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On a distributionfree method in discriminant analysis
Authors:
K. Fischer a;
Chr Thiele b
| Affiliations: | a Sektion Mathematik, Humboldt-Universit t, Berlin, GDR |
b Zentralinstitut f r Herz- und Kreislauf-Regulationsforschung, Berlin-Buch, GDR |
DOI:
10.1080/02331887908801484
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
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(English)
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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.
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| Keywords: Discriminant analysis; most unfavourable probability of misclassification; BAYESian rule; minimax rule |
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