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doi:10.1016/0031-3203(86)90039-7 
Copyright © 1986 Published by Elsevier Science B.V.
Linear discrimination with symmetrical models
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Leon Bobrowski
Received 31 January 1985;
accepted 20 June 1985. ;
Available online 19 May 2003.
Abstract
An alternative approach to Fisher's method of linear discrimination is examined. The quality criterion used in the examined method is sometimes called the perceptron criterion function. Just as the Bayesian optimality of the Fisher method is connected with assumptions about normality of the populations, the optimality of the examined method is connected with some symmetry conditions. The main subject of the paper is the analysis of these optimal conditions. Examples of the probability models which satisfy the conditions of optimality are also given.
Author Keywords: Linear discrimination; Perceptron criterion function; Optimal conditions; Symmetrical models
