Moments of Balanced Pólya Urns

Svante Janson ()
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Svante Janson: Uppsala University

Journal of Theoretical Probability, 2025, vol. 38, issue 4, 1-19

Abstract: Abstract We give bounds for (central) moments for balanced Pólya 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.

Keywords: Pólya urns; Moment convergence; 60C05; 60F25 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10959-025-01447-4

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