Large deviation probabilities and dominating points for open convex sets: Nonlogarithmic behavior

DOI10.1214/aop/1019160334zbMath1023.60006OpenAlexW1597392536MaRDI QIDQ1872153

James Kuelbs

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aop/1019160334

zbMATH Keywords

large deviation probabilitiesdominating points for open convex setsnonlogarithmic behavior

Mathematics Subject Classification ID

Large deviations (60F10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (5)

Moderate deviation probabilities for open convex sets: nonlogarithmic behavior. ⋮ Queueing systems fed by many exponential on-off sources: an infinite-intersection approach ⋮ Rates of convergence for the Nummelin conditional weak law of large numbers. ⋮ Entropic Projections and Dominating Points ⋮ Extreme Event Quantification in Dynamical Systems with Random Components

Cites Work

• Unnamed Item
• Unnamed Item
• Convexity and large deviations
• Invariance principle and empirical mean large deviations of the critical Ornstein-Uhlenbeck process
• Large deviations of the sample mean in general vector spaces
• Dominating points and the asymptotics of large deviations for random walk on \(R^ r\).
• Large deviation lower bounds for arbitrary additive functionals of a Markov chain
• Dominating points and large deviations for random vectors
• Sequence spaces with a given Köthe \(\beta\)-dual
• Limit theorems for moving averages of independent random vectors
• Asymptotic evaluation of certain Markov process expectations for large time—III
• Convex Analysis

This page was built for publication: Large deviation probabilities and dominating points for open convex sets: Nonlogarithmic behavior