Journal of the Iranian Statistical Society, Year (2005-2) , Pages (107-111)

Title : ( A Note on the Strong Law of Large Numbers )

Authors: Vahid Fakoor , Hassan Ali Azarnoosh ,

Citation: BibTeX | EndNote

Abstract

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