Laws of the single logarithm for delayed sums of random fields

Allan Gut; Ulrich Stadtmüller

doi:10.3150/07-BEJ103

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Home > Journals > Bernoulli > Volume 14 > Issue 1 > Article

February 2008 Laws of the single logarithm for delayed sums of random fields

Allan Gut, Ulrich Stadtmüller

Bernoulli 14(1): 249-276 (February 2008). DOI: 10.3150/07-BEJ103

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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.

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Allan Gut. Ulrich Stadtmüller. "Laws of the single logarithm for delayed sums of random fields." Bernoulli 14 (1) 249 - 276, February 2008. https://doi.org/10.3150/07-BEJ103

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Published: February 2008

First available in Project Euclid: 8 February 2008

zbMATH: 1160.60011

MathSciNet: MR2401662

Digital Object Identifier: 10.3150/07-BEJ103

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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