We investigate the relationship between the bounded law of the iterated logarithm and the compact law of the iterated logarithm for Banach space valued random variables through the cluster set of $S_n/a_n$. Some rate of escape questions are also examined.
Publié le : 1981-06-14
Classification:
Law of the iterated logarithm,
cluster set,
central limit theorem,
rates of escape,
60B05,
60B10,
60F10,
28A40
@article{1176994412,
author = {Kuelbs, J.},
title = {When is the Cluster Set of $S\_n/a\_n$ Empty?},
journal = {Ann. Probab.},
volume = {9},
number = {6},
year = {1981},
pages = { 377-394},
language = {en},
url = {http://dml.mathdoc.fr/item/1176994412}
}
Kuelbs, J. When is the Cluster Set of $S_n/a_n$ Empty?. Ann. Probab., Tome 9 (1981) no. 6, pp. 377-394. http://gdmltest.u-ga.fr/item/1176994412/