| HAL-Inria | Publications, software ... of Inria's scientists |
Conference papers
On Bernoulli Sums and Bernstein Polynomials
Abstract : In the paper we discuss a technology based on Bernstein polynomials of asymptotic analysis of a class of binomial sums that arise in information theory. Our method gives a quick derivation of required sums and can be generalized to multinomial distributions. As an example we derive a formula for the entropy of multinomial distributions. Our method simplifies previous work of Jacquet, Szpankowski and Flajolet from 1999.
Cited literature [12 references]
https://hal.inria.fr/hal-01197242
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Friday, September 11, 2015 - 12:55:05 PM
Last modification on : Tuesday, March 7, 2017 - 3:18:36 PM
Long-term archiving on: : Tuesday, December 29, 2015 - 12:35:50 AM
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Friday, September 11, 2015 - 12:55:05 PM
Last modification on : Tuesday, March 7, 2017 - 3:18:36 PM
Long-term archiving on: : Tuesday, December 29, 2015 - 12:35:50 AM
File
dmAQ0115.pdf
Publisher files allowed on an open archive