柳原 宏和hirokazu yanagihara

Last Updated :2022/08/02

所属・職名
大学院先進理工系科学研究科 教授
メールアドレス
yanagi-hirohiroshima-u.ac.jp

基本情報

主な職歴

  • 2003年04月01日, 2006年06月30日, 筑波大学, 大学院システム情報工学研究科 社会システム・マネジメント専攻, 講師
  • 2001年04月01日, 2003年03月31日, 統計数理研究所, 調査実験解析研究系 多次元解析研究部門, 助手

学歴

  • 広島大学, 理学研究科, 数学専攻, 日本, 1998年04月, 2001年03月

学位

  • 博士(理学) (広島大学)

研究分野

  • 情報学 / 情報学基礎 / 統計科学

研究キーワード

  • バイアス補正
  • 非正規性
  • 標本分布

所属学会

  • 国際計量生物学会, 2003年04月
  • 国際計量心理学会, 2004年04月
  • 日本応用統計学会, 2006年04月
  • 日本数学会, 2006年07月
  • 日本統計学会, 1997年04月
  • 日本行動計量学会, 2004年04月
  • 日本計量生物学会, 2001年04月
  • カナダ統計学会, 2010年04月

教育活動

授業担当

  1. 2022年, 教養教育, 4ターム, データサイエンス基礎
  2. 2022年, 修士課程・博士課程前期, 4ターム, データリテラシー
  3. 2022年, 修士課程・博士課程前期, 2ターム, データリテラシー
  4. 2022年, 博士課程・博士課程後期, 3ターム, データサイエンス
  5. 2022年, 学部専門, 2ターム, 数理統計学概論
  6. 2022年, 学部専門, セメスター(前期), 数学情報課題研究
  7. 2022年, 学部専門, セメスター(後期), 数学情報課題研究
  8. 2022年, 学部専門, 1ターム, 推測統計学
  9. 2022年, 修士課程・博士課程前期, 2ターム, 数学概論
  10. 2022年, 修士課程・博士課程前期, 年度, 数理統計学セミナー
  11. 2022年, 修士課程・博士課程前期, 年度, 数理統計学セミナー
  12. 2022年, 修士課程・博士課程前期, 1ターム, 確率統計基礎講義B
  13. 2022年, 修士課程・博士課程前期, 4ターム, 確率統計特論B
  14. 2022年, 修士課程・博士課程前期, 年度, 数学演習
  15. 2022年, 修士課程・博士課程前期, セメスター(前期), 数学特別演習A
  16. 2022年, 修士課程・博士課程前期, セメスター(後期), 数学特別演習B
  17. 2022年, 修士課程・博士課程前期, 年度, 数学特別研究
  18. 2022年, 博士課程・博士課程後期, 年度, 数学特別研究

研究活動

学術論文(★は代表的な論文)

  1. Bias-corrected AIC for selecting variables in multinomial logistic regression models, Linear Algebra and Its Applications, 436巻, 11号, pp. 4329-4341, 201206
  2. Optimization of ridge parameters in multivariate generalized ridge regression by plug-in methods, Hiroshima Mathematical Journal, 42巻, 3号, pp. 301-324, 201211
  3. Bias-Corrected AIC for Selecting Variables in Poisson Regression Models, Communications in Statistics Theory and Methods, 42巻, 11号, pp. 1911-1921, 201306
  4. Adjustment on an asymptotic expansion of the distribution function with chi-squared approximation, Hiroshima Mathematical Journal, 33巻, 1号, pp. 15-25, 200303
  5. Asymptotic expansion of the null distribution of the modified normal likelihood ratio criterion for testing Σ=Σ0 under nonnormality, Hiroshima Mathematical Journal, 34巻, 1号, pp. 81-100, 200403
  6. Bridging the gap between B-spline and polynomial regression model, Communications in Statistics Simulation and Computation, 32巻, 1号, pp. 179-190, 200304
  7. Corrected versions of cross-validation criteria for selecting multivariate regression and growth curve models, Annals of the Institute of Statistical Mathematics, 55巻, 3号, pp. 537-553, 200304
  8. A family of regression models having partially additive and multiplicative covariate structure, Bulletin of Informatics and Cybernetics, 37巻, pp. 49-64, 200504
  9. The effects of nonnormality on asymptotic distributions of some likelihood ratio criteria for testing covariance structures under normal assumption, Journal of Multivariate Analysis, 96巻, 2号, pp. 237-264, 200510
  10. ★, Bias correction of cross-validation criterion based on Kullback-Leibler information under a general condition, Journal of Multivariate Analysis, 97巻, 9号, pp. 1965-1975, 200610
  11. Asymptotic expansions of the null distributions of test statistics for multivariate linear hypothesis under nonnormality, Hiroshima Mathematical Journal, 32巻, 1号, pp. 17-50, 200203
  12. A mathematical estimation of true cancer incidence using data from population-based cancer registries, Japan Journal of Clinical Oncology, 37巻, 2号, pp. 150-155, 200701
  13. ★, A family of estimators for multivariate kurtosis in a nonnormal linear regression model, Journal of Multivariate Analysis, 98巻, 1号, pp. 1-29, 200701
  14. ★, Conditions for robustness to nonnormality on test statistics in a GMANOVA model, Journal of the Japan Statistical Society, 37巻, 1号, pp. 261-281, 20070601
  15. A class of population covariance matrices in the bootstrap approach to covariance structure analysis, Multivariate Behavioral Research, 42巻, 2号, pp. 261-281, 20070901
  16. 「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, 55巻, 1号, pp. 125-142, 200706
  17. ★, Corrected version of AIC for selecting mulrivariate normal linear regression models in a general nonnormal case, Journal of Multivariate Analysis, 97巻, 9号, pp. 1965-1975, 20060501
  18. Bias corrections of some criteria for selecting multivariate linear models in a general nonnormal case., American Journal of Mathematical and Management Sciences, 25巻, 1号, pp. 221-268, 20050501
  19. Probability estimation of snow damage on sugi (Cryptomeria japonica) forest stands by logistic regression model in Toyama prefecture, Japan., Journal of Forest Science, 24巻, 3号, pp. 137-142, 20081201
  20. Economic analysis of snow damage on sugi (Cryptomeria japonica) forest stands in Japan within the forest stand optimization framework, Journal of Forest Science, 24巻, 3号, pp. 143-149, 20081201
  21. 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, 38巻, 1号, pp. 19-28, 20090301
  22. Second-order bias-corrected AIC in multivariate normal linear models under nonnormality, The Canadian Journal of Statistics, 39巻, 1号, pp. 126-146, 20110201
  23. 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, 39巻, 2-3号, pp. 59-70, 20101201
  24. Variable selection in multivariate linear regression models with fewer observations than the dimension, Japanese Journal of Applied Statistics, 39巻, 1号, pp. 1-19, 20100401
  25. Ordering municipalities by medical cost efficiency under the Japanese national health insurance system using the stochastic cost frontier model, American Journal of Mathematical and Management Sciences, 29巻, 3-4号, pp. 371-392, 20091201
  26. Asymptotic expansion of the null distribution of one-way ANOVA test statistic for heteroscedastic case under nonnormality, Communications in Statistics Theory and Methods, 29巻, 2号, pp. 463-476, 2000
  27. Bias correction of AIC in logistic regression models, Journal of Statistical Planning and Inference, 115巻, 2号, pp. 349-360, 20030801
  28. Testing the equality of several covariance matrices with fewer observations than the dimension, Journal of Multivariate Analysis, 101巻, 6号, pp. 1319-1329, 201007
  29. Improvement of the quality of the chi-square approximation for the ADF test on a covariance matrix with a linear structure, Journal of Statistical Planning and Inference, 141巻, 4号, pp. 1535-1542, 201104
  30. A non-iterative optimization method for smoothness in penalized spline regression, Statistics and Computing, 22巻, 2号, pp. 527-544, 201203
  31. Iterative bias correction of the cross-validation criterion, Scandinavian Journal of Statistics, 39巻, 1号, pp. 116-130, 201203
  32. A class of cross-validatory model selection criteria, Hiroshima Mathematical Journal, 43巻, 2号, pp. 149-177, 201307
  33. Simple formula for calculating bias-corrected AIC in generalized linear models, Scandinavian Journal of Statistics, 41巻, 2号, pp. 535-555, 201406
  34. Jackknife bias correction of the AIC for selecting variables in canonical correlation analysis under model misspecification, Linear Algebra and Its Applications, 455巻, pp. 82-106, 201408
  35. Selecting a shrinkage parameter in structural equation modeling with a near singular covariance matrix by the GIC minimization method, Hiroshima Mathematical Journal, 44巻, 3号, pp. 315-326, 201411
  36. Consistency of high-dimensional AIC-type and Cp-type criteria in multivariate linear regression, Journal of Multivariate Analysis, 123巻, pp. 184-200, 201401
  37. Empirical correction to the likelihood ratio statistic for structural equation modeling with many variables, Psychometrika, 80巻, 2号, pp. 379-405, 201506
  38. A consistency property of the AIC for multivariate linear models when the dimension and the sample size are large, The Electronic Journal of Statistics, 9巻, 1号, pp. 869-897, 2015
  39. Temporal and geographical variation in body condition of common minke whales (Balaenoptera acutorostrata acutorostrata) in the Northeast Atlantic, Polar Biology, 40巻, 3号, pp. 667-683, 201703
  40. High-dimensional asymptotic behavior of the difference between the log-determinants of two Wishart matrices, Journal of Multivariate Analysis, 157巻, pp. 70-86, 201705
  41. A high-dimensionality-adjusted consistent Cp-type statistic for selecting variables in a normality-assumed linear regression with multiple responses, Procedia Computer Science, 96巻, pp. 1096-1105, 2016
  42. Canonical correlation analysis for geographical and chronological responses, Procedia Computer Science, 96巻, 96号, pp. 1351-1360, 2016
  43. A study on the bias-correction effect of the AIC for selecting variables in normal multivariate linear regression models under model misspecification, REVSTAT Statistical Journal, 15巻, 3号, pp. 299-332, 201707
  44. Illustration of the Varying Coefficient Model for a Tree Growth Analysis from the Age and Space Perspectives, FORMATH, 15巻, pp. 1-9, 2016
  45. Explicit solution to the minimization problem of generalized cross-validation criterion for selecting ridge parameters in generalized ridge regression, Hiroshima Mathematical Journal, 48巻, 2号, pp. 203-222, 201807
  46. Asymptotic null and non-null distributions of test statistics for redundancy in high-dimensional canonical correlation analysis, Random Matrices-Theory and Applications, 8巻, 1号, 201901
  47. Asymptotic approximations of the null distribution of the one-way ANOVA test statistic under nonnormality, Journal of the Japan Statistical Society, 29巻, 2号, pp. 147-161, 1999
  48. Asymptotic expansions of the null distributions of three test statistics in a nonnormal GMANOVA model, Hiroshima Mathematical Journal, 31巻, 2号, pp. 213-262, 2001
  49. A fast algorithm for optimizing ridge parameters in a generalized ridge regression by minimizing a model selection criterion, Journal of Statistical Planning and Inference, 204巻, pp. 187-205, 202001
  50. A consistent variable selection method in high-dimensional canonical discriminant analysis, Journal of Multivariate Analysis, 175巻, 202001
  51. A fast and consistent variable selection method for high-dimensional multivariate linear regression with a large number of explanatory variables, ELECTRONIC JOURNAL OF STATISTICS, 14巻, 1号, pp. 1386-1412, 2020
  52. Equivalence between adaptive Lasso and generalized ridge estimators in linear regression with orthogonal explanatory variables after optimizing regularization parameters, ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 72巻, 6号, pp. 1501-1516, 202012
  53. Strong Consistency of Log-Likelihood-Based Information Criterion in High-Dimensional Canonical Correlation Analysis, SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY, 83巻, 1号, pp. 109-127, 202102

招待講演、口頭・ポスター発表等

  1. A high-dimensionality-adjusted consistent Cp-type statistic for selecting variables in a normality-assumed linear regression with multiple responses, Hirokazu Yanagihara, 20th International Conference on Knowledge-Based and Intelligent Information & Engineering Systems, 2016年09月06日, 招待, 英語
  2. 統計学って何?, 栁原宏和, 第68回広島県算数・数学教育研究(東広島)大会, 2016年10月21日, 招待, 日本語