DOAJ Open Access 2012

On Bernoulli Sums and Bernstein Polynomials

Jacek Cichoń Zbigniew Gołębiewski

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (2)

Jacek Cichoń

Zbigniew Gołębiewski

Format Sitasi

APA MLA BibTeX

Cichoń, J., Gołębiewski, Z. (2012). On Bernoulli Sums and Bernstein Polynomials. https://doi.org/10.46298/dmtcs.2993

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2993

Informasi Jurnal

Tahun Terbit: 2012
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2993
Akses: Open Access ✓