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.
Publié le : 2008-02-15
Classification:
delayed sums,
law of the iterated logarithm,
law of the single logarithm,
multidimensional indices,
random fields,
sums of i.i.d. random variables,
window
@article{1202492793,
author = {Gut, Allan and Stadtm\"uller, Ulrich},
title = {Laws of the single logarithm for delayed sums of random fields},
journal = {Bernoulli},
volume = {14},
number = {1},
year = {2008},
pages = { 249-276},
language = {en},
url = {http://dml.mathdoc.fr/item/1202492793}
}
Gut, Allan; Stadtmüller, Ulrich. Laws of the single logarithm for delayed sums of random fields. Bernoulli, Tome 14 (2008) no. 1, pp. 249-276. http://gdmltest.u-ga.fr/item/1202492793/