Maximal function associated to the bounded law of the iterated logarithms via orthomartingale approximation

Maximal function associated to the bounded law of the iterated logarithms via orthomartingale approximation

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 condit...

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Veröffentlicht in:Journal of mathematical analysis and applications 2021-04, Vol.496 (1), p.124792, Article 124792
1. Verfasser: Giraudo, Davide
Format: Artikel
Sprache:eng
Schlagworte:
Bounded law of the iterated logarithms
Random fields
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Zusammenfassung: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2020.124792