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

2008/01/01 by Andreas Knoblauch · 4 citations
Neuroscience · Computer Science · #Neural dynamics and brain function #Memory and Neural Mechanisms #Neural Networks and Applications

paper · doi:10.1137/070700024

openalex publication_date 2008/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/04

Abstract

This work develops closed-form expressions for the raw and central moments of the binomial probability distribution. For this I first derive a recursive formula for the raw moments from the moment generating function. Then it is shown that the recursion involved is essentially the same as for the Stirling numbers of the second kind. From this fact it is then possible to derive the closed formulae. Finally, I discuss an application of these formulae to the analysis of neural associative memory.

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