A Probabilistic Approach to The Moments of Binomial Random Variables and Application

2019/11/04 by Duy Nguyen · 1 citation
Mathematics · Decision Sciences · Economics, Econometrics and Finance · #Probability and Statistical Research #Probability and Risk Models #Financial Risk and Volatility Modeling

paper · doi:10.1080/00031305.2019.1679257

openalex publication_date 2019/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22

Abstract

In this paper, we provide a closed form formula for the moments of binomial random variables using a probabilistic approach. As an interesting application, we give a closed form formula for the sum 1k+2k+3k+…+nk.

Citations

• Closed-form Expressions for the Moments of the Binomial Probability Distribution

Cited by

• Binomial distribution [wikipedia]

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