Almost sure central limit theorems for random fields

DOI10.1002/mana.200310091zbMath1028.60019OpenAlexW2169260446MaRDI QIDQ4432805

Zdzisław Rychlik, István Fazekas

Publication date: 29 October 2003

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310091

zbMATH Keywords

random fieldfunctional limit theoremalmost sure central limit theoremmultiindex

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Related Items (8)

Almost sure versions of limit theorems for random sums of multiindex random variables ⋮ On the almost sure limit theorem for the joint version of maxima and minima of non-stationary random fields ⋮ A general result in almost sure central limit theory for random fields ⋮ Almost sure central limit theorems for the maxima of randomly chosen random variables ⋮ The almost sure central limit theorems for the maxima of sums under some new weak dependence assumptions ⋮ A note on the almost sure central limit theorem for negatively associated fields ⋮ Almost sure max-limits for nonstationary Gaussian sequence ⋮ Almost sure limit theorems for random sums of multiindex random variables

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