Large deviation principles for sequences of logarithmically weighted means

DOI10.1016/j.jmaa.2011.01.068zbMath1214.60007OpenAlexW2046290020MaRDI QIDQ633660

Rita Giuliano, Claudio Macci

Publication date: 29 March 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.01.068

zbMATH Keywords

Hellinger distancelarge deviationsinfinitely divisible distributionalmost sure central limit theoremtriangular arraylogarithmically weighted mean

Mathematics Subject Classification ID

Large deviations (60F10)

Related Items (6)

Large deviations for some logarithmic means in the case of random variables with thin tails ⋮ Asymptotic results for weighted means of linear combinations of independent Poisson random variables ⋮ Asymptotic results for weighted means of random variables which converge to a Dickman distribution, and some number theoretical applications ⋮ Large deviations for infinite weighted sums of stretched exponential random variables ⋮ Large deviations for weighted means of random vectors defined in terms of suitable Lévy processes ⋮ On large deviations for some sequences of weighted means of Gaussian processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On almost sure max-limit theorems
• A note on the almost sure central limit theorem
• On the universal a.s. central limit theorem
• Convex-invariant means and a pathwise central limit theorem
• Large deviations and stochastic homogenization
• Asymptotics in statistics: some basic concepts
• Large deviations for vector-valued Lévy processes
• Large deviations from the almost everywhere central limit theorem
• An extension of the almost sure max-limit theorem
• A large deviation principle for weighted sums of independent identically distributed random variables
• The principle of large deviations for almost everywhere central limit theorem
• A large deviations principle related to the strong arc-sine law
• A universal result in almost sure central limit theory.
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• Asymptotic Statistics
• Almost Sure Convergence in Extreme Value Theory
• On the large deviation principle for the almost sure CLT.

This page was built for publication: Large deviation principles for sequences of logarithmically weighted means