A Note on Weak Convergence, Large Deviations, and the Bounded Approximation Property

DOI10.1137/S0040585X97986941zbMath1320.60082MaRDI QIDQ5252473

Davit Varron

Publication date: 2 June 2015

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

weak convergenceempirical processeslarge deviationsiterated logarithmfunctional limit laws

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Large deviations (60F10) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Large deviations for a general class of random vectors
• Weak convergence of smoothed empirical process in Hölder spaces
• Weak convergence and empirical processes. With applications to statistics
• A note on large deviation principles in Schauder decomposable spaces
• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
• The Large Deviation Principle for Stochastic Processes. Part I
• The Large Deviation Principle for Stochastic Processes. II
• The Law of the Iterated Logarithm for Empirical Distribution
• A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
• Large deviations for processes with independent increments

This page was built for publication: A Note on Weak Convergence, Large Deviations, and the Bounded Approximation Property