期刊
IEEE TRANSACTIONS ON INFORMATION THEORY
卷 49, 期 6, 页码 1491-1498出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2003.811927
关键词
divergence; information diagram; Pinsker's inequality; total variation; Vajda's tight lower bound
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 tight lower bound, cf. Vajda, [1]. 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 inequality which has numerous applications, cf. Pinsker [2] and followers.
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