EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes

Abstract

Themodel of amixture of several probability distributions wasmentioned for the first time byNewcomb [1] and Pearson [2]. Suchmixtures naturally arise inmany areas. In particular, in the theory of reliability and time of life,mixtures of gammadistributions [3] are used. Examples of the use of mixtures of normal distributions in the processing of biological and physiological data are given in [4]. In Slud [5], a mixture of two exponential distributions is used to describe the debugging process of the software. Some applications of the model of mixtures in medical diagnostics were given in [6,7].