Bound on the maximal function associated to the bounded law of the iterated logarithms via orthomartingale approximation
Probability
2021-03-30 v2
Abstract
We give sufficient conditions for the bounded law of the iterated logarithms for strictly stationary random fields when the summation is done on rectangle. The study is done by the control of an appropriated maximal function. The case of orthomartingales is treated. Then results on projective conditions are derived.
Keywords
Cite
@article{arxiv.2003.08292,
title = {Bound on the maximal function associated to the bounded law of the iterated logarithms via orthomartingale approximation},
author = {Davide Giraudo},
journal= {arXiv preprint arXiv:2003.08292},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1909.10943