Generalization of the law of the iterated logarithm for associated random fields

DOI10.1134/S0001434615110127zbMath1337.60037OpenAlexW2270358967MaRDI QIDQ268088

A. P. Shashkin

Publication date: 14 April 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615110127

zbMATH Keywords

covariance functionlaw of the iterated logarithmassociated random fieldBolthausen theoremCox-Grimmet coefficientsmulti-indexed random variable

Mathematics Subject Classification ID

Random fields (60G60) Strong limit theorems (60F15)

Related Items (1)

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

Cites Work

• Between the LIL and the LSL
• A remark on the multiparameter law of the iterated logarithm
• Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments
• On strong convergence of arrays
• Rate of convergence in the functional law of the iterated logarithm with non-standard normalizing factors
• Some Sample Function Properties of the Two-parameter Gaussian Process
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