DocumentCode
927319
Title
A generalized likelihood ratio formula: Arbitrary noise statistics for doubly composite hypotheses (Corresp.)
Author
Lee, Sang C. ; Nolte, Loren W. ; Hatsell, Charles P.
Volume
23
Issue
5
fYear
1977
fDate
9/1/1977 12:00:00 AM
Firstpage
637
Lastpage
640
Abstract
A relationship between the likelihood ratio and a generalized causal conditional mean estimator is presented for the doubly composite hypotheses problem. The observation statistics are arbitrary and need not be Gaussian. The relationship parallelsthe well-known relationship for the Gaussian noise and composite signal hypothesis case, and the likelihood ratio can still be viewed as an estimator-correlator operation.
Keywords
Correlators; Signal detection; Signal estimation; Additive noise; Additive white noise; Automatic control; Extrapolation; Gaussian noise; Image restoration; Signal to noise ratio; Statistics; Stochastic processes; Stochastic resonance;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1977.1055766
Filename
1055766
Link To Document