COMPLETE CONVERGENCE AND CESARO SUMMATION FOR IID RANDOM-VARIABLES

Authors
GUT A
Citation
A. Gut, COMPLETE CONVERGENCE AND CESARO SUMMATION FOR IID RANDOM-VARIABLES, Probability theory and related fields, 97(1-2), 1993, pp. 169-178
Citations number
35
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Probability theory and related fields → ACNP
ISSN journal
01788051
Volume
97
Issue
1-2
Year of publication
1993
Pages
169 - 178
Database
ISI
SICI code
0178-8051(1993)97:1-2<169:CCACSF>2.0.ZU;2-C
Abstract
Various results generalizing summation methods for divergent series of real numbers to analogous results for independent, identically distri buted random variables have appeared during the last two decades. The main result of this paper provides necessary and sufficient conditions for the complete convergence of the Cesaro means of i.i.d. random var iables.