TL;DR
This paper provides general bounds for moments of balanced Pólya urns, improving understanding of their asymptotic behavior with simpler proofs and broader applicability.
Contribution
It introduces more general bounds for moments of balanced Pólya urns, extending previous results with simplified proofs.
Findings
Bounds for (central) moments under general conditions
Moment convergence in asymptotic distribution cases
Broader applicability of moment bounds
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.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems