Discriminant Analysis When the Sample is Finite and the Feature Space Dimension Increases

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Previous article Next article Discriminant Analysis When the Sample is Finite and the Feature Space Dimension IncreasesS. V. SemivskiiS. V. Semivskiihttps://doi.org/10.1137/1132076PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. D. Deev, Representation of statistics of discriminant analysis and asymptotic expansions when space dimensions are comparable to sample size, Soviet Math. Dokl., 11 (1970), 1547–1552 0236.62044 Google Scholar[2] D. D. Meshalkin and , V. I. Serdobol'skii, Errors in the classification of multi-variate observations, Theory Probab. Appl., 23 (1978), 741–750 10.1137/1123090 0451.62045 LinkGoogle Scholar[3] V. S. Korolyuk, Handbook on Probability Theory and Mathematical Statistics, Naukova Dumka, Kiev, 1978, (In Russian.) Google Scholar[4] B. Chandrasekaran and , A. Jain, Independence, measurement complexity, and classification performance, IEEE Trans. Systems Man Cybernet., SMC-5 (1975), 240–244 58:32051a 0298.68066 CrossrefGoogle Scholar[5] John W. Van Ness, Dimensionality and classification performance with independent coordinates, IEEE Trans. Systems Man Cybernet., SMC-7 (1977), 560–564 58:8573 0359.62047 Google Scholar[6] Willem Schaafsma and , Ton Steerneman, Discriminant analysis when the number of features is unbounded, IEEE Trans. Systems Man Cybernet., 11 (1981), 144–151 82k:92075 0477.62044 CrossrefGoogle Scholar[7] L. N. Bol'shev and , N. V. Smirnov, Tables of Mathematical Statistics, Nauka, Moscow, 1968, (In Russian.) Google Scholar[8] T. W. Anderson, An introduction to multivariate statistical analysis, Wiley Publications in Statistics, John Wiley & Sons Inc., New York, 1958xii+374 19,992a 0083.14601 Google Scholar[9] Peter Lancaster, Theory of matrices, Academic Press, New York, 1969xii+316 39:6885 0186.05301 Google Scholar[10] A. Ludwig, On the asymptotic distribution of the eigenvalues of random matrices, J. Math. Anal. Appl., 20 (1967), 262–268 10.1016/0022-247X(67)90089-3 36:922 0246.60029 CrossrefGoogle Scholar[11] A. Bikyalis, Estimate of the remainder term in the central limit theorem, Lit. Mat. Sb., 6 (1966), 323–346, (In Russian.) Google Scholar[12] S. V. Semovskii, Two problems in discriminant analysis, II Vilnius Conference on Probability Theory and Mathematical Statistics, Abstracts, Vol. 2, Vol. 2, Lith. Acad. Sci. Inst. Math. and Physics, 2, 1977, 153–156, (In Russian.) Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Volume 32, Issue 3| 1988Theory of Probability & Its Applications History Submitted:02 April 1985Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1132076Article page range:pp. 521-525ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics