DocumentCode
1404196
Title
An inequality for rational functions with applications to some statistical estimation problems
Author
Gopalakrishnan, P.S. ; Kanevsky, Dimitri ; Nádas, Arthur ; Nahamoo, David
Author_Institution
IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA
Volume
37
Issue
1
fYear
1991
fDate
1/1/1991 12:00:00 AM
Firstpage
107
Lastpage
113
Abstract
The well-known Baum-Eagon inequality (1967) provides an effective iterative scheme for finding a local maximum for homogeneous polynomials with positive coefficients over a domain of probability values. However, in many applications the goal is to maximize a general rational function. In view of this, the Baum-Eagon inequality is extended to rational functions. Some of the applications of this inequality to statistical estimation problems are briefly described
Keywords
parameter estimation; polynomials; speech recognition; statistical analysis; Baum-Eagon inequality; homogeneous polynomials; iterative scheme; probability; rational functions; speech recognition; statistical estimation problems; Algorithm design and analysis; Hidden Markov models; Iterative algorithms; Markov processes; Maximum likelihood estimation; Mutual information; Polynomials; Probability; Signal processing algorithms; Speech recognition;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.61108
Filename
61108
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