Schulte-Geers, Ernst; Stadje, Wolfgang Maximal percentages in Pólya’s urn. (English) Zbl 1397.60023 J. Appl. Probab. 52, No. 1, 180-190 (2015). Summary: We show that the supremum of the successive percentages of red balls in Pólya’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. Cited in 1 ReviewCited in 1 Document MSC: 60C05 Combinatorial probability Keywords:Pólya’s urn; binomial random walk; all-time maximal percentage; exact distribution × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid