On the quenched central limit theorem for stationary random fields under projective criteria

DOI10.1007/s10959-019-00943-8zbMath1469.60168arXiv1809.08686OpenAlexW2976523925MaRDI QIDQ2209326

Na Zhang, Magda Peligrad, Lucas Reding

Publication date: 30 October 2020

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.08686

zbMATH Keywords

random fieldsquenched central limit theoremprojective criteriaortho-martingale approximation

Mathematics Subject Classification ID

Random fields (60G60) Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Generalizations of martingales (60G48) Approximation by other special function classes (41A30)

Related Items (5)

On the weak invariance principle for non-adapted stationary random fields under projective criteria ⋮ An exponential inequality for orthomartingale difference random fields and some applications ⋮ Unnamed Item ⋮ Maximal function associated to the bounded law of the iterated logarithms via orthomartingale approximation ⋮ Randomized multivariate central limit theorems for ergodic homogeneous random fields

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