�蛹ｴ 宏和（やなぎはら ひろかず） 広島大学 大学院理学研究科 数学専攻 准教授 〒739-8626 広島県東広島市鏡山1-3-1 部屋番号 : C813 Tel & Fax : 082-424-7357 (直通) E-Mail:yanagi＠math.sci.hiroshima-u.ac.jp

Asymptotic expansion; B-spline non-parametric model; Bias correction; Bootstrap; Carbon sequestration; Central limiting theory; Covariance structural model; Cross validation; Edgeworth expansion; Generalized linear model; GMANOVA model; Growth curve model; Improving transformation; Information criterion; Model selection; Multivariate analysis; Nonnormality; Regression analysis; Robustness, Sample dsitribution; Validity of expansion.

公表論文

	---査読付き論文---
[1]	Fujikoshi, Y., Ohmae, M. & Yanagihara, H. (1999).
	Asymptotic approximations of the null distribution of the one-way ANOVA test statistic under nonnormality.
	J. Japan Statist. Soc., Vol. 29 (2), 147-161. <abstract>
[2]	Yanagihara, H. (2000).
	Asymptotic expansion of the null distribution of one-way ANOVA test statistic for heteroscedastic case
	under nonnormality.
	Comm. Statist. Theory Methods, Vol. 29 (2), 463-476. <abstract>
[3]	Yanagihara, H. (2001).
	Asymptotic expansions of the null distributions of three test statistics in a nonnormal GMANOVA model.
	Hiroshima Math. J., Vol. 31 (2), 213-262. <abstract>
[4]	Wakaki, H., Yanagihara, H. & Fujikoshi, Y. (2002).
	Asymptotic expansions of the null distributions of test statistics for multivariate linear hypothesis
	under nonnormality.
	Hiroshima Math. J., Vol. 32 (1), 17-50. <abstract>
[5]	Yanagihara, H. (2003).
	Asymptotic expansion of the null distribution of test statistic for linear hypothesis in nonnormal linear model.
	J. Multivariate Anal., Vol. 84 (2), 222-246.
[6]	Yanagihara, H. & Tonda, T. (2003).
	Adjustment on an asymptotic expansion of the distribution function with χ2-approximation.
	Hiroshima Math. J., Vol. 33 (1), 15-25.
[7]	Satoh, K., Yanagihara, H. & Ohtaki, M. (2003).
	Bridging the gap between B-spline & polynomial regression model.
	Comm. Statist. Simulation Comput., Vol. 32 (1), 179-190.
[8]	Yanagihara, H., Sekiguchi, R. & Fujikoshi, Y. (2003).
	Bias correction of AIC in logistic regression models.
	J. Statist. Plann. Inference, Vol. 115 (2), 349-360.
	(This paper was in the top 5 of the most downloaded articles January - December 2003)
	(This paper was in the top 17 of the most downloaded articles January - August 2004)
	(This paper was in the top 1 of the most requested articles April 2002 - April 2004)
[9]	�蛹ｴ 宏和 ・ 吉本 敦 (2003).
	一般化多変量分散分析モデルの林木直径成長分析への適用可能性.
	統計数理 (特集: 森林資源統計学), Vol. 51 (1), 19-35.
[10]	Yanagihara, H. & Ohtaki, M. (2003).
	Knot-placement to avoid over fitting in B-spline scedastic smoothing.
	Comm. Statist. Simulation Comput., Vol. 32 (3), 771-785.
[11]	Fujikoshi, Y., Noguchi, T., Ohtaki, M. & Yanagihara, H. (2003).
	Corrected versions of cross-validation criteria for selecting multivariate regression and growth curve models.
	Ann. Inst. Statist. Math., Vol. 55 (3), 537-553.
[12]	西山 智 ・ �蛹ｴ 宏和 ・ 吉村 功 (2003).
	最大対比法を活用するためのSAS/IMLプログラム.
	計量生物学, Vol. 24 (2), 57-70.
[13]	Yanagihara, H., Matsumoto, C. & Tonda, T. (2004).
	Asymptotic expansion of the null distribution of the modified normal likelihood ratio criterion for testing
	Σ=Σ0 under nonnormality.
	Hiroshima Math. J., Vol. 34 (1), 81-100.
[14]	�蛹ｴ 宏和 ・ 大瀧 慈 (2004).
	B-スプラインノンパラメトリック回帰モデルにおける過剰適合の回避について.
	応用統計学 (特集号: ノンパラメトリック統計モデルとその応用), Vol. 33 (1), 51-69.
[15]	Satoh, K., Yanagihara, H. & Ohtaki, M. (2004).
	Clustering method by connected neighborhoods & its application.
	Adv. Appl. Stat., Vol. 4 (2), 223-231.
[16]	�蛹ｴ 宏和 (2005).
	非正規データにおける情報量規準を用いた共分散構造モデルの選択問題
	—「日本人の国民性調査」データへの適用 —.
	統計数理 (特集号: 日本人の国民性調査 50 年), Vol. 53 (1), 133-157.
[17]	Yanagihara, H. & Ohmoto, C. (2005).
	On distribution of AIC in linear regression models.
	J. Statist. Plann. Inference, Vol 133 (2), 417-433.
	(This paper was in the top 23 of the most downloaded articles April - June 2005)
[18]	能本 美穂 ・ 吉本 敦 ・ �蛹ｴ 宏和 (2005).
	木材生産を通した炭素の収支分析 — 福岡県八女地域を事例として —.
	日本森林学会誌, Vol. 87 (4), 313-322.
[19]	Yanagihara, H., Tonda, T. & Matsumoto, C. (2005).
	The effects of nonnormality on asymptotic distributions of some likelihood ratio criteria for testing covariance
	structures under normal assumption.
	J. Multivariate Anal., Vol. 96 (2), 237-264.
	Erratum, (2008), Vol. 99 (2), 309-310.
	(This paper was in the top 20 of the most downloaded articles October - December 2005)
[20]	Yanagihara, H. & Yuan, K.-H. (2005).
	Four improved statistics for contrasting means by correcting skewness and kurtosis.
	British J. Math. Statist. Psych., Vol. 58 (2), 209-237.
[21]	Yanagihara, H. & Yuan, K.-H. (2005).
	Three approximate solutions to the multivariate Behrens-Fisher problem.
	Comm. Statist. Simulation Comput., Vol. 34 (4), 975-988.
[22]	Yanagihara, H. & Ohtaki, M. (2005).
	A family of regression models having partially additive & multiplicative covariate structure.
	Bull. Inform. Cybernet. “Special Issue in Honor of Professor Takashi Yanagawa Part II”, Vol. 37, 49-64.
[23]	吉本 敦 ・ �蛹ｴ 宏和 ・ 二宮 嘉行. (2005).
	多変量線形モデルによる林分成長要因探索のための変数選択.
	日本森林学会誌 (特集号: 森林計画最前線 — 緑豊かな森林の育成を目指した最新研究 —), Vol. 87 (6), 504-512.
[24]	Fujikoshi, Y., Yanagihara, H., & Wakaki, H. (2005).
	Bias corrections of some criteria for selecting multivariate linear models in a general nonnormal case.
	Amer. J. Math. Management Sci. “25th Anniversary of the Thomas L. Saaty and Jacob Wolfowitz Prizes:
	New Advances and Applications by Prize Winners II”, Vol. 25 (3-4), 221-258.
	(This paper was selected as 2006 Jacob Wolfowitz Prize)
[25]	Yanagihara, H. (2006).
	Corrected version of AIC for selecting multivariate normal linear regression models in a general nonnormal case.
	J. Multivariate Anal., Vol. 97 (5), 1070-1089.
	(This paper was in the top 3 of the most downloaded articles April - June 2006)
[27]	Yanagihara, H., Tonda, T. & Matsumoto, C. (2006).
	Bias correction of cross-validation criterion based on Kullback-Leibler information under a general condition.
	J. Multivariate Anal. “Special issue dedicated to Professor Yasunori Fujikoshi”, Vol. 97 (9), 1965-1975.
	(This paper was in the top 15 of the most downloaded articles July - September 2006)
[26]	Yanagihara, H. (2007).
	A family of estimators for multivariate kurtosis in a nonnormal linear regression model.
	J. Multivariate Anal. , Vol. 98 (1), 1-29.
	(This paper was in the top 8 of the most downloaded articles October - December 2006)
[28]	Kamo, K., Kaneko, S., Satoh, K., Yanagihara, H., Mizuno, S. & Sobue, T. (2007).
	A mathematical estimation of true cancer incidence using data from population-based cancer registries.
	Jpn. J. Clin. Oncol., Vol. 37 (2), 150-155.
[29]	Yanagihara, H. (2007).
	Conditions for robustness to nonnormality of test statistics in a GMANOVA model.
	J. Japan Statist. Soc., Vol. 37 (1), 135-155.
[30]	Yuan, K.-H., Hayashi, K. & Yanagihara, H. (2007).
	A class of population covariance matrices in the bootstrap approach to covariance structure analysis.
	Multivariate Behav. Res., Vol. 42 (2), 261-281.
[31]	山村 麻理子 ・ �蛹ｴ 宏和 (2007).
	「国民生活基礎調査」データにもとづく居宅介護サービス利用に関する多変量プロビット分析.
	統計数理, Vol. 55 (1), 125-142.
[32]	Kamo, K., Yanagihara, H., Kato, A. & Yoshimoto, A. (2008).
	Probability estimation of snow damage on sugi (Cryptomeria japonica) forest stands by logistic regression
	model in Toyama prefecture, Japan.
	J. Forest Sci., Vol. 24 (3), 137-142.
[33]	Yoshimoto, A., Kato, A. & Yanagihara, H. (2008).
	Economic analysis of snow damage on sugi (Cryptomeria japonica) forest stands in Japan within the forest
	stand optimization framework.
	J. Forest Sci., Vol. 24 (3), 143-149.
[34]	佐藤 健一 ・ �蛹ｴ 宏和 ・ 加茂 憲一 (2009).
	離散分布の経時測定データにおける線形な変化係数の推測について.
	応用統計学, Vol. 38 (1), 19-28.
	(本論文により2010年度応用統計学会優秀論文章を受章)
[35]	�蛹ｴ 宏和 ・ 永井 勇 ・ 佐藤 健一. (2009).
	多変量一般化リッジ回帰におけるリッジパラメータ最適化のためのバイアス補正 Cp 規準
	応用統計学, Vol. 38 (3), 151-172.
[36]	Yamamura, M., & Yanagihara, H. (2009).
	Ordering municipalities by medical cost efficiency under the Japanese national health insurance system
	using the stochastic cost frontier model.
	Amer. J. Math. Management Sci., Vol. 29 (3-4), 371-392.
[37]	Yanagihara, H. & Satoh, K. (2010).
	An unbiased Cp criterion for multivariate ridge regression.
	J. Multivariate Anal., Vol. 101 (5), 1226-1238.
[38]	Srivastava, M. S. & Yanagihara, H. (2010).
	Testing the equality of several covariance matrices with fewer observations than the dimension.
	J. Multivariate Anal., Vol. 101 (6), 1319-1219.
[39]	Yamamura, M., Yanagihara, H. & Srivastava, M. S. (2010).
	Variable selection in multivariate linear regression models with fewer observations than the dimension.
	Japanes J. Appl. Statist., Vol. 39 (1), 1-19.
[40]	Satoh, K., Yanagihara, H. & Kamo, K. (2010).
	A robust estimation method for a growth curve model with balanced design.
	J. Stat., Adv. Theory Appl., Vol. 3 (2), 113-124.
[41]	吉本 敦 ・ 木島 真志 ・ �蛹ｴ 宏和 (2010).
	隣接空間制約による最適林分団地化パターンの探求.
	統計数理, Vol. 58 (1), 113-126.
[42]	Yanagihara, H., Himeno, T. & Yuan, K.-H. (2010).
	GLS discrepancy based information criteria for selecting covariance structure models.
	Behaviormetrika, Vol. 37 (2), 71-86.
[43]	冨田 哲治 ・ 佐藤 健一 ・ �蛹ｴ 宏和. (2010).
	空間データに対する交互作用モデルを用いた変化係数曲面の推測について.
	応用統計学, Vol. 39 (2-3), 59-70.
[44]	Satoh, K. & Yanagihara, H. (2010).
	Estimation of varying coefficients for a growth curve model.
	Amer. J. Math. Management Sci. (in press). Vol. 30 (3-4), 243-256.
[45]	Matsumoto, C., Yanagihara, H. & Wakaki, H. (2011).
	Improvement of the quality of the chi-square approximation for the ADF test on a covariance matrix
	with a linear structure.
	J. Statist. Plann. Inference, Vol. 141 (4), 1535-1542 .
[46]	Yanagihara, H., Kamo, K. & Tonda, T. (2011).
	Second-order bias-corrected AIC in multivariate normal linear models under nonnormality.
	Canad. J. Statist., Vol. 39 (1), 126-146.
[47]	Yanagihara, H. (2012).
	A non-iterative optimization method for smoothness in penalized spline regression.
	Stat. Comput., Vol. 22 (2), 527-544.
[48]	Yanagihara, H. & Fujisawa, H. (2012).
	Iterative bias correction of the cross-validation criterion.
	Scand. J. Stat. (in press).
[49]	Kamo, K., Yanagihara, H. & Satoh, K. (2012).
	Bias-corrected AIC for selecting variables in Poisson regression models.
	Comm. Statist. Theory Methods (in press).
[50]	Nagai, I., Yanagihara, H. & Satoh, K. (2012).
	Optimization of ridge parameters in multivariate generalized ridge regression by plug-in methods.
	Hiroshima math. J., Vol. 42 (in press).
[51]	Yanagihara, H., Kamo, K., Imori, S. & Satoh, K. (2012).
	Bias-corrected AIC for selecting variables in multinomial logistic regression models.
	Linear Algebra Appl. (in press).
	---著書---
[52]	�蛹ｴ 宏和 ・ 吉本 敦 ・ 能本 美穂 (2004).
	林分成長分析のための一般化非線形混合効果モデル.
	森林資源管理と数理モデル Vol. 3, -FORMATH TSUKUBA 2003-(鹿又秀聡・吉本敦 編), 14-46,
	森林計画学会出版局, 東京.
[53]	�蛹ｴ 宏和 ・ 吉本 敦 (2005).
	単純同齢林における林木成長パターンのクラスタリング.
	森林資源管理と数理モデル Vol. 4, -FORMATH NAGOYA 2004-(近藤洋史・吉本敦・松村直人 編), 49-70,
	森林計画学会出版局, 東京.
[54]	吉本 敦 ・ �蛹ｴ 宏和 ・ 能本 美穂 (2005).
	最適林分経営モデルによる間伐計画最適化と炭素吸収量.
	森林資源管理と数理モデル Vol. 4, -FORMATH NAGOYA 2004-(近藤洋史・吉本敦・松村直人 編), 71-92,
	森林計画学会出版局, 東京.
[55]	Yanagihara, H. & Yoshimoto, A. (2005).
	Statistical procedure for assessing the amount of carbon sequestrated by sugi (Cryptomeria japonica) plantation.
	In Multipurpose Inventory for the Aged Artificial Forest (eds. Y. Nobori, N. Takahashi & A. Yoshimoto), 125-140,
	Japan Society of Forest Planning Press, Utsunomiya.
[56]	�蛹ｴ 宏和 ・ 吉本 敦 ・ 二宮 嘉行 (2006).
	複数の成長パターンを持つスギ単純同齢林における炭素固定量予測.
	森林資源管理と数理モデル Vol. 5, -FORMATH KYOTO 2005-(吉本敦・近藤洋史・広嶋卓也 編), 63-83,
	森林計画学会出版局, 東京.
[57]	二宮 嘉行 ・ �蛹ｴ 宏和 ・ 吉本 敦 (2007).
	非正則な統計モデルに基づく林分成長分析.
	森林資源管理と数理モデル Vol. 6, -FORMATH KYUSHU 2006-(吉本敦・広嶋卓也・近藤洋史 編), 43-56,
	森林計画学会出版局, 東京.
[58]	�蛹ｴ 宏和 (2007).
	正規多変量線形モデルの変数選択.
	統計データ科学事典 (杉山高一・藤越康祝・杉浦成昭・国友直人 編集), 192-193, 朝倉書店, 東京.
[59]	�蛹ｴ 宏和 (2007).
	非正規性の下での多変量変数選択.
	統計データ科学事典 (杉山高一・藤越康祝・杉浦成昭・国友直人 編集), 194-195, 朝倉書店, 東京.
[60]	�蛹ｴ 宏和 (2007).
	その他の規準量での変数選択.
	統計データ科学事典 (杉山高一・藤越康祝・杉浦成昭・国友直人 編集), 196-197, 朝倉書店, 東京.
[61]	�蛹ｴ 宏和 (2007).
	次元縮小のための変数選択.
	統計データ科学事典 (杉山高一・藤越康祝・杉浦成昭・国友直人 編集), 198-199, 朝倉書店, 東京.
[62]	Yanagihara, H., Ninomiya, Y. & Yoshimoto, A. (2008).
	Analysis of grouped growth patterns in even-aged sugi forest stand within the framework of mixture model.
	森林資源管理と数理モデル Vol. 7, -FORMATH KOBE 2007-(eds. N. Sasaki & A. Yoshimoto), 39-60,
	森林計画学会出版局, 東京.
[63]	加茂 憲一 ・ �蛹ｴ 宏和 ・ 嘉戸 昭夫 ・ 吉本 敦 (2009).
	自然災害リスク評価のためのロジスティック回帰モデルと変数選択.
	森林資源管理と数理モデル Vol. 8, -FORMATH TOHOKU 2008-(FORMATH 研究会 編), 137-152,
	森林計画学会出版局, 東京.
[64]	Yamamura, M., Yanagihara, H. & Srivastava, M. S. (2010).
	Variable selection by Cp statistic in multiple responses regression with fewer sample size than the dimension.
	Knowledge-Based Intelligent Information and Engineering Systems: Lecture Notes in Computer Science,
	14th International Conference, KES 2010, Cardiff, Wales, UK, September 8-10, Proceedings, Part III
	(eds. R. Setchi et al.), 7-14, Springer, Heidelberg.
[65]	藤越 康祝 ・ 若木 宏文 ・ �蛹ｴ 宏和 (2011).
	確率・統計の数学的基礎.
	広島大学出版会, 広島.
	---紀要等---
[66]	高橋 綾 ・ �蛹ｴ 宏和 ・ 大瀧 慈 ・ 務中 昌己 (2000).
	生活科学としての健康科学, — 戸建て住宅の価格と環境条件に関するノンパラメトリック回帰分析 —.
	広島女学院大学生活科学部紀要, Vol. 7, 57-65.
[67]	Yanagihara, H., Yuan, K.-H., Fujisawa, H. & Hayashi, K. (2007).
	A class of model selection criteria based on cross-validation method.
	TR 07-01, Statistical Research Group, Hiroshima University, Hiroshima.
[68]	Yanagihara, H. & Yuan, K.-H. (2008).
	Edgeworth expansions of functions of the sample covariance matrix with an unknown population.
	TR 08-05, Statistical Research Group, Hiroshima University, Hiroshima.
[69]	Ninomiya, Y., Yanagihara, H. & Yuan, K.-H. (2008).
	Selecting the number of factors in exploratory factor analysis via locally conic parameterization.
	Research Memorandum No. 1078, The Institute of Statistical Mathematics, Tokyo.
[70]	Imori, S., Yanagihara, H. & Wakaki, H. (2011).
	General formula of bias-corrected AIC in generalized linear models.
	TR 11-06, Statistical Research Group, Hiroshima University, Hiroshima.
	---その他の論文---
[71]	磯山 真紀 ・ 纐纈 憲子 ・ �蛹ｴ 宏和.
	日本語留学 - その現実と問題点.
[72]	Kamada, A., Yanagihara, H. & Wakaki, H. (2011).
	Selecting a shrinkage parameter in structural equation modeling with a near singular covariance matrix
	by the GIC minimization method.

所属学会

日本統計学会 :	日本計量生物学会 :	The International Biometric Society :	日本行動計量学会 :
Psychometric Society :	日本応用統計学会 :	日本数学会 :	Statistical Society of Canada :

その他の活動

日本統計学会 75周年記念事業 若手委員　（2006年）

日本応用統計学会 誌編集委員　（2006年−2009年）

日本数学会 統計数学分科会 運営委員　（2009年−2012年）