Working Paper Article Version 1 This version is not peer-reviewed

A Note on Discrete Degenerate Random Variables

Version 1 : Received: 14 November 2019 / Approved: 15 November 2019 / Online: 15 November 2019 (16:43:03 CET)

How to cite: Kim, T.; Kim, D.S.; Jang, L.; Kim, H.Y. A Note on Discrete Degenerate Random Variables. Preprints 2019, 2019110179 Kim, T.; Kim, D.S.; Jang, L.; Kim, H.Y. A Note on Discrete Degenerate Random Variables. Preprints 2019, 2019110179

Abstract

In this paper, we introduce two discrete degenerate random variables, namely the degenerate binomial and degenerate Poisson random variables. We deduce the expectations of the degenerate binomial random variables. We compute the generating function of the moments of the degenerate Poisson random variables, which leads us to define the new type degenerate Bell polynomials, and hence obtain explicit expressions for the moments of those random variables in terms of such polynomials. We also get the variances of the degenerate Poisson random variables. Finally, we illustrate two examples of the degenerate Poisson random variables.

Subject Areas

discrete degenerate random variables; degenerate binomial random variable; degenerate Poisson random variable; new type degenerate Bell polynomials

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.