Accession Number:

ADA525833

Title:

An Invariance Property of the Generalized Likelihood Ratio Test

Descriptive Note:

Journal article

Corporate Author:

NAVAL UNDERSEA WARFARE CENTER DIV NEWPORT RI

Personal Author(s):

Report Date:

2003-12-01

Pagination or Media Count:

5.0

Abstract:

The generalized likelihood ratio test GLRT is invariant with respect to transformations for which the hypothesis testing problem itself is invariant. This result from the statistics literature is presented in the context of some simple signal models. This is an important property of the GLRT in light of its widespread use and the recent interest in invariant tests applied to signal processing applications. The GLRT is derived for some examples in which the uniformly most powerful invariant UMPI test does and does not exist, including one in which the UMPI test exists and is not given by the GLRT.

Subject Categories:

  • Statistics and Probability
  • Miscellaneous Detection and Detectors

Distribution Statement:

APPROVED FOR PUBLIC RELEASE