Technical Reports

  • arXiv 1610.09187 "Distribution of ratio of two Wishart matrices and evaluation of cumulative probability by holonomic gradient method" by Hiroki Hashiguchi, Nobuki Takayama and A. Takemura. October 2016.
  • arXiv 1609.01799 "Differential relations for the largest root distribution of complex non-central Wishart matrices" by Raimudas Vidunas and A. Takemura. September 2016.
  • arXiv 1604.07911 "Relation between the rate of convergence of strong law of large numbers and the rate of concentration of Bayesian prior in game-theoretic probability" by Ryosuke Sato, Kenshi Miyabe and A. Takemura. April 2016.
  • arXiv 1512.08159 "Chi-square mixture representations for the distribution of the scalar Schur complement in a noncentral Wishart matrix" by Constantin Siriteanu, Satoshi Kuriki, Donald Richards and A. Takemura. December 2015.
  • arXiv 1511.07091 "Exponential decay rate of partial autocorrelation coefficients of ARMA and short-memory processes" by A. Takemura. November 2015.
  • arXiv 1510.02269 "A-Hypergeometric Distributions and Newton Polytopes" by Nobuki Takayama, Satoshi Kuriki and A. Takemura. October 2015.
  • METR 15-24 "Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading" Constantin Siriteanu, Akimichi Takemura, Christoph Koutschan, Satoshi Kuriki, Donald St. P. Richards and Hyundong Shin. Technical Report METR 15-24, July 2015. (arXiv)
  • arXiv 1504.06398 "Erdos-Feller-Kolmogorov-Petrowsky law of the iterated logarithm for self-normalized martingales: a game-theoretic approach" by Takeyuki Sasai, Kenshi Miyabe and A. Takemura. April 2015.
  • METR 15-17 "Holonomic gradient method for distribution function of a weighted sum of noncentral chi-square random variables" by Tamio Koyama and A. Takemura. Technical Report METR 15-17, April 2015. (arXiv)
  • METR 14-31 "A power-law decay model with autocorrelation for posting data to social networking services" by Toshifumi Fujiyama, Chihiro Matsui and A. Takemura. Technical Report METR 14-31, November 2014. (arXiv)
  • METR 14-22 "A game-theoretic proof of Erdos-Feller-Kolmogorov-Petrowsky law of the iterated logarithm for fair-coin tossing " by Takeyuki Sasai, Kenshi Miyabe and A. Takemura. Technical Report METR 14-22, August 2014. (arXiv) [This manuscript is superseded by arXiv 1504.06398]
  • METR 14-17 "Conformal geometry of sequential test in multidimensional curved exponential family" by Masayuki Kumon, A. Takemura and Kei Takeuchi. Technical Report METR 14-17, June 2014. (arXiv)
  • METR 14-15 "Markov degree of configurations defined by fibers of a configuration" by Takayuki Koyama, Mitsunori Ogawa and A. Takemura. Technical Report METR 14-15, June 2014. (arXiv)
  • METR 14-13 "Properties of powers of functions satisfying second-order linear differential equations with applications to statistics" by Naoki Marumo, Toshinori Oaku and A. Takemura. Technical Report METR 14-13, May 2014. (arXiv)
  • METR 14-10 "Estimation of exponential-polynomial distribution by holonomic gradient descent" by Jumpei Hayakawa and A.Takemura. Technical Report METR 14-10, March 2014. (arXiv)
  • METR 14-08 "MIMO Zero-Forcing Detection Performance Evaluation by Holonomic Gradient Method" by Constantin Siriteanu, A.Takemura and Satoshi Kuriki. Technical Report METR 14-08, March 2014. (arXiv)
  • METR 14-07 "Derandomization in game-theoretic probability" by Kenshi Miyabe and Akimichi Takemura. Technical Report METR 14-07, February 2014. (arXiv)
  • arXiv 1401.0430 "Distribution of Schur Complement in Noncentral Wishart Matrix with Application to MIMO Zero-Forcing for Rician Fading" by Constantin Siriteanu, A.Takemura, Satoshi Kuriki, Donald Richards and Hyundong Shin. January 2014.
  • METR 13-33 "A framework for fitting functions with sparse data" by Reza Hosseini, A. Takemura and Kiros Berhane. Technical Report METR 13-33, December 2013.
  • METR 13-29 "Optimality of Thompson Sampling for Gaussian Bandits Depends on Priors" by Junya Honda and A.Takemura. Technical Report METR 13-29, November 2013. (arXiv)
  • METR 13-07 "Exact Performance Analysis of MIMO Zero-Forcing Detection for Transmit-Correlated Rician-Rayleigh Fading" by Constantin Siriteanu, Steven D. Blostein, A.Takemura, Hyundong Shin, Shahram Yousefi. Technical Report METR 13-07, May 2013. (arXiv)
  • METR 13-05 "Markov degree of the Birkhoff model" by Takashi Yamaguchi, Mitsunori Ogawa and A.Takemura. Technical Report METR 13-05, April 2013. (arXiv)
  • METR 13-01 "Calculation of orthant probabilities by the holonomic gradient method" by Tamio Koyama and A.Takemura. Technical Report METR 13-01, January 2013. (arXiv)
  • METR 12-14 "The law of the iterated logarithm in game-theoretic probability with quadratic and stronger hedges" by Kenshi Miyabe and A.Takemura. Technical Report METR 12-14, August 2012. (arXiv)
  • METR 12-09 "Markov degree of the three-state toric homogeneous Markov chain model" by David Haws, Abraham Martin del Campo, A.Takemura and Ruriko Yoshida Technical Report METR 12-09, May 2012. (arXiv)
  • METR 12-08 "Bayesian logistic betting strategy against probability forecasting" by Masayuki Kumon, Jing Li, A.Takemura and Kei Takeuchi. Technical Report METR 12-08, April 2012. (arXiv)
  • METR 12-03 "Finite-time regret bound of a bandit algorithm for the semi-bounded support model" by Junya Honda and A.Takemura. Technical Report METR 12-03, February 2012. (arXiv)
  • METR 12-01 "Holonomic gradient method for the distribution function of the largest root of a Wishart matrix" by Hiroki Hashiguchi, Yasuhide Numata, Nobuki Takayama and A.Takemura. Technical Report METR 12-01, January 2012. (arXiv)
  • METR 11-40 "Markov Bases for Typical Block Effect Models of Two-way Contingency Tables" by Mitsunori Ogawa and A.Takemura. Technical Report METR 11-40, December 2011. (arXiv)
  • METR 11-33 "On computation of the characteristic polynomials of the discriminantal arrangements and the arrangements generated by generic points" by Yasuhide Numata and A.Takemura. Technical Report METR 11-33, October 2011. (arXiv)
  • METR 11-32 "Properties and applications of Fisher distribution on the rotation group", by Tomonari Sei, Hiroki Shibata, A.Takemura, Katsuyoshi Ohara and Nobuki Takayama. Technical Report METR 11-32, October 2011. (arXiv)
  • METR 11-30 "Cones of elementary imsets and supermodular functions: a review and some new results", by Takuya Kashimura, Tomonari Sei, A.Takemura and Kentaro Tanaka. Technical Report METR 11-30, September 2011. (arXiv)
  • METR 11-28 "Running Markov chain without Markov basis", by Hisayuki Hara, Satoshi Aoki and A.Takemura. Technical Report METR 11-28, September 2011. (arXiv)
  • METR 11-17 "Properties of semi-elementary imsets as sums of elementary imsets", by Takuya Kashimura, Tomonari Sei, A.Takemura, Kentaro Tanaka. Technical Report METR 11-17, June 2011. (arXiv) [Published in Journal of Algebraic Statistics, Vol.2, 14-35 (2011).]
  • METR 11-16 "Stochastic Bandit Based on Empirical Moments", by Junya Honda and A.Takemura. Technical Report METR 11-16, May 2011. (arXiv)
  • METR 11-10 "Arrangements stable under the Coxeter groups", by Hedehiko Kamiya, A.Takemura and Hiroaki Terao. Technical Report METR 11-10, March 2011. (arXiv)
  • METR 11-09 "Convergence of random series and the rate of convergence of the strong law of large numbers in game-theoretic probability", by Kenshi Miyabe and A.Takemura. Technical Report METR 11-09, March 2011. (arXiv) [Published in Stochastic Processes and their Applications, Vol.122, 1-30 (2012).]
  • METR 11-08 "A lower bound for the Graver complexity of the incidence matrix of a complete bipartite graph", by Taisei Kudo and A.Takemura. Technical Report METR 11-08, February 2011. (arXiv)
  • METR 11-07 "Conformal geometry of statistical manifold with application to sequential estimation", by Masayuki Kumon, A.Takemura and Kei Takeuchi. Technical Report METR 11-07, February 2011. (arXiv) [Publised in Sequential Analysis, Vol.30, 308-337 (2011).]
  • METR 11-06 "Standard imsets for undirected and chain graphical models", by Takuya Kashimura and A.Takemura. Technical Report METR 11-06, February 2011. (arXiv)
  • METR 11-05 "Graver basis for an undirected graph and its application to testing the beta model of random graphs", by Mitsunori Ogawa, Hisayuki Hara and A.Takemura. Technical Report METR 11-05, February 2011. (arXiv)
  • METR 10-26 "On intersection lattices of hyperplane arrangements generated by generic points", by Hiroshi Koizumi, Yasuhide Numata and A.Takemura. Technical Report METR 10-26, September 2010. (arXiv)
  • METR 10-21 "Approximations and asymptotics of upper hedging prices in multinomial models", by Ryuichi Nakajima, Masayuki Kumon, A.Takemura and Kei Takeuchi. Technical Report METR 10-21, July 2010. (arXiv) [Published in Japan Journal of Industrial and Applied Mathematics, Vol.25, 1-21 (2012).]
  • METR 10-15 "Holonomic Gradient Descent and its Application to Fisher-Bingham Integral", by Tomonari Sei, Nobuki Takayama, A.Takemura, Hiromasa Nakayama, Kenta Nishiyama, Masayuki Noro and Katsuyoshi Ohara. Technical Report METR 10-15, May 2010. (arXiv) [Published Advances in Applied Mathematics, Vol.47, 639-658 (2011).]
  • METR 10-13 "A Markov basis for two-state toric homogeneous Markov chain model without initial parameters", by Hisayuki Hara and A.Takemura. Technical Report METR 10-13, May 2010. (arXiv) [Published in Journal of the Japan Statistical Society, Vol.41, 33-49 (2011).]
  • METR 10-10 "Markov chain Monte Carlo test of toric homogeneous Markov chains", by A.Takemura and Hisayuki Hara. Technical Report METR 10-10, April 2010. (arXiv) [Published in Statistical Methodology, Vol.9, 392-406 (2012).]
  • METR 10-08 "Design and analysis of fractional factorial experiments from the viewpoint of computational algebraic statistics", by Satoshi Aoki and A.Takemura. Technical Report METR 10-08, April 2010. (arXiv) [Published in Journal of Statistical Theory and Practice, Vol.6, 147-161 (2012).]
  • METR 10-07 "Application of arrangement theory to unfolding models", by Hidehiko Kamiya, A.Takemura and Norihide Tokushige. Technical Report METR 10-07, March 2010. (arXiv) [Published in Arrangements of Hyperplanes - Sapporo 2009, (Hiroaki Terao and Sergey Yuzvinsky, eds.), Advanced Studies in Pure Mathematics, Vol.62, Mathematical Society of Japan, pp.399-415. ]
  • METR 10-05 "Ranking patterns of unfolding models of codimension one", by Hidehiko Kamiya, A.Takemura and Hiroaki Terao. Technical Report METR 10-05, February 2010. (arXiv) [Published in Advances in Applied Mathematics, Vol.47, 379-400 (2011).]
  • METR 10-04 "Separation of integer points by a hyperplane under some weak notions of discrete convexity" by Takuya Kashimura, Yasuhide Numata and A.Takemura. Technical Report METR 10-04, February 2010. (arXiv)
  • METR 10-03 "Sequential optimizing investing strategy with neural networks", by Ryo Adachi and A.Takemura. Technical Report METR 10-03, February 2010. (arXiv) [Published in Expert Systems With Applications, Vol.38, 12991-12998 (2011).]
  • METR 09-51 "Sequential optimizing strategy in multi-dimensional bounded forecasting games", by Masayuki Kumon, A.Takemura and Kei Takeuchi. Technical Report METR 09-51, November 2009. (arXiv) [Published in Stochastic Processes and their Applications, Vol.121, 155-183 (2011).]
  • METR 09-44 "Hierarchical subspace models for contingency tables", by Hisayuki Hara, Tomonari Sei and A.Takemura. Technical Report METR 09-44, September 2009. (arXiv) [Published in Journal of Multivariate Analysis, Vol.103, 19-34 (2012).]
  • METR 09-35 "Connecting tables with zero-one entries by a subset of a Markov basis", by Hisayuki Hara and A.Takemura. Technical Report METR 09-35, August 2009. (arXiv) [Published in Algebraic Methods in Statistics and Probability II (M.A.G.Viana and H.P.Wynn, eds.), Contemporary Mathematics, Vol.516, Amer. Math. Soc., Providence, RI, pp.199-213 (2010).]
  • METR 09-31 "Admissible estimator of the eigenvalues of variance-covariance matrix for multivariate normal distributions", by Yo Sheena and A.Takemura. Technical Report METR 09-31, August 2009. (arXiv) [A shorter version was published in Journal of Multivariate Analysis, Vol.102, 801-815 (2011).]
  • METR 09-27 "New procedures for testing whether stock price processes are martingales", by Kei Takeuchi, A.Takemura and Masayuki Kumon. Technical Report METR 09-27, July 2009. (arXiv) [Published in Computational Economics, Vol.37, No.1, 67-88 (2011) after revision.]
  • METR 09-19 "An asymptotically optimal policy for finite support models in the multiarmed bandit problem", by Junya Honda and A.Takemura. Technical Report METR 09-19, May 2009. (arXiv)
  • METR 09-17 "Levy's zero-one law in game-theoretic probability", by Glenn Shafer, Vladimir Vovk and A.Takemura. Technical Report METR 09-17, May 2009. (arXiv)
  • METR 08-44 "Some characterizations of affinely full-dimensional factorial designs", by Satoshi Aoki and A.Takemura. Technical Report METR 08-44, December 2008. (arXiv) [Published in Journal of Statistical Planning and Inference, Vol.139, 3525-3532 (2009).]
  • METR 08-39 "On connectivity of fibers with positive marginals in multiple logistic regression", by Hisayuki Hara, A.Takemura and Ruriko Yoshida. Technical Report METR 08-39, October 2008. (arXiv) [Published in Journal of Multivariate Analysis, Vol.101, 909-925 (2010).]
  • METR 08-33 "Perturbation method for determining group of invariance of hierarchical models", by Tomonari Sei, Satoshi Aoki and A.Takemura. Technical Report METR 08-33, August 2008. (arXiv) [Published Advances in Applied Mathematics Vol.32, 375-389 (2009) after revision.]
  • METR 08-18 "The game-theoretic martingales behind the zero-one laws", by A.Takemura, Vladimir Vovk and Glenn Shafer. Technical Report METR 08-18, March 2008. (arXiv) [Published in Annals of the Institute of Statistical Mathematics with title changed to "The generality of the zero-one laws", Vol.63, 873-885 (2011).]
  • METR 08-15 "Periodicity of non-central integral arrangements modulo positive integers", by Hidehiko Kamiya, A.Takemura and Hiroaki Terao. Technical Report METR 08-15, March 2008. (arXiv)
  • METR 08-08 "Multistep Bayesian strategy in coin-tossing games and its application to asset trading games in continuous time", by Kei Takeuchi, Masayuki Kumon and A.Takemura. Technical Report METR 08-08, February 2008. (arXiv) [Published in Stochastic Analysis and Applications 28, 842-861 (2010)]
  • METR 08-06 "A Markov basis for conditional test of common diagonal effect in quasi-independence model for two-way contingency tables", by Hisayuki Hara, A.Takemura and Ruriko Yoshida. Technical Report METR 08-06, February 2008. (arXiv) [Published in Computational Statistics and Data Analysis Vol.53, 1006-1014 (2009) after revision.]
  • METR 08-05 "A localization approach to improve iterative proportional scaling in Gaussian graphical models", by Hisayuki Hara and A.Takemura. Technical Report METR 08-05, February 2008 (arXiv) [Published in Communications in Statistics - Theory and Methods, Vol.39, No.8, 1643-1654 (2010) after revision.]
  • METR 08-01 "Groebner bases of nested configurations", by Satoshi Aoki, Takayuki Hibi, Hidefumi Ohsugi and A.Takemura, Technical Report METR 08-01, January 2008. (arXiv) [Published in Journal of Algebra, Vol.320, 2583-2593 (2008). ]
  • METR 07-58 "The tube method for the moment index in projection pursuit", by Satoshi Kuriki and A.Takemura, Technical Report METR 07-58, November 2007. (arXiv) [Published in Journal of Statistical Planning and Inference, Vol.138, No.9, 2749-2762 (2008).]
  • METR 07-54 "Markov basis for design of experiments with three-level factors", by Satoshi Aoki and A.Takemura, Technical Report METR 07-54, September 2007. (arXiv(now ver.2)) [Pulished in Algebraic and Geometric Methods in Statistics dedicated to Professor Giovanni Pistone, Cambridge University Press (P. Gibilisco, E. Riccomagno, M.P. Rogantin and H.P. Wynn, eds.), pp.225-238 (2009) after revision.]
  • METR 07-49 "Markov bases for two-way subtable sum problems", by Hisayuki Hara, A.Takemura and Ruriko Yoshida, Technical Report METR 07-49, August 2007. (arXiv) [Published in Journal of Pure and Applied Algebra, Vol.213, 1507-1521 (2009).]
  • METR 07-46 "A new formulation of asset trading games in continuous time with essential forcing of variation exponent", by Kei Takeuchi, Masayuki Kumon and A.Takemura, Technical Report METR 07-46, August 2007. (arXiv) [Published in Bernoulli, Vol.15, No.4, 1243-1258 (2009).]
  • arXiv 0707.1381 "The characteristic quasi-polynomials of the arrangements of root systems and mid-hyperplane arrangements", by Hidehiko Kamiya, A.Takemura and Hiroaki Terao. (Note: the earlier version Technical Report METR 07-42, July 2007, was withdrawn. Please refer to the new version on arXiv). [Pulished in Arrangements, Local Systems and Singularities, Lecture Notes of a 2007 CIMPA Summer School held at Galatasaray University (Istanbul), Edited by F. ElZein, A. Suciu, M.Tosun, A.M. Uludag, S. Yuzvinsky. Birkhauser, Progress in Mathematics, Vol.283, pp.177-190.]
  • METR 07-23 "Inference on Eigenvalues of Wishart Distribution Using Asymptotics with respect to the Dispersion of Population Eigenvalues", by Yo Sheena and A.Takemura, Technical Report METR 07-23, April 2007. (arXiv) [Published in Sankhya, Vol.69, No.4, 717-733 (2007) after revision.]
  • METR 07-21 "Markov Basis and Groebner Basis of Segre-Veronese Configuration for Testing Independence in Group-wise Selections", by Satoshi Aoki, Takayuki Hibi, Hidefumi Ohsugi and A.Takemura, Technical Report METR 07-21, April 2007. (arXiv) [Published in Annals of the Institute of Statistical Mathematics, Vol.62, 299-321 (2010).]
  • METR 07-19 "Periodicity of hyperplane arrangements with integral coefficients modulo positive integers", by Hidehiko Kamiya, A.Takemura and Hiroaki Terao, Technical Report METR 07-19, April 2007. (A newer version at arXiv) [Published in Journal of Algebraic Combinatorics, Vol.27, 317-330 (2008).]
  • METR 07-17 "Implications of contrarian and one-sided strategies for the fair-coin game", by Yasunori Horikoshi and A.Takemural, Technical Report METR 07-17, March 2007. (arXiv) [Published in Stochastic Processes and their Applications, Vol.18, 2125-2142 (2008).]
  • METR 07-16 "Generalized zig-zag products of regular digraphs and bounds on their spectral expansions", by Shunichi Nomura and A.Takemura, Technical Report METR 07-16, March 2007. (arXiv)
  • METR 06-66 "Fibers of sample size two of hierarchical models and Markov bases of decomposable models for contingency tables", by Hisayuki Hara, Satoshi Aoki and A.Takemura, Technical Report METR 06-66, December 2006. (A newer version archived at arXiv.) [Publised in Bernoulli, Vol.16, No.1, 208-233 (2010), with title changed to "Minimal and minimal invariant Markov bases of decomposable models for contingency tables".]
  • METR 06-56 "Markov chain Monte Carlo tests for designed experiments", by Satoshi Aoki and A.Takemura, Technical Report METR 06-56, November 2006. (arXiv) [Published in Journal of Statistical Planning and Inference Vol.140, 817-830 (2010).]
  • METR 06-49 "Asymptotic Distribution of Wishart Matrix for Block-wise Dispersion of Population Eigenvalues", by Yo Sheena and A.Takemura, Technical Report METR 06-49, September 2006. (arXiv) [A shorter version was publised in Journal of Multivariate Analysis, Vol.99, 751-775 (2008).]
  • math.ST/0608570 "Integral representations of one dimensional projections for multivariate stable densities", by Muneya Matsui and A.Takemura, August 2006. [Published in Journal of Multivariate Analysis, Vol.100, No.3, 334-344 (2009).]
  • METR 06-47 "Skewness and kurtosis as locally best invariant tests of normality", by A.Takemura, Muneya Matsui and Satoshi Kuriki, Technical Report METR 06-47, August 2006. (arXiv)
  • METR 06-46 "Computing holes in semi-groups", by Raymond Hemmecke, A.Takemura and Ruriko Yoshida, Technical Report METR 06-46, July 2006. (arXiv) [Puslished in Contributions to Discrete Mathematics, Vol.4, No.1, 81-91 (2009), with the title changed to "Computing holes in semi-groups and its applications to transportation problems".]
  • METR 06-41 "Boundary cliques, clique trees and perfect sequences of maximal cliques of a chordal graph", by Hisayuki Hara and A.Takemura, Technical Report METR 06-41, July 2006. (arXiv)
  • METR 06-38 "Hierarchical orbital decompositions and extended decomposable distributions", by Hidehiko Kamiya and A.Takemura, Technical Report METR 06-38, June 2006. (arXiv) [Published in Journal of Multivariate Analysis, Vol.99, 339-357 (2008) after revision.]
  • METR 06-29 "Saturation points on faces of a rational polyhedral cone", by A.Takemura and Ruriko Yoshida, Technical Report METR 06-29, May 2006. (arXiv) [Published in Integer Points in Polyhedra - Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics, Contemporary Mathematics, No.452, 147-161 (2008) after revision.]
  • METR 06-18 "Conditions for swappability of records in a microdata set when some marginals are fixed", by A.Takemura and Hisayuki Hara. Technical Report METR 06-18, March 2006. (arXiv) [Published in Computational Statistics, Vol.22, 173-185 (2007) after revision.]
  • METR 06-17 "Evaluation of per-record identification risk and swappability of records in a microdata set via decomposable models", by A.Takemura and Yushi Endo. Technical Report METR 06-17, March 2006. (arXiv)
  • METR 06-16 "Iterative proportional scaling via decomposable submodels for contingency tables", by Yushi Endo and A.Takemura. Technical Report METR 06-16, March 2006. (arXiv (ver.2)) [Published in Computational Statistics and Data Analysis, Vol.53, 966-978 (2009) after revision.]
  • METR 06-15 "Fundamental holes and saturation points of a commutative semigroup and their applications to contingency tables", by A.Takemura and Ruriko Yoshida. Technical Report METR 06-15, March 2006. (arXiv(now ver.3)) [Published in Descrete Optimization, Vol.5, 36-52 (2008), with the title changed to "A generalization of the integer linear infeasibility problem".]
  • METR 06-14 "Game-theoretic versions of strong law of large numbers for unbounded variables", by Masayuki Kumon, A.Takemura and Kei Takeuchi. Technical Report METR 06-14, March 2006. (arXiv) [Published in Stochastics, Vol.79, 449-468 (2007) after revision.]
  • METR 05-34 "Indispensable monomials of toric ideals and Markov bases", by Satoshi Aoki, A.Takemura and Ruriko Yoshida. Technical Report METR 05-34, November 2005. (arXiv (ver.2)) [Published in Journal of Symbolic Computation, Vol.43, 490-507 (2008) after revision.]
  • METR 05-32 "Capital process and optimality properties of Bayesian Skeptic in the fair and biased coin games", by Masayuki Kumon, A.Takemura and Kei Takeuchi. Technical Report METR 05-32, October 2005. (arXiv) [Published in Stochastic Analysis and Applications, Vol.26, No.6, 1161-1180 with the title changed to "Capital process and optimality properties of a Bayesian Skeptic in coin-tossing games."]
  • CIRJE-F-384 "Goodness-of-Fit Tests for Symmetric Stable Distributions - Empirical Characteristic Function Approach", by Muneya Matsui and A.Takemura, Discussion Paper CIRJE-F-384, October 2005. (arXiv) [Published in TEST, A Journal of the Spanish Statistical Society, Vol.17, No.3, 546-566 (2008) after revision.]
  • METR 05-25 "Game theoretic derivation of discrete distributions and discrete pricing formulas", by A.Takemura and Taiji Suzuki. Technical Report METR 05-22, September 2005. (arXiv) [Published in Journal of the Japan Statistical Society, Vol.37, 87-104 (2007) after revision.]
  • METR 05-22 "Bayes Admissible Estimation of the Means in Poisson Decomposable Graphical Models", by Hisayuki Hara and A.Takemura. Technical Report METR 05-22, August 2005. [Published in Journal of Statistical Planning and Inference, Vol.139, 1297-1319 (2009) after revision.]
  • METR 05-20 "On a simple strategy weakly forcing the strong law of large numbers in the bounded forecasting game", by Masayuki Kumon and A.Takemura. Technical Report METR 05-20, August 2005. (Also archived at arXiv with major revision (now version 3).) [Published in Annals of the Institute of Statistical Mathematics, Vol.60, No.4, 801-812 (2008).]
  • METR 05-14 "The largest group of invariance for Markov bases and toric ideals", by Satoshi Aoki and A.Takemura. Technical Report METR 05-14, June 2005. [Published in Journal of Symbolic Computation, Vol.43, 342-358 (2008) after revision.]
  • METR 05-13 "Admissibility and minimaxity of generalized Bayes estimators for spherically symmetric family", by Yuzo Maruyama and A.Takemura. Technical Report METR 05-13, June 2005. (a newer version archived at arXiv) [Published in Journal of Multivariate Analysis, Vol.99, 50-73 (2008).]
  • METR 05-10 "Euler characteristic heuristic for approximating the distribution of the largest eigenvalue of an orthogonally invariant random matrix", by Satoshi Kuriki and A.Takemura. Technical Report METR 05-10, May 2005. [Published in Journal of Statistical Planning and Inference, Vol.138, 3357-3378 (2008) after revision.]
  • METR 05-08 "Improving on the Maximum Likelihood Estimators of the means in Poisson Decomposable Graphical Models", by Hisayuki Hara and A.Takemura. Technical Report METR 05-08, April 2005. [Published in Journal of Multivariate Analysis, Vol.98, 410-434 (2007) after substantial revision.]
  • WP10 "Defensive forecasting for linear protocols", by Vladimir Vovk, Ilia Nouretdinov, A.Takemura, and Glenn Shafer. The Game-Theoretic Probability and Finance project, Working Paper #10, February 2005. (arXiv) [A shorter version was published in Proceedings of the 16th international conference on algorithmic learning theory. (S.Jain, H.U.Simon and E.Tomita editors), LNAI 3734, 459-473.]
  • METR 04-47 "Simultaneous Estimation of the Means in Some Poisson Log Linear Models", by Hisayuki Hara and A.Takemura. Technical Report METR 04-47, December 2004. [Puslished in Journal of the Japan Statistical Society, Vol.36 (No.1) 17-36 (2006) after substantial revision.]
  • WP8 "Defensive forecasting", by Vladimir Vovk, A.Takemura, and Glenn Shafer. The Game-Theoretic Probability and Finance project, Working Paper #8, September 2004. (arXiv) [A shorter version was published in Proceedings of the tenth international workshop on artificial intelligence and statistics. (R.G.Cowell and Z.Ghahramani editors), 365-372.]
  • CIRJE-F-292 "Some improvements in numerical evaluation of symmetric stable density and its derivatives" by Muneya Matsui and A.Takemura, Discussion Paper CIRJE-F-292, August 2004. (arXiv) [Published in Communications in Statistics, Theory and Methods, Vol.35, 149-172 (2006) after revision.]
  • METR 04-19 "Ranking patterns of the unfolding model and arrangements" by Hidehiko Kamiya, Peter Orlik, A.Takemura, and Hiroaki Terao, Technical Report METR 04-19, April 2004. (arXiv) [Published in Annals of Combinatorics, Vol.10, 219-235 (2006) after revision and with title changed to "Arrangements and ranking patterns".]
  • METR 04-15 "Distance reducing Markov bases for sampling from discrete sample space" by A.Takemura and Satoshi Aoki, Technical Report METR 04-15, March 2004. [Pulished in Bernoulli., Vol.11, 793-813 (2005) after revision.]
  • METR 03-38 "The list of indispensable moves of the unique minimal Markov basis for 3x4xK and 4x4x4 contingency tables with fixed two-dimensional marginals" by Satoshi Aoki and A.Takemura, Technical Report METR 03-38, November 2003
  • METR 03-35 "Strong consistency of MLE for finite mixtures of location-scale distributions when the scale parameters are exponentially small" by Kentaro Tanaka and A.Takemura, Technical Report METR 03-35, October 2003. (A newer version archived at arXiv. A shorter version was published in Bernoulli, Vol.12, 1003-1017 (2006).)
  • METR 03-26 "Validity of the expected Euler characteristic heuristic" by Jonathan Taylor, A.Takemura and Robert Adler, Technical Report METR 03-26, August 2003 [Published in Annals of Probability Vol.33, 1362-1396 (2005) after revision.]
  • METR 03-25 "Invariant minimal Markov basis for sampling contingency tables with fixed marginals" by Satoshi Aoki and A.Takemura, Technical Report METR 03-25, July 2003 [Published in Annals of the Institute of Statistical Mathematics, Vol.60, 229-256 (2008) with title changed to "Minimal invariant Markov basis for sampling contingency tables with fixed marginals".]
  • METR 03-22 "An asymptotic expansion of Wishart distribution when the population eigenvalues are infinitely dispersed" by Yo Sheena and A.Takemura, Technical Report METR 03-22, June 2003. [A shorter version has appeared in Statistical Methodology Vol.4, 158-184 (2007).]
  • CIRJE-F-226 "Empirical characteristic function approach to goodness-of-fit tests for the Cauchy distribution with parameters estimated by MLE or EISE" by Muneya Matsui and A.Takemura, Discussion Paper CIRJE-F-226, June 2003 [A shorter version was published in Annals of the Institute of Statistical Mathematics Vol.57, 183-199 (2005).]
  • METR 03-20 "Strong consistency of MLE for finite uniform mixtures when the scale parameters are exponentially small" by Kentaro Tanaka and A.Takemura, Technical Report METR 03-20, May 2003 [Published in Annals of the Institute of Statistical Mathematics Vol.57, 1-19 (2005) after revision. Revised version archived at arXiv]
  • METR 03-16 "Parallel matching for ranking all teams in a tournament", by K.Kobayashi, H.Kawasaki and A.Takemura, Technical Report METR 03-16, May 2003 [A shorter version is published in Advances in Applied Probability Vol.38, 804-826 (2006).]
  • METR 02-13 "Distribution of eigenvalues and eigenvectors of Wishart matrix when the population eigenvalues are infinitely dispersed", by A. Takemura and Yo Sheena, Technical Report METR 02-13, December 2002 [Pulished in Journal of Multivariate Analysis Vol.94, 271-299 (2005) with title changed to "Distribution of eigenvalues and eigenvectors of Wishart matrix when the population eigenvalues are infinitely dispersed and its application to minimax estimation of covariance matrix".]
  • METR 02-10 "Characterization of Rankings Generated by Linear Discriminant Analysis", by Hidehiko Kamiya and A. Takemura, Technical Report METR 02-10, August 2002 [Published in Journal of Multivariate Analysis Vol.92, 343-358 (2005).]
  • METR 02-08 "Markov chain Monte Carlo exact tests for incomplete two-way contingency tables", by Satoshi Aoki and A. Takemura, Technical Report METR 02-08, June 2002 [Published in Journal of Statistical Computation and Simulation. Vol. 75, 787-812 (2005) after revision.]
  • METR 02-04 "Some characterizations of minimal Markov basis for sampling from discrete conditional distributions", by A.Takemura and Satoshi Aoki, Technical Report METR 02-04, April 2002 [Published in Annals of the Institute of Statistical Mathematics, Vol.56, 1-17 (2004) after revision.]
  • METR 02-02 "Minimal basis for connected Markov chain over 3x3xK contingency tables with fixed two-dimensional marginals" by Satoshi Aoki and A.Takemura, Technical Report METR 02-02, February 2002 [Published in Australian and New Zealand Journal of Statistics, Vol.45, 229-249 (2003) after revision.]
  • METR 01-10 "Application of tube formula to distributional problems in multiway layouts" by Satoshi Kuriki and A.Takemura, Technical Report METR 01-10, October 2001 [Published in Applied Stochastic Models in Business and Industry, Vol.18, 245-257 (2002) after revision.]
  • METR 01-09 "Evaluation of per-record identification risk by additive modeling of interaction for contingency table cell probabilities" by A.Takemura Technical Report METR 01-09, October 2001 [Published in IASS Proceedings - SEOUL 2001, 220-235. International Association of Survey Statisticians, The International Statistical Institute. (2002).]
  • CIRJE-F-89 "Maximum covariance difference test for equality of two covariance matrices" by A.Takemura and S.Kuriki, Discussion Paper CIRJE-F-89, September 2000 [Published in Algebraic Methods in Statistics and Probability. pp.283-302, M. Viana and D. Richards eds., Contemporary Mathematics Vol. 287, American Mathematical Society. (2001).]
  • CIRJE-F-77 "Tail probabilities of the limiting null distributions of the Anderson-Stephens statistics" by S.Kuriki and A.Takemura, Discussion Paper CIRJE-F-77, June 2000 [Published in Journal of Multivariate Analysis, Vol.89, 261-291 (2004) after revision.]
  • CIRJE-F-59 "Tail probability via tube formula and Euler characteristic method when critical radius is zero" by A.Takemura and S.Kuriki, Discussion Paper CIRJE-F-59, September 1999 [Published in Bernoulli, Vol.9, No.3 535-558 (2003), after extensive revision and with title changed to "Tail probability via the tube formula when the critical radius is zero".]
  • CIRJE-F-54 "Maximum of Gaussian field on piecewise smooth domain: Equivalence of tube method and Euler characteristic method" by A.Takemura and S.Kuriki, Discussion Paper CIRJE-F-54, July 1999 [Published in Annals of Applied Probability, Vol.12, 768-796 (2002) after revision with title changed to ``On the equivalence of the tube and Euler characteristic methods for the distribution of the maximum of Gaussian fields over piecewise smooth domains''.]
  • ITME No.11 "Local recoding by maximum weight matching for disclosure control of microdata sets" by A.Takemura, ITME Discussion Paper No.11, February 1999 [Published in Journal of Official Statistics, Vol.18, 275-289 (2002) with title changed to "Local recoding and record swapping by maximum weight matching for disclosure control of microdata sets".]
  • ITME No.6 "Calculating minimum k-unsafe and maximum k-safe sets of variables for disclosure risk assessment of individual records in a microdata set" by A.Takemura, ITME Discussion Paper No.6, January 1999 [Published in Journal of the Japan Statistical Society, Vol.32, 107-117 (2002) with title changed to "Minimum unsafe and maximum safe sets of variables for disclosure risk assessment of individual records in a mocridata set".]
  • ITME No.3 "Distribution of the maximum of Gaussian random field : tube method and Euler characteristic method" by S.Kuriki and A.Takemura (in Japanese), ITME Discussion Paper No.3, November 1998 [Published in Proceedings of the Institute of Statistical Mathematics. Vol. 47, No.1, 201-221 (1999).]
  • CIRJE-F-15 "Rankings generated by spherical discriminant analysis" by H.Kamiya and A.Takemura Discussion Paper CIRJE-F-15, August 1998 [ Published in Journal of the Japan Statistical Society Vol.30, 43-51 (2000).]
  • CIRJE-F-4 "Tail probabilities of the maxima of multilinear forms and their applications" by S.Kuriki and A.Takemura, Discussion Paper CIRJE-F-4, June 1998 [Pulished in Annals of Statistics Vol.29, 328-371 (2001) after extensive revision]
  • DP 98-F-7 "On the relation between logarithmic series model and other superpopulation models useful for microdata disclosure risk assessment" by N.Hoshino and A.Takemura, Discussion Paper 98-F-7 [Published in Journal of the Japan Statistical Society, Vol.28, 125-134 (1998) after revision.]
  • DP 98-F-5 "Shrinkage to smooth non-convex cone: principal component analysis as Stein estimation" by A.Takemura and S.Kuriki, Discussion Paper 98-F-5 [Published in Commun. Statist. - Theory Meth. (in honor of N. Sugiura), Vol.28, 651-669 (1999) after revision.]
  • DP 97-F-29 "Some superpopulation models for estimating the number of population uniques" by A.Takemura, Discussion Paper 97-F-29 [A shorter vesion was published in Statistical data protection - Proceedings of the conference, Lisbon, 25 to 27 March 1998 - 1999 edition. pp.45-58 (1999), Office for Official Publications of the European Communities, Luxembourg.]
  • DP 97-F-22 "James-Stein type estimator by shrinkage to closed convex set with smooth boundary" by Satoshi Kuriki and A.Takemura, Discussion Paper 97-F-22 [Published in Journal of Multivariate Analysis. pp.79-111, Vol.75 (2000) after revision.]
  • DP 97-F-7 "On Reduction of Finite Sample Variance by Extended Latin Hypercube Sampling" by Nobuaki Hoshino and A.Takemura, Discussion Paper 97-F-7 [Published in Bernoulli pp.1035-1050, Vol.6 (2000) after revision.]
  • DP 96-F-23 "Global cross section and its associated decomposable distributions" by H.Kamiya and A.Takemura, Discussion Paper 96-F-23 [Relevant results of 96-F23 and 95-F-15 appeared in the special issue (Ogawa volume) of Journal of Statistical Planning and Inference Vol.138, 3429-3447 (2008). Preprint version archived at arXiv.]
  • DP 96-F-15 "Theory of cross sectionally contoured distributions and its applications" by A.Takemura and S.Kuriki, Discussion Paper 96-F-15
  • DP 95-F-28 "Weights of $\bar\chi^2$ distribution for smooth or piecewise smooth cone alternatives" by A.Takemura and S.Kuriki, Discussion Paper 95-F-28 [Published in Annals of Statistics, pp.2368-2387, Vol.25 (1997) except for Section 3. Section 3 is published as a separate paper in Annals of the Institute of Statistical Mathematics Vol.52, pp.1-14. (2000).]
  • DP 95-F-24 "Asymptotic Expansion of Null Distribution of Likelihood Ratio Statistic in Multiparameter Exponential Family to an Arbitrary Order" by S.Kuriki and A.Takemura, Discussion Paper 95-F-24 [A shorter version was published in Probability Theory and Mathematical Statistics, Proceedings of the Seventh Japan-Russia Symposium. S.Watanabe, M.Fukushima, Yu.V. Prohorov, A.N.Shiryaev editors. World Scientific. pp.244-255.]
  • DP 95-F-23 "On rankings generated by pairwise linear discriminant analysis of $m$ populations" by H. Kamiya and A. Takemura, Discussion Paper 95-F-23 [Published in Journal of Multivariate Analysis pp.1-28, Vol.61 (1997) in a revised form.]
  • DP 95-F-16 "A proof of independent Bartlett correctability of nested likelihood ratio tests" by A.Takemura and S.Kuriki, Discussion Paper 95-F-16 [Published in Ann. Inst. Statist. Math. pp.603-620 (1996) in a revised form.]

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