Notes on Feige's gumball machines problem

John H. Elton

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arXiv · 0908.3528

Notes on Feige's gumball machines problem

John H. Elton

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Abstract

We give a detailed proof, in the identically distributed case, of a conjecture of Feige about the maximum probability that the sum of n independent non-negative integer valued random variables, each of mean 1, exceeds n. The general case is reduced to two-point distributions.

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John H. Elton. 2009-08-25. Notes on Feige's gumball machines problem. https://arxiv.org/abs/0908.3528

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