Strong Laws for Blockwise ℳ-Dependent Random Fields

Ferenc Móricz, Ulrich Stadtmüller () and Monika Thalmaier
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Ferenc Móricz: University of Szeged
Ulrich Stadtmüller: University of Ulm
Monika Thalmaier: University of Ulm

Journal of Theoretical Probability, 2008, vol. 21, issue 3, 660-671

Abstract: Abstract We consider random fields and introduce a concept of ℳ-dependence for random fields. Using a lemma from summability theory we prove strong laws of large numbers for blockwise ℳ-dependent random fields under various moment conditions, thereby generalizing some results in the literature from independent random fields.

Keywords: Random fields; Strong laws; ℳ-dependence; Blockwise summability; 60F15 (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10959-007-0127-5

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