Generalización del teorema de Hanson y Russo para B-variables aleatorias

  1. Hernández, Víctor
  2. Romo Urroz, Juan José
Journal:
Trabajos de estadística

ISSN: 0213-8190

Year of publication: 1986

Volume: 1

Issue: 1

Pages: 42-59

Type: Article

DOI: 10.1007/BF02873510 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Trabajos de estadística

Abstract

In this paper we give a generalization of the theorem of D. L. Hanson and R. P. Russo to the i.i.d., Banach valued r.v.'s, let Sn = X1 + X2 + ... + Xn. We give conditions under which máx(np/a=j=n) j-1/p ||Sn - Sn-j|| ? 0, almost sure, when n ? 8