Convergence in distribution of nonmeasurable random elements.
type: Item
instance of: scholarly article
title: Convergence in distribution of nonmeasurable random elements.
zbMATH Open document ID: 1049.60004
author: Patrizia Berti
author: Pietro Rigo
published in: The Annals of Probability
publication date: 2004-09-15T00:00:00Z
review text: Convergence in distribution of the empirical process for exchangeable sequences of non-measur\-able random elements is investigated. Hoffmann-Jørgensen's definition of convergence in distribution of non-measurable random elements is extended to the case of a non-measurable limits.
Mathematics Subject Classification ID: 60B10
Mathematics Subject Classification ID: 60A05
zbMATH DE Number: 2100722
zbMATH Keywords: empirical processes
zbMATH Keywords: convergence in distribution
zbMATH Keywords: exchangeability
zbMATH Keywords: measurability
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1078415839
OpenAlex ID: W2015721545
cites work: Coherent inferences and improper priors
cites work: On the existence of inferences which are consistent with a given model
cites work: Sufficient conditions for the existence of disintegrations
cites work: Limit theorems for a class of identically distributed random variables.
cites work: Q3663565
cites work: Finitely additive measures and the first digit problem
cites work: Finitely additive conditional probabilities, conglomerability and disintegrations
cites work: Q4854292
cites work: Weak convergence of probabilities on nonseparable metric spaces and empirical measures on Euclidean spaces
cites work: Measures on non-separable metric spaces
cites work: Uniform Central Limit Theorems
cites work: Q4293655
cites work: On finitely additive priors, coherence, and extended admissibility
cites work: Coherent inference from improper priors and from finitely additive priors
cites work: A finitely additive white noise approach to nonlinear filtering
cites work: Q3999268
cites work: A General Principle for Limit Theorems in Finitely Additive Probability
cites work: A general principle for limit theorems in finitely additive probability: The dependent case
cites work: Convergence of stochastic processes
cites work: Weak Convergence of a Two-sample Empirical Process and a New Approach to Chernoff-Savage Theorems
cites work: De Finetti's coherence and statistical inference
cites work: Weak convergence and empirical processes. With applications to statistics
DOI: 10.1214/AOP/1078415839
description: scientific article; zbMATH DE number 2100722