Concentration functions and entropy bounds for discrete log-concave distributions

Concentration functions and entropy bounds for discrete log-concave distributions

Two-sided bounds are explored for concentration functions and Rényi entropies in the class of discrete log-concave probability distributions. They are used to derive certain variants of the entropy power inequalities.

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Veröffentlicht in:Combinatorics, probability & computing probability & computing, 2022-01, Vol.31 (1), p.54-72
Hauptverfasser: Bobkov, Sergey G., Marsiglietti, Arnaud, Melbourne, James
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorics
Entropy
Entropy (Information theory)
Inequality
Random variables
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Beschreibung
Zusammenfassung:Two-sided bounds are explored for concentration functions and Rényi entropies in the class of discrete log-concave probability distributions. They are used to derive certain variants of the entropy power inequalities.
ISSN:0963-5483
1469-2163
DOI:10.1017/S096354832100016X