Generalizations of Fano’s Inequality for Conditional Information Measures via Majorization Theory

Generalizations of Fano’s Inequality for Conditional Information Measures via Majorization Theory

Fano’s inequality is one of the most elementary, ubiquitous, and important tools in information theory. Using majorization theory, Fano’s inequality is generalized to a broad class of information measures, which contains those of Shannon and Rényi. When specialized to th...

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Bibliographic Details
Main Author: Yuta Sakai
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Entropy
Subjects:
fano’s inequality
countably infinite alphabet
list decoding
general class of conditional information measures
conditional rényi entropies
α-mutual information
majorization theory
the infinite-dimensional version of birkhoff’s theorem
the birkhoff–von neumann decomposition
asymptotic equipartition property (aep)
Online Access:https://www.mdpi.com/1099-4300/22/3/288

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https://www.mdpi.com/1099-4300/22/3/288

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