Limit theorems for weighted Bernoulli random fields under Hannan's condition

DOI10.1016/j.spa.2015.12.006zbMath1336.60069arXiv1504.01419OpenAlexW2962907050MaRDI QIDQ271857

Jana Klicnarová, Yizao Wang, Dalibor Volný

Publication date: 20 April 2016

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01419

zbMATH Keywords

invariance principlesstationaritycentral limit theoremsGaussian random fields\(m\)-dependent approximationHannan's conditionweighted Bernoulli random fields

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Functional limit theorems; invariance principles (60F17)

Related Items (4)

Erratum to: ``An invariance principle for stationary random fields under Hannan's condition ⋮ Bound on the maximal function associated to the law of the iterated logarithms for Bernoulli random fields ⋮ A central limit theorem for fields of martingale differences ⋮ Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields

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