Almost sure convergence for the maximum and the sum of nonstationary Gaussian sequences

DOI10.1155/2010/856495zbMath1195.60047OpenAlexW1995696829WikidataQ59254000 ScholiaQ59254000MaRDI QIDQ978463

Sheng-li Zhao, Zuo Xiang Peng, Song-Lin Wu

Publication date: 24 June 2010

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

Full work available at URL: https://eudml.org/doc/228987

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Strong limit theorems (60F15)

Related Items (3)

Some applications of the Archimedean copulas in the proof of the almost sure central limit theorem for ordinary maxima ⋮ Almost sure convergence for the maxima and minima of strongly dependent nonstationary multivariate Gaussian sequences ⋮ Improved results in almost sure central limit theorems for the maxima and partial sums for Gaussian sequences

Cites Work

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• On almost sure max-limit theorems
• Almost sure convergence for non-stationary random sequences
• An almost sure limit theorem for the maxima of strongly dependent Gaussian sequences
• Almost sure limit theorems for the maximum of stationary Gaussian sequences
• A universal result in almost sure central limit theory.
• Almost sure convergence of extreme order statistics
• The almost sure central limit theorems in the joint version for the maxima and sums of certain stationary Gaussian sequences
• Almost sure max-limits for nonstationary Gaussian sequence
• Almost sure central limit theorem for partial sums and maxima
• Almost Sure Convergence in Extreme Value Theory

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