Doctor(Science), University of Tsukuba, Mar. 1997

Master(Mathematics), University of Tsukuba, Mar. 1992

Mathematical Statistics

Natural sciences, Applied mathematics and statistics

Natural sciences, Basic mathematics

Apr. 2016 - Present

Jun. 2024 - May 2025

Mar. 2021 - Feb. 2023

Mar. 2020 - Mar. 2020

Mar. 2019 - Mar. 2019

Mar. 2018 - Mar. 2018

Dec. 2016 - Nov. 2017

Mar. 2017 - Mar. 2017

Dec. 2015 - Nov. 2016

Jul. 2016
Editorial board member, International Journal of Applied & Experimental Mathematics

Jan. 2011 - Mar. 2011

Jan. 2010 - Mar. 2010

Apr. 2009 - Oct. 2009

Dec. 2008 - Mar. 2009

Apr. 2008 - Dec. 2008

Jul. 2008 - Nov. 2008

Jul. 2005 - Jun. 2007

Sep. 2005
Editorial board member, International Journal of Statistics and Systems

On the attainments of the van Trees and the Borovkov-Sakhanenko bounds for the escort distribution
Banno, S; Koike, K
Calcutta Statistical Association Bulletin, Nov. 2024, Refereed

Attainments of the Bayesian information bounds for the escort distribution
Soshi Banno; Ken-ichi Koike
数理解析研究所講究録, Jun. 2022

Improvement of Bobrovsky–Mayor–Wolf–Zakai Bound
Ken-ichi Koike; Shintaro Hashimoto
Entropy, Jan. 2021, Refereed, Not invited
Lead

Bobrovsky-Mayer-Wolf-Zakaiの下界の改良
小池健一; 橋本真太郎
数理解析研究所講究録, Jun. 2020, Not refereed, Not invited
Lead

Asymptotic comparison of some Bayesian information bounds
Ken-ichi Koike
Communications in Statistics -Theory and Methods, Apr. 2020, Refereed, Not invited
Lead

Attainments of the Bayesian information bounds
Koike Ken-ichi
Communications in Statistics – Theory and Methods, Oct. 2019, Refereed, Not invited

ベイズ推測におけるリスク不等式の漸近的な比較
小池 健一
京都大学数理解析研究所講究録, Aug. 2019, Not refereed, Not invited

On log-q-Gaussian distribution.
Koike, Ken-ichi; Shimegi, Yuya
Calcutta Statistical Association Bulletin, Nov. 2018, Refereed, Not invited

対数qガウス分布とその性質
小池, 健一; 標, 優矢
数理解析研究所講究録, Oct. 2018, Not refereed, Not invited

On skew-q-gaussian distribution
Tasaki, Masahiro; Koike, Ken-ichi
International Journal of Statistics and Systems, Dec. 2017, Refereed, Not invited

exponential-symmetry and power-symmetry
Ishihara Ryusuke; Ken-ichi Koike
京都大学数理解析研究所講究録, Oct. 2017, Not refereed, Not invited

Non-informative prior with maximum divergence for non-regular Bayesian estimation
Hashimoto, Shintaro; Koike, Ken-ichi
International Journal of Applied & Experimental Mathematics, Jan. 2017, Refereed, Not invited

Skew-q-gaussian distribution
田崎雅裕; Koike, Ken-ichi
京都大学数理解析研究所講究録, Jul. 2016, Not refereed, Not invited

Second-order asymptotic comparison of the MLE and MCLE for a two-sided truncated exponential family of distributions
M. Akahira; S. Hashimoto; K. Koike; N. Ohyauchi
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, Refereed, Not invited

Bhattacharyya-Type Information Inequality for the Bayes Risk
Shintaro Hashimoto; Ken-Ichi Koike
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2015, Refereed, Not invited

The generalized amount of information between the prior distribution and the asymptotic posterior one (Asymptotic Statistics and Its Related Topics)
Akahira,Masafumi; Koike,Ken-ichi
RIMS Kokyuroku, Aug. 2014, Not refereed, Not invited

ベイズリスクに対するバッタチャリャ型情報不等式 (種々のモデルのための漸近展開とそれらに関連する話題)
Hashimoto,Shintaro; Koike,Ken-ichi
RIMS Kokyuroku, Nov. 2013, Not refereed, Not invited

ベイズ推測における事前分布の持つ情報の評価 (統計的モデルの新たな展望とそれに関連する話題)
Koike,Ken-ichi; Kamiyauchi,Yu
RIMS Kokyuroku, Aug. 2012, Not refereed, Not invited

台が有界な分布に対する分布の台の幅の逐次区間推定 (統計的モデルの新たな展望とそれに関連する話題)
Koike,Ken-ichi; Hirayama,Reishi
RIMS Kokyuroku, Aug. 2012, Not refereed, Not invited

The Professional Career and Contributions of Professor Masafumi Akahira
Makoto Aoshima; Ken-Ichi Koike
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2010, Refereed, Not invited

Sequential Estimation Procedures for End Points of Support in a Non-Regular Distribution
Ken-Ichi Koike
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2010, Refereed, Not invited

非正則分布における分布の台の端点の逐次推測について (統計的推測へのベイズ的アプローチとそれに関連する話題)
Koike Ken-ichi
RIMS Kokyuroku, Jan. 2009, Not refereed, Not invited

Sequential point estimation of the location parameter in the location-scale family of non-regular distributions
Ken-Ichi Koike
Sequential Analysis, Oct. 2007, Refereed, Not invited

位置尺度母数分布族における位置母数の逐次区間推定について(多重比較の統計的決定とそれに関連する話題)
Koike,Ken-ichi; Akahira,Masafumi
RIMS Kokyuroku, Jun. 2007, Not refereed, Not invited

Sequential interval estimation of a location parameter with fixed width in the nonregular case
Ken-Ichi Koike
Sequential Analysis, Jan. 2007, Refereed, Not invited

非正則な位置尺度母数分布族における位置母数の逐次点推定について(統計的条件付推測とそれに関連する話題)
Koike Ken-ichi
RIMS Kokyuroku, Jul. 2006, Not refereed, Not invited

An integral Bhattacharyya type bound for the Bayes risk
Ken-ichi Koike
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2006, Refereed, Not invited

Sequential interval estimation of a location parameter with the fixed width in the uniform distribution with unknown scale parameter
Akahira,M; Koike,K
Sequential Analysis, Jan. 2005, Refereed, Not invited

位置尺度母数をもつ切断分布族における位置母数の固定幅の逐次区間推定 (区間推定とその関連する問題)
Koike,Ken-ichi; Akahira,Masafumi
RIMS Kokyuroku, Jun. 2004, Not refereed, Not invited

ベイズリスクに関する積分バッタチャリャ型不等式について(漸近的統計理論)
Koike,Ken-ichi
RIMS Kokyuroku, Feb. 2003, Not refereed, Not invited

ベイズリスクに関する積分バッタチャリヤ型不等式について
小池健一
京都大学数理解析研究所講究録, Jan. 2003, Not refereed, Not invited

An Extension of the Borovkov-Sakhanenko Bound for the Bayes Risk (Statistical Experiments and Clinical Trials)
Koike,Ken-ichi; Tanaka,Hidekazu
RIMS Kokyuroku, Jul. 2002, Not refereed, Not invited

不偏推定量の分散に関するChapman-Robbins型不等式の拡散について (Statistical Experiments and Clinical Trials)
Koike,Ken-ichi
RIMS Kokyuroku, Jul. 2002, Not refereed, Not invited

On the inequality of Kshirsagar
K Koike
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2002, Refereed, Not invited

不偏推定量の分散に関するChapman-Robbins型不等式の拡張について．
小池健一
京大数理解析研究所講究録, Jan. 2002, Not refereed, Not invited

An extension of the Borovkov-Sakhanienko bound for the Bayes risk.
小池健一; 田中秀和
京大数理解析研究所講究録, Jan. 2002, Not refereed, Not invited

逐次Bhattacharyya型下界の達成について (Statistical Inference and the Bioequivalence Problem)
Koike,Ken-ichi
RIMS Kokyuroku, Jul. 2001, Not refereed, Not invited

逐次Bhattacharyya型下界の達成について．
小池健一
京大数理解析研究所講究録, Jan. 2001, Not refereed, Not invited

A lower bound for the Bayes risk in the sequential case
K Koike
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1999, Refereed, Not invited

Asymptotic efficiency in sequential estimation (Large Deviation and Statistical Inference)
Koike,Ken-ichi
RIMS Kokyuroku, Aug. 1998, Not refereed, Not invited

On the properties of statistical sequential decision procedures
Akahira;M; Koike;;K; 小池, 健一
Sugaku Expositions, Jan. 1998, Refereed, Not invited

Asymptotic efficiency in sequential estimation
小池健一
S(]E87CD[)rikaisekikenky(]E87CD[)sho K(]E87C7[)ky(]E87CD[)roku, Jan. 1998, Not refereed, Not invited

A lower bound for the Bayes risk in the sequential case
Koike,Ken-ichi
RIMS Kokyuroku, Aug. 1997, Not refereed, Not invited

The Bhattacharyya type bound for the variance of sequential estimation procedures.
Koike, K
Journal of the Japan Statistical Society, Jan. 1997, Refereed, Not invited

A lower bound for the Bayes risk in the sequential case.
小池健一
S(]E87CD[)rikaisekikenky(]E87CD[)sho K(]E87C7[)ky(]E87CD[)roku, Jan. 1997, Not refereed, Not invited

統計的逐次決定法式の性質について
赤平, 昌文; 小池, 健一
数学, May 1996, Not refereed, Not invited

On the properties of statistical sequential decision procedures
赤平昌文; 小池健一
S(]E87CD[)gaku, Jan. 1996, Refereed, Not invited

On the optimum properties of sequential estimation procedures in the multinomial sampling plans.
Koike, K
Sequential Analysis, Jan. 1996, Refereed, Not invited

逐次推定におけるBhattacharyya型情報不等式について
Koike,Ken-ichi; Akahira,Masafumi
RIMS Kokyuroku, Jul. 1995, Not refereed, Not invited

On the Bhattacharyya type inequality in the sequential estimation
小池健一; 赤平昌文
S(]E87CD[)rikaisekikenky(]E87CD[)sho K(]E87C7[)ky(]E87CD[)roku, Jan. 1995, Not refereed, Not invited

逐次多項標本抽出における推定方式の許容性について
Koike,Ken-ichi
RIMS Kokyuroku, Jun. 1994, Not refereed, Not invited

On the admissibility of estimation procedures in sequential multinomial sampling plans.
小池健一
S(]E87CD[)rikaisekikenky(]E87CD[)sho K(]E87C7[)ky(]E87CD[)roku, Jan. 1994, Not refereed, Not invited

Bayes sequential decision rules in the multinomial sampling(Sequential Analysis and Statistical Inference)
Koike,Ken-ichi; Akahira,Masafumi
RIMS Kokyuroku, Jun. 1993, Not refereed, Not invited

The Cramer-Rao lower bound for sequential estimation in the multiparameter case(Sequential Analysis and Statistical Inference)
Koike,Ken-ichi
RIMS Kokyuroku, Jun. 1993, Not refereed, Not invited

The Cramer-Rao lower bound for sequential estimation in the multiparameter case.
小池健一
S(]E87CD[)rikaisekikenky(]E87CD[)sho K(]E87C7[)ky(]E87CD[)roku, Jan. 1993, Not refereed, Not invited

Bayes sequential decision rules in the multinomial sampling.
小池健一; 赤平昌文
S(]E87CD[)rikaisekikenky(]E87CD[)sho K(]E87C7[)ky(]E87CD[)roku, Jan. 1993, Not refereed, Not invited

Completeness for sequential sampling plans
Ken-Ichi Koike; Masafumi Akahira
Sequential Analysis, Jan. 1993, Refereed, Not invited

Unbiased estimation for sequential multinomial sampling plans
Ken-Ichi Koike
Sequential Analysis, Jan. 1993, Refereed, Not invited

On the sequential sampling plans
Koike,Ken-ichi; Akahira,Masafumi
RIMS Kokyuroku, Mar. 1992, Not refereed, Not invited

On the sequential sampling plans
赤平昌文; 小池健一
S(]E87CD[)rikaisekikenky(]E87CD[)sho K(]E87C7[)ky(]E87CD[)roku, Jan. 1992, Not refereed, Not invited

Unbiased estimation in sequential binomial sampling.
Akahira;M; Takeuchi;K; Koike;K; 小池, 健一
Reports of Statistical Application Research, Union of Japanese Scienctists and Engineers., Jan. 1992, Refereed, Not invited

Reference prior based on a general divergence for multi-parameter non-regular models (New Advances in Statistical Inference and Its Related Topics)
Hashimoto Shintaro; Koike Ken-ichi
RIMS Kokyuroku, Jun. 2015

統計的逐次推定論
赤平昌文; 小池健一, Joint work
共立出版, Jun. 2022
9784320112728

ベイズ推測におけるクラメール・ラオ型不等式について
小池健一
科研費シンポジウム「ベイズ統計学の最前線: 理論から 実践まで」, Jan. 2024, Invited

エスコート分布の次数に対するベイズ情報不等式の達成について
伴野創志; 小池健一
京都大学数理解析研究所RIMS共同研究（グループ型A）による研究会"ベイズ法と統計的推測", Mar. 2022, Not invited

Bobrovsky–Mayor-Wolf–Zakai の下界の改良
小池健一; 橋本真太郎
日本数学会秋季総合分科会, Sep. 2021, Not invited

ベイズ情報不等式の漸近的比較
小池 健一
日本数学会年会, Mar. 2019, 日本数学会, Not invited

Asymptotic comparison of Bayesian inequalities
Koike Ken-ichi
RIMS 共同研究による研究会"最尤法とベイズ法", Mar. 2019, 小池健一, Not invited

ベイジアン情報量不等式
小池 健一
広島大学統計セミナー, Oct. 2018, Invited

ベイズ統計学入門
小池 健一
第２回RCMSサロン, Jul. 2018, Not invited

THE JAPAN STATISTICAL SOCIETY

The Mathematical Society of Japan

International Statistical Institute

Research on Bayes inference in non-regular models in a wide sense
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2019 - 31 Mar. 2024
赤平 昌文; 青嶋 誠; 小池 健一; 矢田 和善

ベイジアン情報不等式による有効性
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Apr. 2020 - Mar. 2023
小池 健一

The clarification of hierarchical structure of statistical deficiency
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2015 - 31 Mar. 2018
AKAHIRA Masafumi

非正則な確率分布に関する逐次推定方式の構築
日本学術振興会, ：科学研究費（基盤研究(C)）, Apr. 2013 - Mar. 2017
小池 健一

The clarification of non-regular structure in statistical inference and its applications
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2011 - 31 Mar. 2016
Akahira Masafumi; AOSHIMA Makoto; KOIKE Ken-Ichi; OHYAUCHI Nao; TORIGOE Norio

New Development of Statistical Experiment and Its Applications
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2012 - 31 Mar. 2015
AKAHIRA Masafumi; AOSHIMA Makoto; KOIKE Ken-ichi; OHYAUCHI Nao

Theories and Methodologies for High-Dimensional Data Analysis
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2010 - 31 Mar. 2015
AOSHIMA Makoto; YATA Kazuyoshi; SATO-ILIC Mika; AKAHIRA Masafumi; KOIKE Ken-ichi; OHYAUCHI Nao

非正則な場合の統計的逐次推定方式の構築
日本学術振興会, 科学研究費（基盤研究(C)）, Apr. 2009 - Mar. 2013
小池 健一

The clarification of the structure of the inverse problem in statistics and its applications
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2009 - 2011
AKAHIRA Masafumi; AOSHIMA Makoto; KOIKE Ken-ichi; OHYAUCHI Nao

Theory of the foundation of mathematical statistics to analyze the biological information and its applications
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2007 - 2010
AKAHIRA Masafumi; AOSHIMA Makoto; KOIKE Kenーichi; OHYAUCHI Nao; TORIGOE Norio; SHIRAISHI Takaaki; TANAKA Hidekazu; KONNO Yoshihiko; KUBOKAWA Tatsuya

MATHEMATICAL STATISTICS FOR DATA ANALYSIS IN HIGH DIMENSION, LOW SAMPLE SIZE CONTEXT AND ITS APPLICATIONS
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2006 - 2009
AOSHIMA Makoto; AKAHIRA Masafumi; KOIKE Ken-ichi; OHYAUCHI Nao; TASAKI Hiroyuki; KAWAMURA Kazuhiro; TAKAHASHI Hideto; MINAMI Nariyuki

非正則推定における情報不等式による逐次決定方式の有効性
日本学術振興会, 科学研究費（基盤研究(C)）, Apr. 2005 - Mar. 2008
小池 健一

統計的検定論を超える新しい決定論的アプローチの試み
日本学術振興会, 科学研究費助成事業, 2004 - 2006
赤平 昌文; 青嶋 誠; 小池 健一; 田中 秀和; 大谷内 奈穂; 本橋 信義

統計的推測における不等式を用いた有効性に関する研究
日本学術振興会, 科学研究費（若手研究(B)）, Apr. 2002 - Mar. 2005
小池 健一

高次元データ解析の数理統計学的基礎とその応用
日本学術振興会, 科学研究費助成事業, 2004 - 2005
青嶋 誠; 赤平 昌文; 小池 健一; 田中 秀和

逐次推定方式の有効性と最適性に関する研究
日本学術振興会, 科学研究費（奨励研究(A)）, Apr. 2000 - Mar. 2002
小池 健一

逐次情報集約型実験における統計的理論の構築とその応用
日本学術振興会, 科学研究費助成事業, 2001 - 2002
赤平 昌文; 田中 秀和; 小池 健一; 青嶋 誠; 高橋 邦彦

Researches on the Non-Regular Inference Theory and the Concepts of the Amounts of Information
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 1998 - 2001
AKAHIRA Masafumi; YOSHIDA Nakahiro; SHIRAISHI Takaaki; FUJIKOSHI Yasunori; KOIKE Ken-ichi; AOSHIMA Makoto

逐次推定における推定方式の有効性と最適性
日本学術振興会, 科学研究費（奨励研究(A)）, Apr. 1998 - Mar. 2000
小池 健一

小標本受容モデルversus大標本棄却モデル
日本学術振興会, 科学研究費助成事業, 1996 - 1996
狩野 裕; 小池 健一; 佐々木 建昭; 杉浦 成昭; 本橋 信義; 赤平 昌文

Researches on the higher order asymptotic theory of statistical inference
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 1995 - 1996
AKAHIRA Masafumi; KOIKE Ken-ichi; NISHIMURA Hirokazu; MINAMI Nariyuki; KANDA Mamoru; SUGIURA Nariaki