Nakagawa, Tomoyuki; Wakaki, Hirofumi Selection of the linear and the quadratic discriminant functions when the difference between two covariance matrices is small. (English) Zbl 1395.62168 J. Jpn. Stat. Soc. 47, No. 2, 145-165 (2017). MSC: 62H30 PDFBibTeX XMLCite \textit{T. Nakagawa} and \textit{H. Wakaki}, J. Jpn. Stat. Soc. 47, No. 2, 145--165 (2017; Zbl 1395.62168) Full Text: DOI
Tonda, Tetsuji; Nakagawa, Tomoyuki; Wakaki, Hirofumi EPMC estimation in discriminant analysis when the dimension and sample sizes are large. (English) Zbl 1365.62250 Hiroshima Math. J. 47, No. 1, 43-62 (2017). MSC: 62H30 62F12 PDFBibTeX XMLCite \textit{T. Tonda} et al., Hiroshima Math. J. 47, No. 1, 43--62 (2017; Zbl 1365.62250) Full Text: Euclid
Inatsu, Yu; Wakaki, Hirofumi Asymptotic expansions of the null distribution of the LR test statistic for random-effects covariance structure in a parallel profile model. (English) Zbl 1395.62132 J. Jpn. Stat. Soc. 46, No. 1, 51-79 (2016). MSC: 62H15 62E20 PDFBibTeX XMLCite \textit{Y. Inatsu} and \textit{H. Wakaki}, J. Jpn. Stat. Soc. 46, No. 1, 51--79 (2016; Zbl 1395.62132) Full Text: DOI
Wakaki, Hirofumi; Fujikoshi, Yasunori; Ulyanov, Vladimir V. Asymptotic expansions of the distributions of MANOVA test statistics when the dimension is large. (English) Zbl 1308.62114 Hiroshima Math. J. 44, No. 3, 247-259 (2014). MSC: 62H10 62E20 PDFBibTeX XMLCite \textit{H. Wakaki} et al., Hiroshima Math. J. 44, No. 3, 247--259 (2014; Zbl 1308.62114) Full Text: Euclid
Shimizu, Hiroaki; Wakaki, Hirofumi Asymptotic expansions for a class of tests for a general covariance structure under a local alternative. (English) Zbl 1274.62387 J. Multivariate Anal. 102, No. 6, 1080-1089 (2011). MSC: 62H15 62E20 PDFBibTeX XMLCite \textit{H. Shimizu} and \textit{H. Wakaki}, J. Multivariate Anal. 102, No. 6, 1080--1089 (2011; Zbl 1274.62387) Full Text: DOI
Matsumoto, C.; Yanagihara, H.; Wakaki, H. Improvement of the quality of the chi-square approximation for the ADF test on a covariance matrix with a linear structure. (English) Zbl 1204.62080 J. Stat. Plann. Inference 141, No. 4, 1535-1542 (2011). MSC: 62G10 62G20 62H15 65C60 PDFBibTeX XMLCite \textit{C. Matsumoto} et al., J. Stat. Plann. Inference 141, No. 4, 1535--1542 (2011; Zbl 1204.62080) Full Text: DOI
Akita, Tomoyuki; Jin, Jinghua; Wakaki, Hirofumi High-dimensional Edgeworth expansion of a test statistic on independence and its error bound. (English) Zbl 1190.62022 J. Multivariate Anal. 101, No. 8, 1806-1813 (2010). MSC: 62E20 62H10 65C60 PDFBibTeX XMLCite \textit{T. Akita} et al., J. Multivariate Anal. 101, No. 8, 1806--1813 (2010; Zbl 1190.62022) Full Text: DOI
Wakaki, Hirofumi; Aoshima, Makoto Optimal discriminant functions for normal populations. (English) Zbl 1151.62057 J. Multivariate Anal. 100, No. 1, 58-69 (2009). MSC: 62H30 62E20 65C60 PDFBibTeX XMLCite \textit{H. Wakaki} and \textit{M. Aoshima}, J. Multivariate Anal. 100, No. 1, 58--69 (2009; Zbl 1151.62057) Full Text: DOI Link
Fujikoshi, Yasunori; Yanagihara, Hirokazu; Wakaki, Hirofumi Bias corrections of some criteria for selecting multivariate linear models in a general nonnormal case. (English) Zbl 1151.62338 Am. J. Math. Manage. Sci. 25, No. 3-4, Spec. Iss., 221-258 (2005). MSC: 62J05 62H10 62E20 62F40 65C60 PDFBibTeX XMLCite \textit{Y. Fujikoshi} et al., Am. J. Math. Manage. Sci. 25, No. 3--4, 221--258 (2005; Zbl 1151.62338) Full Text: DOI
Wakaki, Hirofumi; Yanagihara, Hirokazu; Fujikoshi, Yasunori Asymptotic expansions of the null distributions of test statistics for multivariate linear hypothesis under nonnormality. (English) Zbl 0995.62014 Hiroshima Math. J. 32, No. 1, 17-50 (2002). MSC: 62E20 62H15 62H10 65C60 PDFBibTeX XMLCite \textit{H. Wakaki} et al., Hiroshima Math. J. 32, No. 1, 17--50 (2002; Zbl 0995.62014)
Wakaki, Hirofumi Asymptotic expansion of the joint distribution of sample mean vector and sample covariance matrix from an elliptical population. (English) Zbl 0890.62011 Hiroshima Math. J. 27, No. 2, 295-305 (1997). MSC: 62E20 62H10 PDFBibTeX XMLCite \textit{H. Wakaki}, Hiroshima Math. J. 27, No. 2, 295--305 (1997; Zbl 0890.62011)
Wakaki, Hirofumi Discriminant analysis under elliptical populations. (English) Zbl 0806.62048 Hiroshima Math. J. 24, No. 2, 257-298 (1994). Reviewer: V.J.Urbakh (Moskva) MSC: 62H30 62F35 PDFBibTeX XMLCite \textit{H. Wakaki}, Hiroshima Math. J. 24, No. 2, 257--298 (1994; Zbl 0806.62048)
Wakaki, Hirofumi; Eguchi, Shinto; Fujikoshi, Yasunori A class of tests for a general covariance structure. (English) Zbl 0689.62039 J. Multivariate Anal. 32, No. 2, 313-325 (1990). MSC: 62H10 62E20 62H15 PDFBibTeX XMLCite \textit{H. Wakaki} et al., J. Multivariate Anal. 32, No. 2, 313--325 (1990; Zbl 0689.62039) Full Text: DOI
Wakaki, Hirofumi; Oh, Ho-Se Asymptotic expansion for the distribution of the discriminant function in the first order autoregressive processes. (English) Zbl 0615.62075 Hiroshima Math. J. 16, 625-629 (1986). MSC: 62H30 62M10 62E20 PDFBibTeX XMLCite \textit{H. Wakaki} and \textit{H.-S. Oh}, Hiroshima Math. J. 16, 625--629 (1986; Zbl 0615.62075)