ON A GENERAL RELATIONSHIP BETWEEN ESTIMATION, DETECTION AND THE BHATTACHARYA COEFFICIENT.

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 22, 1969
Accession Number
AD0690137

Entities

People

  • Demetrios G. Lainiotis

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Change Detection
  • Coefficients
  • Data Science
  • Detection
  • Identification
  • Indicators
  • Information Science
  • Pattern Recognition
  • Recognition
  • Standards

Fields of Study

  • Mathematics

Readers

  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference