On the strong law of large numbers for delayed sums and random fields
2010 (English)In: Acta Mathematica Hungarica, ISSN 0236-5294, E-ISSN 1588-2632, Vol. 129, no 1-2, 182-203 p.Article in journal (Refereed) Published
A paper by Chow  contains (i.a.) a strong law for delayed sums, such that the length of the edge of the nth window equals n (alpha) for 0 < alpha < 1. In this paper we consider the kind of intermediate case when edges grow like n=L(n), where L is slowly varying at infinity, thus at a higher rate than any power less than one, but not quite at a linear rate. The typical example one should have in mind is L(n) = log n. The main focus of the present paper is on random field versions of such strong laws.
Place, publisher, year, edition, pages
2010. Vol. 129, no 1-2, 182-203 p.
delayed sums, window, slowly varying function, strong law of large numbers, random field, de Bruijn conjugate
IdentifiersURN: urn:nbn:se:uu:diva-134654DOI: 10.1007/s10474-010-9272-xISI: 000282167700012OAI: oai:DiVA.org:uu-134654DiVA: diva2:373793