Simultaneous Detection and Estimation: The Use of Sufficient Statistics and Reproducing Probability Densities.

Abstract

The problem considered postualtes two mutually exclusive and exhaustive statistical hypotheses, under each of which the probability distribution on the observation space is known except for (conditional to) a finite-dimensional parameter. The parameters may or may not have common components, and are considered as random variables and assigned a priori probability density functions. It includes the standard signal-detection problem where either the signal, or the noise, or both, may contain uncertain parameters. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1973
Accession Number
AD0770176

Entities

People

  • Jurgen O. Gobien

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Data Science
  • Detection
  • Hypotheses
  • Information Science
  • Mathematics
  • Observation
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Signal Detection
  • Standards
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Statistical inference.

Technology Areas

  • Space
  • Space - Space Objects