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

Stochastica (1988)

- Volume: 12, Issue: 2-3, page 235-240
- ISSN: 0210-7821

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topAdler, 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 -

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