A new proof of the Hartman-Wintner law of the iterated logarithm is given. The main new ingredient is a simple exponential inequality. The same method gives a new, simpler proof of a basic result of Kuelbs on the LIL in the Banach space setting.
Publié le : 1983-05-14
Classification:
Hartman-Wintner law of the iterated logarithm,
exponential inequality,
cluster set,
law of the iterated logarithm in Banach spaces,
60B05,
60F05,
60F10,
60F15
@article{1176993596,
author = {de Acosta, Alejandro},
title = {A New Proof of the Hartman-Wintner Law of the Iterated Logarithm},
journal = {Ann. Probab.},
volume = {11},
number = {4},
year = {1983},
pages = { 270-276},
language = {en},
url = {http://dml.mathdoc.fr/item/1176993596}
}
de Acosta, Alejandro. A New Proof of the Hartman-Wintner Law of the Iterated Logarithm. Ann. Probab., Tome 11 (1983) no. 4, pp. 270-276. http://gdmltest.u-ga.fr/item/1176993596/