The Kullback–Leibler Information Function for Infinite Measures

In this paper, we introduce the Kullback–Leibler information function ρ ( ν , μ ) and prove the local large deviation principle for σ-finite measures μ and finitely additive probability measures ν. In particular, the entropy of a continuous probability distribution ν on the real axis is inte...

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Bibliographic Details
Main Authors: Victor Bakhtin, Edvard Sokal
Format: Article
Language:English
Published: MDPI AG 2016-12-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/18/12/448