๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Derivation of transitional asymptotic expansions from integral representations

โœ Scribed by Malaviya, S. C.


Book ID
112978560
Publisher
Springer-Verlag
Year
1967
Tongue
English
Weight
354 KB
Volume
65
Category
Article
ISSN
0370-0089

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Derivation of Asymptotic Expansions
โœ DINGLE, R. B. ๐Ÿ“‚ Article ๐Ÿ“… 1962 ๐Ÿ› Nature Publishing Group ๐ŸŒ English โš– 253 KB
Integral representations and asymptotic
โœ C. Knessl ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 303 KB

We derive integral representations for the Shannon and Renyi entropies associated with some simple probability distributions. These include the Poisson, binomial, and negative binomial distributions. Then we obtain full asymptotic expansions for the entropies.