Bayes error and distance between two probability distribution functions in classification of two populations

Abstract

The article looks at the error in classification of two populations H₁ and H₂ by Bayesian method. Establishing probability distribution function for sum of two misclassification probabilities in classification when supposing they have a distribution in (0,1/4), from there to consider L¹-distance between two probability distribution functions  by Liassak and Fu. This problem is considered by objectifying for normal, exponential and beta distributions.