CHOVER-KLESOV-TYPE LAW OF ITERATED LOGARITHM FOR SUMS OF RANDOM FIELDS
Let and Let be a field of i.i.d. real-valued random variables, where is the d-dimensional lattice. Let where the symbol £ denotes coordinate-wise ordering in For define In this paper, we study the Chover-Klesov-type law of iterated logarithm for sums of random fields and obtain necessary and sufficient conditions for
almost surely.
Our results, in particular, extend the work by Li and Chen [11] from the case of to the case of and give a simple and precise characterization of the Chover-Klesov law of the iterated logarithm for sums of random fields.
Chover-Klesov-type law of the iterated logarithm, law of the iterated logarithm, random fields, strong law of large numbers.