<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Rate of convergence of predictive distributions for dependent data"^^ . "This paper deals with empirical processes of the type\r\n\r\n[C_{n}(B)=\\sqrt{n}\\{\\mu_{n}(B)-P(X_{n+1}\\in B\\mid X_{1},\\ldots,X_{n})\\},\\]\r\n\r\nwhere (Xn) is a sequence of random variables and μn=(1/n)∑i=1nδXi the empirical measure. Conditions for supB|Cn(B)| to converge stably (in particular, in distribution) are given, where B ranges over a suitable class of measurable sets. These conditions apply when (Xn) is exchangeable or, more generally, conditionally identically distributed (in the sense of Berti et al. [Ann. Probab. 32 (2004) 2029–2052]). By such conditions, in some relevant situations, one obtains that $\\sup_{B}|C_{n}(B)|\\stackrel{P}{\\rightarrow}0$ or even that $\\sqrt{n}\\sup_{B}|C_{n}(B)|$ converges a.s. Results of this type are useful in Bayesian statistics.\r\n"^^ . "2009" . "15" . "4" . . "Bernoulli Society for Mathematical Statistics and Probability"^^ . . . "Bernoulli"^^ . . . "13507265" . . . . . . . . . . . . . . . . "Irene"^^ . "Crimaldi"^^ . "Irene Crimaldi"^^ . . "Pietro"^^ . "Rigo"^^ . "Pietro Rigo"^^ . . "Patrizia"^^ . "Berti"^^ . "Patrizia Berti"^^ . . "Luca"^^ . "Pratelli"^^ . "Luca Pratelli"^^ . . . . . "HTML Summary of #980 \n\nRate of convergence of predictive distributions for dependent data\n\n" . "text/html" . . . "HA Statistics"@en . . . "QA Mathematics"@en . .