This paper explores the strong law of large numbers in the infinite dimensional setting. It is shown that under several classical conditions--such as the Kolmogorov condition--the strong law holds if and only if the weak law holds.
Publié le : 1979-02-14
Classification:
Strong law of large numbers,
weak law of large numbers,
Erdos double truncation,
exponential inequalities,
60B05,
60F15,
60F05,
60F10
@article{1176995149,
author = {Kuelbs, J. and Zinn, Joel},
title = {Some Stability Results for Vector Values Random Variables},
journal = {Ann. Probab.},
volume = {7},
number = {6},
year = {1979},
pages = { 75-84},
language = {en},
url = {http://dml.mathdoc.fr/item/1176995149}
}
Kuelbs, J.; Zinn, Joel. Some Stability Results for Vector Values Random Variables. Ann. Probab., Tome 7 (1979) no. 6, pp. 75-84. http://gdmltest.u-ga.fr/item/1176995149/