INTEGRAL-REPRESENTATIONS AND ASYMPTOTIC EXPANSIONS FOR SHANNON AND RENYI ENTROPIES

Authors
KNESSL C
Citation
C. Knessl, INTEGRAL-REPRESENTATIONS AND ASYMPTOTIC EXPANSIONS FOR SHANNON AND RENYI ENTROPIES, Applied mathematics letters, 11(2), 1998, pp. 69-74
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
11
Issue
2
Year of publication
1998
Pages
69 - 74
Database
ISI
SICI code
0893-9659(1998)11:2<69:IAAEFS>2.0.ZU;2-G
Abstract
We derive integral, representations for the Shannon and Renyi entropie s associated with some simple probability distributions. These include the Poisson, binomial, and negative binomial distributions. Then we o btain full asymptotic expansions for the entropies.