Title : ( A Note on the Strong Law of Large Numbers )
Authors: Vahid Fakoor , Hassan Ali Azarnoosh ,
Full TextAbstract
Petrov (1996) proved the connection between general moment conditions and the applicability of the strong law of large numbers to a sequence of pairwise independent and identically distributed random variables. This note examines this connection to a sequence of pairwise negative quadrant dependent (NQD) and identically distributed random variables. As a consequence of the main theorem (Theorem 2.1), we arrive at an improvement of Marcinkiewicz– Zygmund theorem for pairwise NQD random variables
Keywords
, General moment conditions, pairwise negative quadrant dependent, strong law of large numbers
@article{paperid:1006793,
author = {Fakoor, Vahid and Azarnoosh, Hassan Ali},
title = {A Note on the Strong Law of Large Numbers},
journal = {Journal of the Iranian Statistical Society},
year = {2005},
month = {February},
issn = {1726-4057},
pages = {107--111},
numpages = {4},
keywords = {General moment conditions; pairwise negative quadrant
dependent; strong law of large numbers},
}
%0 Journal Article
%T A Note on the Strong Law of Large Numbers
%A Fakoor, Vahid
%A Azarnoosh, Hassan Ali
%J Journal of the Iranian Statistical Society
%@ 1726-4057
%D 2005
