Perturbation method for determining the group of invariance of hierarchical models. - Tomonari Sei; Satoshi Aoki; Akimichi Takemura (Adv. Appl. Math., 2009)

Holonomic gradient descent and its application to the Fisher-Bingham integral. - Hiromasa Nakayama; Kenta Nishiyama; Masayuki Noro; Katsuyoshi Ohara; Tomonari Sei; Nobuki Takayama; Akimichi Takemura (Adv. Appl. Math., 2011)

Hierarchical subspace models for contingency tables. - Hisayuki Hara; Tomonari Sei; Akimichi Takemura (J. Multivar. Anal., 2012)

Properties and applications of Fisher distribution on the rotation group. - Tomonari Sei; Hiroki Shibata; Akimichi Takemura; Katsuyoshi Ohara; Nobuki Takayama (J. Multivar. Anal., 2013)

Software Packages for Holonomic Gradient Method. - Tamio Koyama; Hiromasa Nakayama; Katsuyoshi Ohara; Tomonari Sei; Nobuki Takayama (ICMS, 2014)

Geometric Properties of Textile Plot. - Tomonari Sei; Ushio Tanaka (GSI, 2015)

Calculating the normalising constant of the Bingham distribution on the sphere using the holonomic gradient method. - Tomonari Sei; Alfred Kume (Stat. Comput., 2015)

An objective general index for multivariate ordered data. - Tomonari Sei (J. Multivar. Anal., 2016)

Coordinate-Wise Transformation and Stein-Type Densities. - Tomonari Sei (GSI, 2017)

On the exact maximum likelihood inference of Fisher-Bingham distributions using an adjusted holonomic gradient method. - Alfred Kume; Tomonari Sei (Stat. Comput., 2018)

On Geometric Properties of the Textile Set and Strict Textile Set. - Tomonari Sei; Ushio Tanaka (GSI, 2019)

Series expansion and Pfaffian systems of the von Mises distribution on the torus. - Kazuya Suzuki; Tomonari Sei (MFI, 2021)

On the fractional moments of a truncated centered multivariate normal distribution. - Mitsunori Ogawa; Kazuki Nakamoto; Tomonari Sei (Commun. Stat. Simul. Comput., 2022)

A Quantile General Index Derived from the Maximum Entropy Principle. - Tomonari Sei (Entropy, 2022)

Consistency of the objective general index in high-dimensional settings. - Takuma Bando; Tomonari Sei; Kazuyoshi Yata (J. Multivar. Anal., 2022)

A proper scoring rule for minimum information bivariate copulas. - Yici Chen; Tomonari Sei (J. Multivar. Anal., 2024)

Maximum likelihood estimation of log-concave densities on tree space. - Yuki Takazawa; Tomonari Sei (Stat. Comput., 2024)