki and A. Takemura (2014). Chapter 4 Markov Bases and Designed Experiments. Gr¨obner Bases
– Statistics and Software Systems, T. Hibi (editor), Springer, 165–221. ([31] の英訳.)
論説, 解説
[34] 青木敏, 竹村彰通 (2007). 統計学とグレブナー基底, 計算代数統計の発端と展開. 数学, 論説, 59, 283–302.
[35] S. Aoki and A. Takemura (2009). Statistics and Gr¨obner basis – the origin and development of computational algebraic statistics. In Selected Papers on Probability and Statistics, American Mathematical
Society Translation, Series 2, 227, 125–145. ([34] の英訳.)
[36] 青木敏, 竹村彰通 (2009). 実験計画法とグレブナー基底. Bulletin of Japanese Society for Symbolic and
Algebraic Computation, 16, 15–22.
[37] S. Aoki and A. Takemura (2012). Design and analysis of fractional factorial experiments from the
viewpoint of computational algebraic statistics. Journal of Statistical Theory and Practice, 6, 147–161.

Elenco iscritti Coppa Rio 2016, Trieste, 7

スケジュール・工事概要

2016 年度助成事業募集 - 竹村和子フェミニズム基金