Hoeffding decompositions and urn sequences

DOI10.1214/07-AOP389zbMath1163.60015OpenAlexW2168298615MaRDI QIDQ2519683

Omar El-Dakkak, Giovanni Peccati

Publication date: 27 January 2009

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/07-aop389

zbMATH Keywords

weak independencePólya urnsexchangeable sequencesHoeffding decompositions

Mathematics Subject Classification ID

Stochastic processes (60G99) Distribution theory (60E99) Exchangeability for stochastic processes (60G09)

Related Items (3)

Exchangeable Hoeffding decompositions over finite sets: a combinatorial characterization and counterexamples ⋮ Multiple integral representation for functionals of Dirichlet processes ⋮ On the rate of convergence in de Finetti's representation theorem

Cites Work

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• Limit theorems for \(U\)-processes
• Normal approximation for finite-population U-statistics
• Tail behaviour of multiple random integrals and \(U\)-statistics
• Multiple integral representation for functionals of Dirichlet processes
• Exchangeable urn processes
• Applications of ANOVA type decompositions for comparisons of conditional variance statistics including jackknife estimates
• Covariances of symmetric statistics
• Conjugate priors for exponential families
• An Edgeworth expansion for symmetric statistics
• Discreteness of Ferguson selections
• Ferguson distributions via Polya urn schemes
• Hoeffding decompositions for exchangeable sequences and chaotic representation of functionals of Dirichlet processes.
• Distributional results for means of normalized random measures with independent increments
• Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics
• An Edgeworth expansion for symmetric finite population statistics
• Hoeffding-ANOVA decompositions for symmetric statistics of exchangeable observations.
• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• A Bayesian analysis of some nonparametric problems
• Conjugacy as a Distinctive Feature of the Dirichlet Process
• A transition density expansion for a multi-allele diffusion model
• Orthogonal Decomposition of Symmetric Functions Defined on Random Permutations
• Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives
• A Class of Statistics with Asymptotically Normal Distribution

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