Laws of the single logarithm for delayed sums of random fields
Allan Gut and Ulrich Stadtmüller
Source: Bernoulli Volume 14, Number 1 (2008), 249-276.
Abstract
We extend a law of the single logarithm for delayed sums by Lai to delayed sums of random fields. A law for subsequences, which also includes the one-dimensional case, is obtained in passing.
Keywords: delayed sums; law of the iterated logarithm; law of the single logarithm; multidimensional indices; random fields; sums of i.i.d. random variables; window
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bj/1202492793
Digital Object Identifier: doi:10.3150/07-BEJ103
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