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).
Highlights
A sequence of random variables {Xn, n ≥ } is said to converge completely to a constant c if ∞ n= P(|Xn c| > ) < ∞ for all>
This concept of complete convergence was introduced by Hsu and Robbins [ ]
We prove the complete moment convergence for sequences of negatively associated random variables satisfying a weak mean dominating condition
Summary
A sequence of random variables {Xn, n ≥ } is said to converge completely to a constant c if Chow [ ] first showed the complete moment convergence for a sequence of i.i.d. random variables by generalizing the result of Baum and Katz [ ]. Kuczmaszewska [ ] proved the complete convergence for a sequence of negatively associated random variables satisfying
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
