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Results in statistical discriminant analysis: a review of the former Soviet Union literature

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  • Raudys, Sarunas
  • Young, Dean M.

Abstract

Much work in discriminant analysis and statistical pattern recognition has been performed in the former Soviet Union. However, most results derived by former Soviet Union researchers are unknown to statisticians and statistical pattern recognition researchers in the West. We attempt to give a succinct overview of important contributions by Soviet Block researchers to several topics in the discriminant analysis literature concerning the small training-sample size problem. We also include a partial review of corresponding work done in the West.

Suggested Citation

  • Raudys, Sarunas & Young, Dean M., 2004. "Results in statistical discriminant analysis: a review of the former Soviet Union literature," Journal of Multivariate Analysis, Elsevier, vol. 89(1), pages 1-35, April.
    • Handle: RePEc:eee:jmvana:v:89:y:2004:i:1:p:1-35
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    References listed on IDEAS

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    1. Loh, W. L., 1995. "On Linear Discriminant Analysis with Adaptive Ridge Classification Rules," Journal of Multivariate Analysis, Elsevier, vol. 53(2), pages 264-278, May.
    2. Rayens, William & Greene, Tom, 1991. "Covariance pooling and stabilization for classification," Computational Statistics & Data Analysis, Elsevier, vol. 11(1), pages 17-42, January.
    3. Fujikoshi, Yasunori, 2000. "Error Bounds for Asymptotic Approximations of the Linear Discriminant Function When the Sample Sizes and Dimensionality are Large," Journal of Multivariate Analysis, Elsevier, vol. 73(1), pages 1-17, April.
    4. H. Linhart, 1959. "Techniques for discriminant analysis with discrete variables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 2(1), pages 138-149, December.
    5. Loh, Wei-Liem, 1997. "Linear Discrimination with Adaptive Ridge Classification Rules," Journal of Multivariate Analysis, Elsevier, vol. 62(2), pages 169-180, August.
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    Cited by:

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    2. Sakurai, Tetsuro, 2009. "Asymptotic expansions of test statistics for dimensionality and additional information in canonical correlation analysis when the dimension is large," Journal of Multivariate Analysis, Elsevier, vol. 100(5), pages 888-901, May.
    3. Mansoor Sheikh & A. C. C. Coolen, 2020. "Accurate Bayesian Data Classification Without Hyperparameter Cross-Validation," Journal of Classification, Springer;The Classification Society, vol. 37(2), pages 277-297, July.
    4. Fujikoshi, Yasunori & Sakurai, Tetsuro, 2009. "High-dimensional asymptotic expansions for the distributions of canonical correlations," Journal of Multivariate Analysis, Elsevier, vol. 100(1), pages 231-242, January.

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