English

Maximal percentages in Polya's urn

Probability 2014-10-10 v4

Abstract

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.

Keywords

Cite

@article{arxiv.1401.1805,
  title  = {Maximal percentages in Polya's urn},
  author = {Ernst Schulte-Geers and Wolfgang Stadje},
  journal= {arXiv preprint arXiv:1401.1805},
  year   = {2014}
}

Comments

note on the general case added

R2 v1 2026-06-22T02:41:39.738Z