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