Abstract:
A variant of the law of the iterated logarithm for associated fields for which the indexing set for partial sums can be arbitrarily unbounded is proved. Depending on the structure of this set, an explicit value of the upper limit in the law of the iterated logarithm is given.
Keywords:law of the iterated logarithm, associated random field, indexing set, multi-indexed random variable, covariance function, Cox–Grimmet coefficients, Bolthausen theorem.
Fulltext:
PDF file (523 kB)
