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

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.Plug-in statistical classifiers Asymptotic error-rate approximations Regularized discriminant analysis Nonparametric statistical classifiers Nonparametric error rate estimation Feature subset selection