Discrete quasiprobability distributions involving Bernoulli polynomials

Discrete quasiprobability distributions involving Bernoulli polynomials

The aim of this short paper is to present a new family of discrete densities with two parameters based on Bernoulli numbers and polynomials. We use the properties of such numbers in order to compute the first moments and the density of a finite sum of such independent variables.

Bibliographic Details
Main Author: Bander Almutairi
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:AIMS Mathematics
Subjects:
quasiprobability
bernoulli numbers
stirling numbers
planck's law
poisson distribution
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023645?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/math.2023645?viewType=HTML

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