Discrimination Based on the Atypicity Index versus Density Function Ratio
We propose a method of discrimination, based on the atypicity index and the density function. After a short survey of the atypicity index, we show that the presence of “critical regions”, when we apply the bayesian quadratic discrimination, under some hypotheses, leads to misclassifications. The performance of the proposed method versus quadratic and linear discrimination is assessed via simulation. It is generally shown that the discrimination based on the ratio (atypicity index/density function) consistently yields noticeably higher percentage of well classified individuals relative to the traditional methods. The method is illustrated with a numerical example and is compared to quadratic discrimination
KeywordsPrior Probability Critical Region Quadratic Discriminant Analysis Linear Discriminant Function Linear Discrimination
Unable to display preview. Download preview PDF.
- NAKACHE J. P.: Méthodes de discrimination pour variables de nature quelconque, théorie et pratique: Thèse présentée pour obtenir le grade de Docteur-es sciences, Université Pierre et Marie Curie (1980).Google Scholar
- RIOUX P.Quadratic discriminant analysis: EDV in Medizin and Biologie, 6,112 (1975).Google Scholar
- SEBESTYEN G. S.: Decision Making Process in Pattern Recognition: Vol 19, Mac Millan Company Google Scholar