Abstract
Let { X n i , i ≥ 1 , n ≥ 1 } Open image in new window be an array of rowwise ρ ˜ Open image in new window-mixing random variables. Some sufficient conditions for complete convergence for weighted sums of arrays of rowwise ρ ˜ Open image in new window-mixing random variables are presented without assumptions of identical distribution. As applications, the Baum and Katz type result and the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of ρ ˜ Open image in new window-mixing random variables are obtained.
Highlights
The concept of complete convergence was introduced by Hsu and Robbins [ ] as follows
The main purpose of this paper is to further study the complete convergence for weighted sums of arrays of rowwise ρ-mixing random variables under mild conditions
We give some sufficient conditions for complete convergence for weighted sums of arrays of rowwise ρ-mixing random variables without assumption of identical distribution
Summary
The main purpose of the paper is to provide complete convergence for weighted sums of arrays of rowwise ρ-mixing random variables. An and Yuan [ ] obtained a complete convergence result for weighted sums of identically distributed ρ-mixing random variables as follows. ) does not exist and obtained a new complete convergence result for weighted sums of identically distributed ρ-mixing random variables as follows.
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.
