Moments of balanced P\'olya urns
Probability
2025-05-21 v1
Abstract
We give bounds for (central) moments for balanced P\'olya urns under very general conditions. In some cases, these bounds imply that moment convergence holds in earlier known results on asymptotic distribution. The results overlap with previously known results, but are here given more generally and with a simpler proof.
Cite
@article{arxiv.2505.14198,
title = {Moments of balanced P\'olya urns},
author = {Svante Janson},
journal= {arXiv preprint arXiv:2505.14198},
year = {2025}
}
Comments
16 pages. arXiv admin note: text overlap with arXiv:1602.06203