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BAYESIAN ESTIMATION FOR THE MIXING PROPORTION IN CLASSIFICATION AND DISCRIMINANT WITH TWO POPULATIONS

Vo Van Tai 1
Pham Gia Thu 2
To Anh Dung 3
Volume & Issue: Vol. 11 No. 1 (2008) | Page No.: 21-30 | DOI: 10.32508/stdj.v11i1.2595
Published: 2008-01-31

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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 presents a problem in classification with two populations H, and H by Bayesian method, which is building posterior probability distribution function for v, proportion of H1 in H3 (the mixing of H1 and H2) using its truncated (0,1) prior distribution and observations from H3. The cases when v has prior beta, normal and exponential distributions are studied completely.

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