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On a distributionfree method in discriminant analysis
Authors:K Fischer  Chr Thiele
Institution:1. Sektion Mathematik , Humboldt-Universit?t , Postfach 1297, Berlin, GDR, DDR-1086;2. Zentralinstitut für Herz- und Kreislauf-Regulationsforschung , Berlin-Buch, GDR, DDR-1115
Abstract:Linear discriminant rules for two symmetrical distributions, which only need the first and second moments of these distributions, are presented. The rules are based on Zhezhel's idea using the most unfavourable probabilities of misclassification as an optimality criterion. Also a rule is considered which deals with distributions differing in a location and scale parameter.
Keywords:Discriminant analysis  most unfavourable probability of misclassification  BAYESian rule  minimax rule
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