Publication List (Satoshi Kuriki)

Technical Reports

• Expected Euler characteristic method for the largest eigenvalue: (Skew-)orthogonal polynomial approach, arXiv:2308.08228 [math.PR] (Satoshi Kuriki) [arXiv]
  

• Robust topological inference in the presence of outliers, arXiv:2206.01795 [math.ST] (Siddharth Vishwanath, Bharath K. Sriperumbudur, Kenji Fukumizu, Satoshi Kuriki) [arXiv]
  

• The tail probability of the maximum of a bivariate Gaussian process, Extreme Value Theory and Applications (16), Cooperative Research Report, The Institute of Statistical Mathematics, 417, 80-89 (March 2019). (Satoshi Kuriki) [pdf]
  

• Distributions of the largest singular values of skew-symmetric random matrices and their applications to paired comparisons, arXiv:1003.2711 [math.ST] (Satoshi Kuriki) [arXiv]
  

Refereed Journal Papers (in English)

• Integrated empirical measures and generalizations of classical goodness-of-fit statistics, Electoric Journal of Statistics, Vol. 19, No. 1, 2276-2319 (2025). (Hsien-Kuei Hwang, Satoshi Kuriki) [euclid, arXiv]
  

• EM estimation of the B-spline copula with penalized log-likelihood function, Statistical Papers, Volume 66, article number 30, January 2025 (Xiaoling Dou, Satoshi Kuriki, Gwo Dong Lin & Donald Richards) [Springer, arXiv]
  

• Random eigenvalues of graphenes and the triangulation of plane, Journal of Physics A: Mathematical and Theoretical, Volume 58, Number 2, 025212, December 2024 (Artur Bille, Victor Buchstaber, Simon Coste, Satoshi Kuriki, Evgeny Spodarev) [IOP, arXiv]
  

• On the Limits of Topological Data Analysis for Statistical Inference (old title:Statistical invariance of Betti numbers in the thermodynamic regime), Foundations of Data Science, August 2024 (Siddharth Vishwanath, Kenji Fukumizu, Satoshi Kuriki, Bharath Sriperumbudur) [AIMS, arXiv]
  

• Asymptotic expansion of the expected Minkowski functional for isotropic central limit random fields (old title: Perturbation of the expected Minkowski functional for weakly non-Gaussian isotropic fields on a bounded domain), Advances in Applied Probability, Volume 55, Issue 4, 1390-1414 (December 2023). (Satoshi Kuriki, Takahiko Matsubara) [Cambridge, arXiv]
  

• The volume-of-tube method for Gaussian random fields with inhomogeneous variance, Journal of Multivariate Analysis, 188, 104819 (March 2022). (Satoshi Kuriki, Akimichi Takemura, Jonathan E. Taylor) [ScienceDirect, arXiv]
  

• Minkowski functionals and the nonlinear perturbation theory in the large-scale structure: second-order effects, Physical Review D, 105, 023527 (January 2022). (Takahiko Matsubara, Chiaki Hikage, Satoshi Kuriki) [APS, arXiv]
  

• Weakly non-Gaussian formula for the Minkowski functionals in general dimensions, Physical Review D, 104, 103522 (November 2021). (Takahiko Matsubara, Satoshi Kuriki) [APS, arXiv]
  

• Existence and uniqueness of the Kronecker covariance MLE, The Annals of Statistics, Vol. 49, No. 5, 2721-2754 (October 2021). (Mathias Drton, Satoshi Kuriki, Peter Hoff) [euclid, arXiv]
  

• A modification of MaxT procedure using spurious correlations, Journal of Statistical Planning and Inference, Volume 214, 128-138 (September 2021). (Yoshiyuki Ninomiya, Satoshi Kuriki, Toshihiko Shiroishi, Toyoyuki Takada) [ScienceDirect, arXiv]
  

• Dependence properties of B-spline copulas, Sankhya A, Volume 83-A, Part 1, 283-311 (2021). (Xiaoling Dou, Satoshi Kuriki, Gwo Dong Lin, Donald Richards) [Springer, arXiv]
  

• Computation of the expected Euler characteristic for the largest eigenvalue of a real Wishart matrix, Journal of Multivariate Analysis, Volume 179, 104642 (September 2020). (Nobuki Takayama, Lin Jiu, Satoshi Kuriki, Yi Zhang) [ScienceDirect, arXiv]
  

• Optimal experimental design that minimizes the width of simultaneous confidence bands, Electronic Journal of Statistics, Vol. 13, 1099-1134 (2019). (Satoshi Kuriki, Henry P. Wynn) [euclid, arXiv]
  

• The bivariate lack-of-memory distributions, Sankhya A, Volume 81, 273-297 (2019). (Gwo Dong Lin, Xiaoling Dou, Satoshi Kuriki) [Springer, arXiv]
  

• A-Hypergeometric distributions and Newton polytopes, Advances in Applied Mathematics, Volume 99, 109-133 (August 2018). (Nobuki Takayama, Satoshi Kuriki, Akimichi Takemura) [ScienceDirect, arXiv]
  

• Multiplicity adjustment for temporal and spatial scan statistics using Markov property, Japanese Journal of Statistics and Data Science, Volume 1, Issue 1, 191-213 (June 2018). (Satoshi Kuriki, Kunihiko Takahashi, Hisayuki Hara) [Springer, arXiv]
  

• Discussion on “A Bayesian information criterion for singular models” by Mathias Drton and Martyn Plummer, Journal of the Royal Statistical Society: Series B (Statistical Methodology), Volume 79, Issue 2, 369-370 (February 2017). [Wiley]
  

• Simultaneous confidence bands for contrasts between several nonlinear regression curves, Journal of Multivariate Analysis, Volume 155, 83-104 (March 2017). (Xiaolei Lu, Satoshi Kuriki) [ScienceDirect, arXiv]
  

• Chi-square mixture representations for the distribution of the scalar Schur complement in a noncentral Wishart natrix, Statistics & Probability Letters, Volume 115, 79-87 (August 2016). (Constantin Siriteanu, Satoshi Kuriki, Donald Richards, Akimichi Takemura) [ScienceDirect, arXiv]
  

• Exact ZF analysis and computer-algebra-aided evaluation in rank-1 LoS Rician fading, IEEE Transactions on Wireless Communications, Volume 15, Issue 8, 5245-5259 (August 2016). (Constantin Siriteanu, Akimichi Takemura, Christoph Koutschan, Satoshi Kuriki, Donald St. P. Richards, Hyundong Shin [IEEE, arXiv]
  

• EM algorithms for estimating the Bernstein copula, Computational Statistics & Data Analysis, Volume 93, 228-245 (January 2016). (Xiaoling Dou, Satoshi Kuriki, Gwo Dong Lin, and Donald Richards) [ScienceDirect, arXiv]
  

• MIMO zero-forcing performance evaluation using the holonomic gradient method, IEEE Transactions on Wireless Communications, Volume 14, Issue 4, 2322-2335 (April 2015). (Constantin Siriteanu, Akimichi Takemura, Satoshi Kuriki, Hyundong Shin, and Christoph Koutschan) [IEEE]
  

• Schur complement based analysis of MIMO zero-forcing for Rician fading, IEEE Transactions on Wireless Communications, Volume 14, Issue 4, 1757-1771 (April 2015). (Constantin Siriteanu, Akimichi Takemura, Satoshi Kuriki, Donald St. P. Richards, and Hyundong Shin)) [IEEE]
  

• Segregation of a QTL cluster for home cage activity using a new mapping method based on regression analysis of congenic mouse strains, Heredity, Vol. 113, 416-423 (2014). (S. Kato, A. Ishii, A. Nishi, S. Kuriki, T. Koide) [Nature]
  

• Recent developments on the construction of bivariate distributions with fixed marginals, Journal of Statistical Distributions and Applications, Vol. 1, 14 (2014). (Gwo Dong Lin, Xiaoling Dou, Satoshi Kuriki, and J. S. Huang) [Springer]
  

• Influence analysis in quantitative trait loci detection, Biometrical Journal, Vol. 56, Issue 4, 697-719 (2014). (Xiaoling Dou, Satoshi Kuriki, Akiteru Maeno, Toyoyuki Takada, and Toshihiko Shiroishi) [Wiley]
  

• Approximate tail probabilities of the maximum of a chi-square field on multi-dimensional lattice points and their applications to detection of loci interactions, Annals of the Institute of Statistical Mathematics, Vol. 66, Issue 4, 725-757 (2014). (Satoshi Kuriki, Yoshiaki Harushima, Hironori Fujisawa, and Nori Kurata) [Springer, arXiv]
  

• Exact MIMO zero-forcing detection analysis for transmit-correlated Rician fading, IEEE Transactions on Wireless Communications, Vol. 13 (3), 1514-1527 (2014). (Constantin Siriteanu, Steven D. Blostein, Akimichi Takemura, Hyundong Shin, Shahram Yousefi, and Satoshi Kuriki) [IEEE, arXiv]
  

• Dependence structures and asymptotic properties of Baker's distributions with fixed marginals. Journal of Statistical Planning and Inference, Vol. 143, 1343-1354 (2013). (Xiaoling Dou, Satoshi Kuriki, and Gwo Dong Lin) [ScienceDirect]
  

• Likelihood ratio tests for positivity in polynomial regressions. Journal of Multivariate Analysis, Vol. 115, 334-346 (2013). (Naohiro Kato and Satoshi Kuriki) [ScienceDirect, arXiv]
  

• Dependence structure of bivariate order statistics with applications to Bayramoglu's distributions. Journal of Multivariate Analysis, Vol. 114, 201-208 (2013). (J.S. Huang, Xiaoling Dou, Satoshi Kuriki, G.D. Lin) [ScienceDirect]
  

• MIMO zero-forcing detection analysis for correlated and estimated Rician fading. IEEE Transactions on Vehicular Technology, Vol. 61 (7), 3087-3099 (2012). (Constantin Siriteanu, Yoshikazu Miyanaga, Steven D. Blostein, Satoshi Kuriki, Xiaonan Shi) [IEEE]
  

• Abstract tubes associated with perturbed polyhedra with applications to multidimensional normal probability computations. In Harmony of Grobner Bases and the Modern Industrial Society (T. Hibi ed.), World Scientific, 2012, pp. 169-183. (Satoshi Kuriki, Tetsuhisa Miwa and Anthony J. Hayter) [arXiv]
  

• Graph presentations for moments of noncentral Wishart distributions and their applications. Annals of the Institute of Statistical Mathematics, Vol. 62, No. 4, 645-672 (2010). (Satoshi Kuriki and Yasuhide Numata) [Springer, arXiv]
  

• Distributions of the largest singular values of skew-symmetric random matrices and their applications to paired comparisons. Communications in Statistics - Theory and Methods, Volume 39, Issue 8 & 9, 1522-1535 (2010). [Taylor & Francis, arXiv]
  

• Volume of tubes and the distribution of the maximum of a Gaussian random field. Selected Papers on Probability and Statistics, American Mathematical Society Translations Series 2, Vol. 227, No. 2, 25-48 (2009). (Satoshi Kuriki and Akimichi Takemura) [pdf]
  

• QTL analyses of temporal and intensity components of home-cage activity in KJR and C57BL/6J strains. BMC Genetics, Vol. 10, 40 (2009). (Umemori, J., Nishi, A., Lionikas, A., Sakaguchi, T., Kuriki, S., Blizard, D. A. and Koide, T.) [BMC]
  

• Star-shaped distributions and their generalizations. Journal of Statistical Planning and Inference, Vol. 138, 3429-3447 (2008). (Hidehiko Kamiya, Akimichi Takemura and Satoshi Kuriki) [ScienceDirect]
  

• Euler characteristic heuristic for approximating the distribution of the largest eigenvalue of an orthogonally invariant random matrix. Journal of Statistical Planning and Inference, Vol. 138, 3357-3378 (2008). (Satoshi Kuriki and Akimichi Takemura) [ScienceDirect, pdf]
  

• The tube method for the moment index in projection pursuit. Journal of Statistical Planning and Inference, Vol. 138, 2749-2762 (2008). (Satoshi Kuriki and Akimichi Takemura) [ScienceDirect, pdf]
  

• Disruption of genetic interaction between two autosomal regions and the X chromosome causes reproductive isolation between mouse strains derived from different subspecies. Genetics, Vol. 175, Issue 1, 185-197 (2007). (Ayako Oka, Toshihiro Aoto , Yoshikazu Totsuka, Riichi Takahashi, Masatsugu Ueda, Akihiko Mita, Noriko Sakurai-Yamatani, Hiromi Yamamoto, Satoshi Kuriki, Nobuo Takagi, Kazuo Moriwaki and Toshihiko Shiroishi) [Genetics]
  

• Testing marginal homogeneity against stochastically ordered marginals for r x r contingency tables. Journal of Multivariate Analysis, Volume 97, Issue 6, 1330-1341 (2006). (Wei Gao and Satoshi Kuriki) [ScienceDirect]
  

• Asymptotic distribution of inequality-restricted canonical correlation with application to tests for independence in ordered contingency tables. Journal of Multivariate Analysis, Vol. 94, No. 2, 420-449 (2005) [ScienceDirect, ps, pdf]
  

• Retrieval of trace gases from aerosol-influenced infrared transmission spectra observed by low-spectral-resolution Fourier-transform spectrometers. Applied Optics, Vol. 44, Issue 3, 455-466 (2005). (Nobuyuki Uemura, Satoshi Kuriki, Koji Nobuta, Tatsuya Yokota, Hideaki Nakajima, Takafumi Sugita, and Yasuhiro Sasano) [pdf]
  

• Tail probabilities of the limiting null distributions of the Anderson-Stephens statistics. Journal of Multivariate Analysis, Vol. 89, No. 2, 261-291 (2004). (Satoshi Kuriki and Akimichi Takemura) [ScienceDirect]
  

• Tail probability via tube formula when critical radius is zero. Bernoulli, Vol. 9, No. 3, 535-558 (2003). (Akimichi Takemura and Satoshi Kuriki) [euclid]
  

• The evaluation of general non-centred orthant probabilities. Journal of the Royal Statistical Society, Ser. B, Vol. 65, Part 1, 223-234 (2003). (Tetsuhisa Miwa, Anthony J. Hayter, and Satoshi Kuriki) [Wiley]
  

• Changes in center-of-pressure dynamics during upright standing related to decreased balance control in young adults: Fractional Brownian motion analysis. Journal of Human Ergology , Vol. 31, 1-11 (2002). (Hideyuki Tanaka, Teruo Uetake, Satoshi Kuriki, and Satoshi Ikeda)
  

• Application of tube formula to distributional problems in multiway layouts. Applied Stochastic Models in Business and Industry, Vol. 18, No. 3, 245-257 (2002). (Satoshi Kuriki and Akimichi Takemura) [Wiley, ps, pdf]
  

• On the equivalence of the tube and Euler characteristic methods for the distribution of the maximum of Gaussian fields over piecewise smooth domains. The Annals of Applied Probability, Vol. 12, No. 2, 768-796 (2002). (Akimichi Takemura and Satoshi Kuriki) [euclid, ps, pdf]
  

• On the isotonic range statistic for testing against an ordered alternative. Journal of Statistical Planning and Inference, Vol. 105, Issue 2, 347-362 (2002). (Satoshi Kuriki, Hidetoshi Shimodaira, and Anthony J. Hayter) [ScienceDirect]
  

• Tail probabilities of the maxima of multilinear forms and their applications. The Annals of Statistics, Vol. 29, No. 2, 328-371 (2001). (Satoshi Kuriki and Akimichi Takemura) [euclid, ps, pdf]
  

• Shrinkage estimation towards a closed convex set with a smooth boundary. Journal of Multivariate Analysis, Vol. 75, No. 1, 79-111 (2000). (Satoshi Kuriki and Akimichi Takemura) [ScienceDirect]
  

• Some geometry of the cone of nonnegative definite matrices and weights of associated chi-bar-squared distribution. Annals of the Institute of Statistical Mathematics, Vol. 52, No. 1, 1-14 (2000). (Satoshi Kuriki and Akimichi Takemura) [ISM, Springer]
  

• Shrinkage to smooth non-convex cone: principal component analysis as Stein estimation. Communications in Statistics: Theory and Methods, Vol. 28, Issues 3 & 4, 651-669, (1999). (Akimichi Takemura and Satoshi Kuriki) [Taylor & Francis]
  

• Weights of chi-bar-squared distribution for smooth or piecewise smooth cone alternatives. The Annals of Statistics, Vol. 25, No. 6, 2368-2387 (1997). (Akimichi Takemura and Satoshi Kuriki) [euclid]
  

• A proof of independent bartlett correctability of nested likelihood ratio tests. Annals of the Institute of Statistical Mathematics, Vol. 48, No. 4, 603-620 (1996). (Akimichi Takemura and Satoshi Kuriki) [ISM, Springer]
  

• Orthogonally invariant estimation of the skew-symmetric normal mean matrix. Annals of the Institute of Statistical Mathematics, Vol. 45, No. 4, 731-739 (1993). [ISM, Springer]
  

• One-sided test for the equality of two covariance matrices. The Annals of Statistics, Vol. 21, No. 3, 1379-1384 (1993). [euclid]
  

• Likelihood ratio tests for covariance structure in random effects models. Journal of Multivariate Analysis, Vol. 46, No. 2, 175-197 (1993). [ScienceDirect]
  

• Multiple comparison procedures based on the maximal component of the cumulative chi-squared statistic. Biometrika, Vol. 79, No. 2, 381-392 (1992). (Chihiro Hirotsu, Satoshi Kuriki and Anthony J. Hayter) [Oxford ]
  

• Robust persistence diagrams using reproducing kernels, NeurIPS 2020 (Siddharth Vishwanath, Kenji Fukumizu, Satoshi Kuriki, Bharath Sriperumbudur) [arXiv]
  

• Convergence analysis of performance-measure expressions for MIMO ZF under Rician fading, 2014 Australian Communications Theory Workshop, AusCTW 2014, art. no. 6766438, pp. 114-119 (2014). (Siriteanu, C., Takemura, A., Blostein, S.D., Kuriki, S., Shin, H.) [IEEE]
  

• On formulas for moments of the Wishart distributions as weighted generating functions of matchings. Extended Abstract of FPSAC 2010 (2010). (Yasuhide Numata and Satoshi Kuriki) [pdf]
  

• Maximum covariance difference test for equality of two covariance matrices. Algebraic Methods in Statistics and Probability, Contemporary Mathematics Vol. 287 (2001), AMS, 283-301. (Akimichi Takemura and Satoshi Kuriki)
  

• Asymptotic expansion of null distribution of likelihood ratio statistic in multiparameter exponential family to an arbitrary order. Probability Theory and Mathematical Statistics: Proceedings of the Seventh Japan-Russia Symposium, 244-255 (1996). (Satoshi Kuriki and Akimichi Takemura)
  

• A multipler-less digital timing extractor circuit with round-off error canceller. Proceedings of ISCAS 85, 1483-1486 (1985). (Kenji Nakayama and Satoshi Kuriki) [Kanazawa U]
  

• The tube method: Theory and applications (in Japanese). Proceedings of the Institute of Statistical Mathematics, Vol. 67, No. 2, 1-15 (2019). (Satoshi Kuriki) [ISM]
  

• Test for positivity in quadratic polynomial regression over intervals (in Japanese). Japanese Journal of Applied Statistics, Vol. 41, No. 1, 1-15 (2012). (Naohiro Kato and Satoshi Kuriki) [J-STAGE, pdf]
  

• Statistical models and adjusting for the multiplicity of tests in the QTL analysis (in Japanese). Statistical Science in the 21st Century II, The University of Tokyo Press, 315-356 (2008). [pdf]
  

• The volume of tubes and the distribution of the maximum of a Gaussian random field (in Japanese). Sugaku, Vol. 60, No. 2, 134-155 (2008). (Satoshi Kuriki and Akimichi Takemura) [J-STAGE, pdf]
  

• Statistical inference in singular models: A tangent cone approach (in Japanese). The Brain & Neural Networks, Vol. 10, No.4, 201-210 (2003). (Kenji Fukumizu and Satoshi Kuriki) [J-STAGE]
  

• Distribution of the maximum of Gaussian random field: tube method and Euler characteristic method (in Japanese). Proceedings of the Institute of Statistical Mathematics, Vol. 47, No. 1 (1999), 201-221. (Satoshi Kuriki and Akimichi Takemura) [ISM, pdf]
  

• A construction of simultaneous confidence regions and multiple comparison procedures concerning the paired comparison model (in Japanese). Japanese Journal of Applied Statistics, Vol. 20, No. 3, 127-137 (1991). [J-STAGE]
  

• The multiple comparison procedure based on the maximal component of the cumulative chi-squared statistic: Interaction case (in Japanese). Japanese Journal of Applied Statistics, Vol. 19, No. 2, 115-132 (1990). (Chihiro Hirotsu and Satoshi Kuriki) [J-STAGE]
  

• The multiple comparison procedure based on the maximal component of the cumulative chi-squared statistic: Calculation of significance probability and its application to the comparison of dose levels (in Japanese). Japanese Journal of Applied Statistics, Vol. 18, No. 3, 129-141 (1989). (Satoshi Kuriki, Chihiro Hirotsu, and Anthony J. Hayter) [J-STAGE]
  

• Statistics and Mathematics: Integral geometry and geometry of random fields (in Japanese). Suurikagaku, Vol. 738, 52-58 (December 2024). [draft]
  

• Integral geometry and statistical inference (in Japanese). Estrela, No. 331, 2-7 (December 2021). [draft]
  

• Geometry of random fields: Integral geometry for statistical findings (in Japanese). Suurikagaku, Vol. 687, 36-42 (September 2020). [corrections]
  

• Statistical Theory of Singular Models (in Japanese), Iwanami, Tokyo (2004). (Kenji Fukumizu, Satoshi Kuriki, Kei Takeuchi, and Masafumi Akahira)
  

• Likelihood Ratio Tests in Multivariate Variance Components Models. University of Tokyo (1993.2.12). [pdf]
  

• Likelihood Ratio Tests in Multivariate Variance Components Models. University of Tokyo (1993.2.12). [pdf]
  

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