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arxiv: 1401.1805 · v4 · pith:HIMDVUCKnew · submitted 2014-01-08 · 🧮 math.PR

Maximal percentages in Polya's urn

classification 🧮 math.PR
keywords maximalpercentagesall-timealmostballsderivedistributionalexact
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We show that the supremum of the successive percentages of red balls in P\'olya's urn model is almost surely rational, give the set of values that are taken with positive probability and derive several exact distributional results for the all-time maximal percentage.

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