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Moments of Balanced Pólya Urns

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  • Svante Janson

    (Uppsala University)

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.

Suggested Citation

  • Svante Janson, 2025. "Moments of Balanced Pólya Urns," Journal of Theoretical Probability, Springer, vol. 38(4), pages 1-19, December.
    • Handle: RePEc:spr:jotpro:v:38:y:2025:i:4:d:10.1007_s10959-025-01447-4
    DOI: 10.1007/s10959-025-01447-4
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    References listed on IDEAS

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    1. Bai, Z. D. & Hu, Feifang, 1999. "Asymptotic theorems for urn models with nonhomogeneous generating matrices," Stochastic Processes and their Applications, Elsevier, vol. 80(1), pages 87-101, March.
    2. Janson, Svante, 2004. "Functional limit theorems for multitype branching processes and generalized Pólya urns," Stochastic Processes and their Applications, Elsevier, vol. 110(2), pages 177-245, April.
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