Martingale approximations for random fields
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Publication:1748583
DOI10.1214/18-ECP128zbMath1390.60186arXiv1708.08492OpenAlexW2963307642MaRDI QIDQ1748583
Publication date: 11 May 2018
Published in: Electronic Communications in Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.08492
Random fields (60G60) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Generalizations of martingales (60G48)
Related Items (7)
On the weak invariance principle for non-adapted stationary random fields under projective criteria ⋮ Bound on the maximal function associated to the law of the iterated logarithms for Bernoulli random fields ⋮ An exponential inequality for orthomartingale difference random fields and some applications ⋮ Functional central limit theorem via nonstationary projective conditions ⋮ On the quenched central limit theorem for stationary random fields under projective criteria ⋮ Maximal function associated to the bounded law of the iterated logarithms via orthomartingale approximation ⋮ Quenched invariance principles for orthomartingale-like sequences
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