Moment convergence of balanced P\'olya processes
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🧮 math.PR
keywords
convergencebalanceddistributionmomentsnormalolyaasymptoticscentral
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It is known that in an irreducible small P\'olya urn process, the composition of the urn after suitable normalization converges in distribution to a normal distribution. We show that if the urn also is balanced, this normal convergence holds with convergence of all moments, thus giving asymptotics of (central) moments.
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