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.
No takes yet. Share an insight, caveat, or question.
Andreas Knoblauch (2008) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: