hirokazu yanagihara

Last Updated :2017/11/01

Affiliations, Positions
Graduate School of Science, ., Professor
E-mail
yanagi-hirohiroshima-u.ac.jp

Basic Information

Major Professional Backgrounds

  • 2001/04/01, 2003/03/31, The Institute of Statistical Mathematics, Department of Statistical Methodology, Division of Multidimensional Analysis , Assistant Professor
  • 2003/04/01, 2006/06/30, University of Tsukuba, Department of Social System and Management, Graduate School of Systems and Information Engineering , Assistant Professor

Educational Backgrounds

  • Hiroshima University, Graduate School of Science, Department of Mathematics, Japan, 1998/04, 2001/03

Academic Degrees

  • Doctor of Science, Hiroshima University

Research Fields

  • Informatics;Principles of Informatics;Statistical science

Research Keywords

  • Bias correction
  • Nonnormality
  • Sample Distribution

Affiliated Academic Societies

  • The International Biometric Society, 2003/04
  • The International Psychometric Society, 2004/04
  • Japanese Society of Applied Statistics, 2006/04
  • Mathematical Society of Japan, 2006/07
  • Japan Statistical Society, 1997/04
  • The Behaviormetric Society of Japan, 2004/04
  • The Biometric Society of Japan, 2001/04
  • Statistical Society of Canada, 2010/04

Educational Activity

Course in Charge

  1. 2017, Undergraduate Education, First Semester, Probability and Mathematical Statistics A
  2. 2017, Undergraduate Education, First Semester, Exercises in Probability and Mathematical Statistics A
  3. 2017, Undergraduate Education, First Semester, Advanced Mathematics
  4. 2017, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  5. 2017, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  6. 2017, Undergraduate Education, Second Semester, Computer-Aided Mathematics
  7. 2017, Graduate Education (Master's Program) , First Semester, Seminar in Mathematics
  8. 2017, Graduate Education (Master's Program) , Second Semester, Seminar in Mathematics
  9. 2017, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics
  10. 2017, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics
  11. 2017, Graduate Education (Master's Program) , Second Semester, Topics in Probability and Mathematical Statistics B
  12. 2017, Graduate Education (Master's Program) , Second Semester, Computer Aided Mathematics
  13. 2017, Graduate Education (Master's Program) , First Semester, Seminar of Mathematical Statistics
  14. 2017, Graduate Education (Master's Program) , Second Semester, Seminar of Mathematical Statistics
  15. 2017, Graduate Education (Doctoral Program) , First Semester, Seminar in Mathematics
  16. 2017, Graduate Education (Doctoral Program) , Second Semester, Seminar in Mathematics

Research Activities

Academic Papers

  1. Asymptotic expansion of the null distribution of one-way ANOVA test statistic for heteroscedastic case under nonnormality, Communications in Statistics Theory and Methods, 29(2), 463-476, 2000
  2. Asymptotic expansions of the null distributions of test statistics for multivariate linear hypothesis under nonnormality, Hiroshima Mathematical Journal, 32(1), 17-50, MAR 2002
  3. Adjustment on an asymptotic expansion of the distribution function with chi-squared approximation, Hiroshima Mathematical Journal, 33(1), 15-25, MAR 2003
  4. Bridging the gap between B-spline and polynomial regression model, Communications in Statistics Simulation and Computation, 32(1), 179-190, APR 2003
  5. Corrected versions of cross-validation criteria for selecting multivariate regression and growth curve models, Annals of the Institute of Statistical Mathematics, 55(3), 537-553, APR 2003
  6. Bias correction of AIC in logistic regression models, Journal of Statistical Planning and Inference, 115(2), 349-360, AUG 1 2003
  7. A family of regression models having partially additive and multiplicative covariate structure, Bulletin of Informatics and Cybernetics, 37, 49-64, APR 2005
  8. Bias corrections of some criteria for selecting multivariate linear models in a general nonnormal case., American Journal of Mathematical and Management Sciences, 25(1), 221-268, 20050501
  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(2), 237-264, OCT 2005
  10. Corrected version of AIC for selecting mulrivariate normal linear regression models in a general nonnormal case, Journal of Multivariate Analysis, 97(9), 1965-1975, 20060501
  11. Bias correction of cross-validation criterion based on Kullback-Leibler information under a general condition, Journal of Multivariate Analysis, 97(9), 1965-1975, OCT 2006
  12. A mathematical estimation of true cancer incidence using data from population-based cancer registries, Japan Journal of Clinical Oncology, 37(2), 150-155, JAN 2007
  13. A family of estimators for multivariate kurtosis in a nonnormal linear regression model, Journal of Multivariate Analysis, 98(1), 1-29, JAN 2007
  14. Conditions for robustness to nonnormality on test statistics in a GMANOVA model, Journal of the Japan Statistical Society, 37(1), 261-281, 20070601
  15. A class of population covariance matrices in the bootstrap approach to covariance structure analysis, Multivariate Behavioral Research, 42(2), 261-281, 20070901
  16. Probability estimation of snow damage on sugi (Cryptomeria japonica) forest stands by logistic regression model in Toyama prefecture, Japan., Journal of Forest Science, 24(3), 137-142, 20081201
  17. Economic analysis of snow damage on sugi (Cryptomeria japonica) forest stands in Japan within the forest stand optimization framework, Journal of Forest Science, 24(3), 143-149, 20081201
  18. 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(3-4), 371-392, 20091201
  19. Variable selection in multivariate linear regression models with fewer observations than the dimension, Japanese Journal of Applied Statistics, 39(1), 1-19, 20100401
  20. Testing the equality of several covariance matrices with fewer observations than the dimension, Journal of Multivariate Analysis, 101(6), 1319-1329, JUL 2010
  21. Second-order bias-corrected AIC in multivariate normal linear models under nonnormality, The Canadian Journal of Statistics, 39(1), 126-146, 20110201
  22. 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(4), 1535-1542, APR 2011
  23. A non-iterative optimization method for smoothness in penalized spline regression, Statistics and Computing, 22(2), 527-544, MAR 2012
  24. Iterative bias correction of the cross-validation criterion, Scandinavian Journal of Statistics, 39(1), 116-130, MAR 2012
  25. Bias-corrected AIC for selecting variables in multinomial logistic regression models, Linear Algebra and Its Applications, 436(11), 4329-4341, JUN 2012
  26. Optimization of ridge parameters in multivariate generalized ridge regression by plug-in methods, Hiroshima Mathematical Journal, 42(3), 301-324, NOV 2012
  27. Bias-Corrected AIC for Selecting Variables in Poisson Regression Models, Communications in Statistics Theory and Methods, 42(11), 1911-1921, JUN 2013
  28. A class of cross-validatory model selection criteria, Hiroshima Mathematical Journal, 43(2), 149-177, JUL 2013
  29. Simple formula for calculating bias-corrected AIC in generalized linear models, Scandinavian Journal of Statistics, 41(2), 535-555, JUN 2014
  30. Jackknife bias correction of the AIC for selecting variables in canonical correlation analysis under model misspecification, Linear Algebra and Its Applications, 455, 82-106, AUG 2014
  31. Selecting a shrinkage parameter in structural equation modeling with a near singular covariance matrix by the GIC minimization method, Hiroshima Mathematical Journal, 44(3), 315-326, NOV 2014
  32. Consistency of high-dimensional AIC-type and Cp-type criteria in multivariate linear regression, Journal of Multivariate Analysis, 123, 184-200, JAN 2014
  33. Empirical correction to the likelihood ratio statistic for structural equation modeling with many variables, Psychometrika, 80(2), 379-405, JUN 2015
  34. 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(1), 869-897, 2015
  35. A high-dimensionality-adjusted consistent Cp-type statistic for selecting variables in a normality-assumed linear regression with multiple responses, Procedia Computer Science, 96, 1096-1105, 2016
  36. Canonical correlation analysis for geographical and chronological responses, Procedia Computer Science, 96(96), 1351-1360, 2016
  37. 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(3), 299-332, JUL 2017

Invited Lecture, Oral Presentation, Poster Presentation

  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, 2016/09/06, With Invitation
  2. What is statistics?, Hirokazu Yanagihara, 2016/10/21, With Invitation