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

Autores: André Adler
Localización: Stochastica: revista de matemática pura y aplicada, ISSN 0210-7821, Vol. 12, Nº. 2-3, 1988, págs. 235-240
Idioma: inglés
Títulos paralelos:
- Una nota sobre el comportamiento límitador casi seguro del máximo de una sucesión de sumas parciales.
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Resumen
- 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.