Accession Number : AD0690137
Title : ON A GENERAL RELATIONSHIP BETWEEN ESTIMATION, DETECTION AND THE BHATTACHARYA COEFFICIENT.
Descriptive Note : Technical memo.,
Corporate Author : TEXAS UNIV AUSTIN ELECTRONICS RESEARCH CENTER
Personal Author(s) : Lainiotis,Demetrios G.
Report Date : 22 APR 1969
Pagination or Media Count : 11
Abstract : A general and fundamental relationship between estimation, detection/pattern recognition and the Bhattacharya coefficient is established. Specifically, it is shown that a functional of the likelihood ratio necessary for Bayes optimal detection/pattern recognition is the Bayes-optimal mean-square estimate of the indicator variable beta, where beta = 1, 0 for hypothesis H sub 1, H sub 0, respectively. The Bhattacharya coefficient is then shown to be the expected value of the estimation error standard deviation. (Author)
Descriptors : (*INFORMATION THEORY, PATTERN RECOGNITION), (*PATTERN RECOGNITION, STATISTICAL ANALYSIS), ANALYSIS OF VARIANCE, DECISION THEORY, PROBABILITY, DETECTION, ERRORS
Subject Categories : Cybernetics
Distribution Statement : APPROVED FOR PUBLIC RELEASE