We identify the possible cluster sets for a general lawof the
iterated logarithm in the Banach space setting,and showthat all the possible
limit sets arise as cluster sets for some random vector in an arbitrary
separable Banach space. This extends previous results obtained in .nite
dimensional Euclidean spaces.
Publié le : 2001-10-14
Classification:
Cluster sets,
generalized Banach space LIL,
60B11,
60B12,
60F15,
28C20
@article{1015345758,
author = {Einmahl, U. and Kuelbs, J.},
title = {Cluster Sets for a Generalized Law of the Iterated Logarithm in
Banch Spaces},
journal = {Ann. Probab.},
volume = {29},
number = {1},
year = {2001},
pages = { 1451-1475},
language = {en},
url = {http://dml.mathdoc.fr/item/1015345758}
}
Einmahl, U.; Kuelbs, J. Cluster Sets for a Generalized Law of the Iterated Logarithm in
Banch Spaces. Ann. Probab., Tome 29 (2001) no. 1, pp. 1451-1475. http://gdmltest.u-ga.fr/item/1015345758/