Large deviations for some logarithmic means in the case of random variables with thin tails

DOI10.1016/J.SPL.2018.02.066zbMath1390.60105OpenAlexW2792266299WikidataQ130185910 ScholiaQ130185910MaRDI QIDQ1642246

Claudio Macci, Rita Giuliano

Publication date: 20 June 2018

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2018.02.066

zbMATH Keywords

almost sure central limit theoremexposed point\(C\)-process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Large deviations (60F10)

Related Items (1)

Large deviations for weighted means of random vectors defined in terms of suitable Lévy processes

Cites Work

• Unnamed Item
• On almost sure max-limit theorems
• A note on the almost sure central limit theorem
• Large deviation principles for sequences of logarithmically weighted means
• On the universal a.s. central limit theorem
• Convex-invariant means and a pathwise central limit theorem
• Large deviations from the almost everywhere central limit theorem
• An extension of the almost sure max-limit theorem
• 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.
• Asymptotic results for weighted means of random variables which converge to a Dickman distribution, and some number theoretical applications
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• ON Rényi's “Record” Problem and Engel's Series
• Almost Sure Convergence in Extreme Value Theory
• Perpetuities with thin tails
• A Note on Rényi's ‘Record’ Problem and Engel's Series
• On the large deviation principle for the almost sure CLT.

This page was built for publication: Large deviations for some logarithmic means in the case of random variables with thin tails