Laws of the single logarithm for delayed sums of random fields

Mathematics – Statistics Theory

Scientific paper

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Published in at http://dx.doi.org/10.3150/07-BEJ103 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statisti

Scientific paper

10.3150/07-BEJ103

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.

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