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BAYES ERROR AND DISTANCE BETWEEN TWO PROBABILITY DISTRIBUTION FUNCTIONS IN CLASSIFICATION OF TWO POPULATIONS

Vo Van Tai 1
Pham Gia Thu 2
To Anh Dung 3
Volume & Issue: Vol. 11 No. 6 (2008) | Page No.: 23-37 | DOI: 10.32508/stdj.v11i6.2646
Published: 2008-06-30

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This article is published with open access by Viet Nam National University, Ho Chi Minh City, Viet Nam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.

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.

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