A note on the almost sure limiting behavior of the maximun of a sequence of partial sums.

Adler, André. "A note on the almost sure limiting behavior of the maximun of a sequence of partial sums.." Stochastica 12.2-3 (1988): 235-240. <http://eudml.org/doc/39003>.

@article{Adler1988,
abstract = {The goal of this paper is to show that, in most strong laws of large numbers, the nth partial sum can be replaced with the largest of the first n sums. Moreover it is shown that the usual assumptions of independence and common distribution are unnecessary and that these results apply also to strong laws for Banach valued random elements.},
author = {Adler, André},
journal = {Stochastica},
keywords = {Ley de los grandes números; Generalización; Sumas parciales; maximum of a sequence of partial sums; strong laws of large numbers; strong laws for Banach valued random elements},
language = {eng},
number = {2-3},
pages = {235-240},
title = {A note on the almost sure limiting behavior of the maximun of a sequence of partial sums.},
url = {http://eudml.org/doc/39003},
volume = {12},
year = {1988},
}

TY - JOUR
AU - Adler, André
TI - A note on the almost sure limiting behavior of the maximun of a sequence of partial sums.
JO - Stochastica
PY - 1988
VL - 12
IS - 2-3
SP - 235
EP - 240
AB - The goal of this paper is to show that, in most strong laws of large numbers, the nth partial sum can be replaced with the largest of the first n sums. Moreover it is shown that the usual assumptions of independence and common distribution are unnecessary and that these results apply also to strong laws for Banach valued random elements.
LA - eng
KW - Ley de los grandes números; Generalización; Sumas parciales; maximum of a sequence of partial sums; strong laws of large numbers; strong laws for Banach valued random elements
UR - http://eudml.org/doc/39003
ER -