A note on the almost sure central limit theorems for the maxima and sums

DOI10.1186/1029-242X-2012-223zbMath1293.60034OpenAlexW2142746851WikidataQ59290907 ScholiaQ59290907MaRDI QIDQ385856

Qing Pei Zang

Publication date: 11 December 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-223

zbMATH Keywords

partial sumsmaximaalmost sure central limit theoremLipschitz function

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Large deviations (60F10)

Related Items (1)

Almost sure central limit theorem for self-normalized partial sums and maxima

Cites Work

• On almost sure max-limit theorems
• A note on the almost sure central limit theorem
• A note on the almost sure central limit theorem for weakly dependent random variables
• A note on the almost sure central limit theorem for some dependent random variables.
• Almost sure limit theorems for the maximum of stationary Gaussian sequences
• A universal result in almost sure central limit theory.
• A note on the asymptotic independence of the sum and maximum of strongly mixing stationary random variables
• The almost sure central limit theorems in the joint version for the maxima and sums of certain stationary Gaussian sequences
• An extension of almost sure central limit theory
• Almost sure max-limits for nonstationary Gaussian sequence
• Almost sure central limit theorem for partial sums and maxima
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem

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