Almost sure convergence for the maxima and minima of strongly dependent nonstationary multivariate Gaussian sequences

DOI10.3934/mfc.2022044OpenAlexW4313021506MaRDI QIDQ6112868

Zhicheng Chen, Xinsheng Liu, HongYun Zhang

Publication date: 7 August 2023

Published in: Mathematical Foundations of Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mfc.2022044

zbMATH Keywords

extreme value theoryalmost sure max-limit theoremmaxima and minimanormal comparison lemmastrongly dependent nonstationary Gaussian sequences

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Strong limit theorems (60F15)

Cites Work

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• On almost sure max-limit theorems
• A note on almost sure central limit theorem in the joint version for the maxima and sums
• Almost sure central limit theorem for the maxima and sums of stationary Gaussian sequences
• Almost sure limit theorems for the maxima of some strongly dependent Gaussian sequences
• The almost sure limit theorem for the maxima and minima of strongly dependent Gaussian vector sequences
• Almost sure convergence for the maxima of strongly dependent stationary Gaussian vector sequences
• Almost sure convergence for the maximum and the sum of nonstationary Gaussian sequences
• An almost sure limit theorem for the maxima of strongly dependent Gaussian sequences
• Extremes and related properties of random sequences and processes
• Limit distributions for the maxima of stationary Gaussian processes
• On the convergence of generalized moments in almost sure central limit theorem
• Almost sure limit theorems for the maximum of stationary Gaussian sequences
• A universal result in almost sure central limit theory.
• On the almost sure convergence for the joint version of maxima and minima of stationary sequences
• 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
• Discrete Probability Models and Methods
• AN ALMOST SURE LIMIT THEOREM FOR THE MAXIMA OF MULTIVARIATE STATIONARY GAUSSIAN SEQUENCES
• Almost sure central limit theorem for partial sums and maxima
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• Almost Sure Convergence in Extreme Value Theory
• Statistics of Extremes

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