Continuity and weak convergence of ranked and size-biased permutations on the infinite simplex

DOI10.1016/0304-4149(89)90104-XzbMath0694.60009MaRDI QIDQ909330

Peter Donnelly, Paul Joyce

Publication date: 1989

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

exchangeabilityDirichlet distributionweak convergence of probability measures

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Combinatorial probability (60C05)

Related Items

Gaussian limits associated with the Poisson-Dirichlet distribution and the Ewens sampling formula, The Dirichlet-Ferguson diffusion on the space of probability measures over a closed Riemannian manifold, Exact and approximate sum representations for the Dirichlet process, Exchangeable and partially exchangeable random partitions, On random polynomials over finite fields, The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator, Random feedback shift registers and the limit distribution for largest cycle lengths, When do combinatorial structures obey the Poisson-Dirichlet law?, Limiting distributions of generalised Poisson-Dirichlet distributions based on negative binomial processes, Size-biased sampling of Poisson point processes and excursions, Size-biased sampling and discrete nonparametric Bayesian inference, Characteristic functionals of Dirichlet measures, Paul Joyce and the infinite alleles model, Structure of the condensed phase in the inclusion process, The standard additive coalescent, Poisson-Dirichlet asymptotics in condensing particle systems

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