Explicit Expressions for Most Common Entropies

Explicit Expressions for Most Common Entropies

Entropies are useful measures of variation. However, explicit expressions for entropies available in the literature are limited. In this paper, we provide a comprehensive collection of explicit expressions for four of the most common entropies for over sixty continuous univariate distributions. Most...

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Veröffentlicht in:Entropy (Basel, Switzerland) Switzerland), 2023-03, Vol.25 (3), p.534
Hauptverfasser: Nadarajah, Saralees, Kebe, Malick
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
beta function
Entropy
Entropy (Information theory)
Expressions (Mathematics)
gamma function
Gauss hypergeometric function
Random variables
Variational principles
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Beschreibung
Zusammenfassung:Entropies are useful measures of variation. However, explicit expressions for entropies available in the literature are limited. In this paper, we provide a comprehensive collection of explicit expressions for four of the most common entropies for over sixty continuous univariate distributions. Most of the derived expressions are new. The explicit expressions involve known special functions.
ISSN:1099-4300
1099-4300
DOI:10.3390/e25030534