Digital Commons @ Shawnee State University - Celebration of Scholarship: Sums of Independent Binomial and Poisson Random Variables
 

Friday, 4/8/2022

Sydney CrawfordFollow

Error loading player: No playable sources found
 

University

Shawnee State University

Major

Mathematical Science with Actuarial Concentration

Student Type

Undergraduate Student

Presentation Types

Oral Presentation (Live)

Keywords:

expository, binomial random variables, Poisson random variables, summation

Abstract

I will be giving an expository talk about the sums of two independent types of discrete random variables. In particular, I will present a proof that the sum of two independent binomial random variables is a binomial random variable. I will also prove that the sum of two independent Poisson random variables is a Poisson random variable. Some background information will be included as well.

Human and Animal Subjects

no

Faculty Mentor Name

John Whitaker

Faculty Mentor Title

Professor/Advisor

Faculty Mentor Department

Mathematical Sciences

Download

Plum Print visual indicator of research metrics
PlumX Metrics
  • Usage
    • Abstract Views: 149
    • Downloads: 55
  • Social Media
    • Shares, Likes & Comments: 55
see details

Share

COinS
 

Sums of Independent Binomial and Poisson Random Variables

I will be giving an expository talk about the sums of two independent types of discrete random variables. In particular, I will present a proof that the sum of two independent binomial random variables is a binomial random variable. I will also prove that the sum of two independent Poisson random variables is a Poisson random variable. Some background information will be included as well.