This note provides necessary and sufficient conditions for the law of large numbers for partial sum processes indexed by sets of $\lbrack 0, 1\rbrack^d$ and based on i.i.d. integrable random variables.
Publié le : 1987-01-14
Classification:
Weak and strong laws of large numbers,
partial sum processes,
metric entropy,
60F15,
60G50
@article{1176992261,
author = {Gine, Evarist and Zinn, Joel},
title = {The Law of Large Numbers for Partial Sum Processes Indexed by Sets},
journal = {Ann. Probab.},
volume = {15},
number = {4},
year = {1987},
pages = { 154-163},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992261}
}
Gine, Evarist; Zinn, Joel. The Law of Large Numbers for Partial Sum Processes Indexed by Sets. Ann. Probab., Tome 15 (1987) no. 4, pp. 154-163. http://gdmltest.u-ga.fr/item/1176992261/