A Gamma - Free Product Formula for the Moments of Gamma Distribution

A Gamma- free product formula for the k-th moment of Gamma distribution is derived as E(X^k)=beta^k*product_{i=0}^{k-1}(alpha+i). implemented with Nworie _moment() function in R, faster thangamma function integration.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-29
DOI
https://doi.org/10.5281/zenodo.23754338
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

A Gamma - Free Product Formula for the Moments of Gamma Distribution

Ogbodo Michael Nworie
Zenodo (CERN European Organization for Nuclear Research)
Statistical Distribution Estimation and Applications
article

A Gamma - Free Product Formula for the Moments of Gamma Distribution

Ogbodo Michael Nworie
article en

Abstract

A Gamma- free product formula for the k-th moment of Gamma distribution is derived as E(X^k)=beta^k*product_{i=0}^{k-1}(alpha+i). implemented with Nworie _moment() function in R, faster thangamma function integration.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 12%
Statistical Distribution Estimation and Applications
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A Gamma - Free Product Formula for the Moments of Gamma Distribution — Ogbodo Michael Nworie · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS