hirokazu yanagihara

Last Updated :2018/01/04

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, Second Semester, Special Study of Mathematics and Informatics for Graduation
  2. 2017, Undergraduate Education, Second Semester, Computer-Aided Mathematics
  3. 2017, Undergraduate Education, First Semester, Advanced Mathematics
  4. 2017, Undergraduate Education, First Semester, Probability and Mathematical Statistics A
  5. 2017, Undergraduate Education, First Semester, Exercises in Probability and Mathematical Statistics A
  6. 2017, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  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