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Limit theorems for empirical processes based on dependent data

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Publication:428612
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DOI10.1214/EJP.v17-1765zbMath1246.60009MaRDI QIDQ428612

Luca Pratelli, Patrizia Berti, Pietro Rigo

Publication date: 22 June 2012

Published in: Electronic Journal of Probability (Search for Journal in Brave)


zbMATH Keywords

exchangeabilityempirical processstable convergenceconditional identity in distributionpredictive measure


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random measures (60G57) Convergence of probability measures (60B10) Exchangeability for stochastic processes (60G09)


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Asymptotics of certain conditionally identically distributed sequences, Asymptotic predictive inference with exchangeable data, Compatibility results for conditional distributions, Asymptotics of Predictive Distributions, Bayesian Predictive Inference Without a Prior, Kernel based Dirichlet sequences, A class of models for Bayesian predictive inference, Stable limit theorems for empirical processes under conditional neighborhood dependence, On a notion of partially conditionally identically distributed sequences, Exchangeable Processes: de Finetti’s Theorem Revisited, Uniform rates of the Glivenko-Cantelli convergence and their use in approximating Bayesian inferences



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