A general result in almost sure central limit theory for random fields

DOI10.1080/02331888.2013.801974zbMath1367.60025OpenAlexW1992942729MaRDI QIDQ2934837

Qing Pei Zang

Publication date: 22 December 2014

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2013.801974

zbMATH Keywords

random fieldsalmost sure central limit theoremmaxima and partial sums

Mathematics Subject Classification ID

Random fields (60G60) Strong limit theorems (60F15)

Related Items (3)

Almost sure central limit theorem for non-stationary Markov chains ⋮ A generalization of almost sure local limit theorem of uniform empirical process ⋮ An extension of almost sure central limit theorem for the maximum of stationary Gaussian random fields

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 negatively associated fields
• 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
• Almost sure max-limits for nonstationary Gaussian sequence
• Almost sure limit theorem for stationary Gaussian random fields
• 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 central limit theorems for random fields

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