Bound on the maximal function associated to the law of the iterated logarithms for Bernoulli random fields

DOI10.1080/17442508.2021.1920942zbMath1492.60141arXiv1909.10943OpenAlexW3159481764MaRDI QIDQ5086905

Davide Giraudo

Publication date: 8 July 2022

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.10943

zbMATH Keywords

random fieldsbounded law of the iterated logarithms

Mathematics Subject Classification ID

Random fields (60G60) Stationary stochastic processes (60G10)

Cites Work

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• A CLT for multi-dimensional martingale differences in a lexicographic order
• Generalization of the law of the iterated logarithm for associated random fields
• Limit theorems for weighted Bernoulli random fields under Hannan's condition
• A central limit theorem for linear random fields
• An invariance principle for stationary random fields under Hannan's condition
• Exponential inequalities for self-normalized martingales with applications
• Distribution function inequalities for martingales
• Invariance principle for martingale-difference random fields
• Some laws of the iterated logarithm for two parameter martingales
• On the normal approximation for random fields via martingale methods
• Martingale approximations for random fields
• Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments
• Some almost sure results for unbounded functions of intermittent maps and their associated Markov chains
• Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields
• A compact LIL for martingales in \(2\)-smooth Banach spaces with applications
• Invariance principles for self-similar set-indexed random fields
• One moment estimate for the supremum of normalized sums in the law of the iterated logarithm
• On functional central limit theorem for stationary martingale random fields
• Exponential inequalities and functional central limit theorems for random fields
• A local limit theorem for linear random fields
• The law of the iterated logarithm for an associated random field
• Nonlinear system theory: Another look at dependence
• A central limit theorem for stationary random fields
• A central limit theorem for fields of martingale differences

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