Ballot theorems for random walks with finite variance

Details Ballot theorems for random walks with finite variance Ballot theorems for random walks with finite variance

2008-02-18

arxiv.org/abs/0802.2491v2

Mathematics

Probability

21 pages; substantially simplified the proof of the positive result

Scientific paper

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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