Refinements of the Gibbs conditioning principle
type: Item
instance of: scholarly article
title: Refinements of the Gibbs conditioning principle
zbMATH Open document ID: 0838.60025
DOI: 10.1007/BF01303799
author: Amir Dembo
author: Ofer Zeitouni
publication date: 1996-02-28T00:00:00Z
review text: Refinements of Sanov's large deviations theorem lead via Csiszár's information theoretic identity to refinements of the Gibbs conditioning principle which are valid for blocks whose lengths increase with the length of the conditioning sequence. Sharp bounds on the growth of the block length with the length of the conditioning sequence are derived.
Mathematics Subject Classification ID: 60F10
zbMATH DE Number: 849085
zbMATH Keywords: large deviations theorem
zbMATH Keywords: information theoretic identity
zbMATH Keywords: Gibbs conditioning principle
MaRDI profile type: Publication
cites work: Q4097679
cites work: Laplace approximations for sums of independent random vectors. II: Degenerate maxima and manifolds of maxima
cites work: Q3203767
cites work: I-divergence geometry of probability distributions and minimization problems
cites work: Sanov property, generalized I-projection and a conditional limit theorem
cites work: Conditional limit theorems under Markov conditioning
cites work: Q3134548
cites work: Finite exchangeable sequences
cites work: Conditional limit theorems for exponential families and finite versions of de Finetti's theorem
cites work: Dominant measures and Sanov's theorem
cites work: Convergence Rate for Degenerate von Mises Functionals
cites work: Dominating points and the asymptotics of large deviations for random walk on \(R^ r\).
cites work: \(I\)-projection and conditional limit theorems for discrete parameter Markov processes
cites work: Q3976817
cites work: Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 849085