Ballot theorems for random walks with finite variance

B.A. Reed; L. Addario-Berry

Ballot theorems for random walks with finite variance

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arxiv 0802.2491 v2 pith:MWCDA44J submitted 2008-02-18 math.PR

L. Addario-Berry , B.A. Reed This is my paper · ORCID

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keywords ballotrandomanalogueattractionbestclassicalconclusionsdemonstrating

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We prove an analogue of the classical ballot theorem that holds for any random walk in the range of attraction of the normal distribution. Our result is best possible: we exhibit examples demonstrating that if any of our hypotheses are removed, our conclusions may no longer hold.

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