DocumentCode
1208181
Title
Refinements of Pinsker´s inequality
Author
Fedotov, Alexei A. ; Harremoës, Peter ; Topsøe, Flemming
Author_Institution
Dept. of Inf. Technol., Inst. of Computational Technol., Novosibirsk, Russia
Volume
49
Issue
6
fYear
2003
fDate
6/1/2003 12:00:00 AM
Firstpage
1491
Lastpage
1498
Abstract
Let V and D denote, respectively, total variation and divergence. We study lower bounds of D with V fixed. The theoretically best (i.e., largest) lower bound determines a function L=L(V), Vajda´s (1970) tight lower bound. The main result is an exact parametrization of L. This leads to Taylor polynomials which are lower bounds for L, and thereby to extensions of the classical Pinsker (1960) inequality which has numerous applications, cf. Pinsker and followers.
Keywords
information theory; polynomials; probability; set theory; Pinsker´s inequality; Taylor polynomials; Vaida´s tight lower bound; convex set; divergence; exact parametrization; information diagram; information theory; lower bounds; probability measures; total variation; Additives; Councils; Entropy; Information technology; Information theory; Mathematics; Notice of Violation; Polynomials; Random variables; Upper bound;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2003.811927
Filename
1201071
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