On the strong law of large numbers

This note examines the connection between general moment conditions and the applicability of the strong law of large numbers to a sequence of identically distributed random variables. Some generalizations of the Marcinkiewicz-Zygmund theorem are obtained.

Saved in:
Bibliographic Details
Published in:Statistics & probability letters 1996-03, Vol.26 (4), p.377-380
Main Author: Petrov, Valentin V.
Format: Article
Language:English
Subjects:
General moment conditions
Pairwise independence
Strong law of large numbers
Strong law of large numbers Sums of random variables Pairwise independence General moment conditions
Sums of random variables
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This note examines the connection between general moment conditions and the applicability of the strong law of large numbers to a sequence of identically distributed random variables. Some generalizations of the Marcinkiewicz-Zygmund theorem are obtained.
ISSN:0167-7152
1879-2103
DOI:10.1016/0167-7152(95)00034-8