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American Journal of Mathematical and Management Sciences Volume 7, 1987 - Issue 1-2
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Original Articles

The Multivariate Heteroscedastic Method: Distributions of Statistics and an Application

Hiroto HyakutakeHiroshima University Hiroshima 730, Japan
&
Minoru SiotaniScience University of TokyoShinjuku, Tokyo162, Japan
Pages 89-111 | Published online: 14 Aug 2013

  • ChatterjeeS. K. (1959). On an extension of Stein's two-sample procedure to multi-normal problem. Culcutta Statistical Association, Bulletin, 8, 121–148.
  • DudewiczE. J., and BishopT. A. (1979). The heteroscedastic method. Optimizing Methods in Statistics (RustagiJ. S., ed.), Academic Press, New York, 183–203.
  • DudewiczE. J., and TanejaV. S. (1984). The heteroscedastic method: multivariate implementation. Technical Report No.S-21, Department of Mathematics, Syracuse University, SyracuseNew York.
  • FisherR. A. (1936). The use of multiple measurements in taxonomic problem. Annals of Eugenics, 7, 179–188.
  • HyakutakeH. (1985). A construction method of certain matrices required in the multivariate heteroscedastic method. Technical Report No. 149, Statistical Research Group, Hiroshima University, HiroshimaJapan.
  • HyakutakeH., SiotaniM., LiChu-yu, and Mustafid (1984). Distributions of some statistics in heteroscedastic inference method II: Tables of percentage points and power functions. Technical Report No. 142, Statistical Research Group, Hiroshima University, HiroshimaJapan.
  • JamesG. S. (1954). Tests of linear hypotheses in univariate and multivariate analysis when the ratios of the population variances are unknown. Biometrika, 41, 19–43.
  • SiotaniM. (1975). Asymptotic expansions for the nonnull distributions of the multivariate test statistics. Modern Course on Statistical Distributions in Scientific Work, Volume 1 (PatilG. P., KotzS., and OrdJ. K., eds.), Reidel, Holland, 299–317.
  • SiotaniM., HayakawaT., and FujikoshiY. (1985). Modern Multivariate Statistical Analysis: A Graduate Course and Handbook. American Sciences Press, Inc., ColumbusOhio.
  • SteinC. (1945). A two-sample test for a linear hypothesis whose power is independent of the variance. Annals of Mathematical Statistics, 16, 243–258.

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