On complete moment convergence for nonstationary negatively associated random variables

Abstract

Abstract The purpose of this paper is to establish the complete moment convergence for nonstationary negatively associated random variables satisfying the weak mean domination condition. The result is an improvement of complete convergence in Marcinkiewicz-Zygmund-type SLLN for negatively associated random variables in Kuczmaszewska (Acta Math. Hung. 128:116-130, 2010).

Keywords

• complete moment convergence
• negative association
• nonstationary
• weak mean domination