On the complete convergence for arrays of rowwise ψ-mixing random variables
نویسندگان
چکیده
منابع مشابه
On complete convergence for arrays of rowwise dependent random variables
This paper establishes two results for complete convergence in the law of large numbers for arrays under %-mixing and ~ %-mixing association in rows. They extend several known results. AMS classi cation: 60F15
متن کاملOn Complete Convergence for Arrays of Rowwise -Mixing Random Variables and Its Applications
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We give out a general method to prove the complete convergence for arrays of rowwise ρ-mixing random variables and to present some results on complete convergence under some suitable conditions. Some results generalize previous known r...
متن کاملComplete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables
The complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables is investigated. By using moment inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables are obtained. The results of Ahmed et al. 2002 are complemented. As an application, the complete moment conver...
متن کاملComplete convergence for weighted sums of arrays of rowwise rho-mixing random variables
Let {Xni , i≥ 1,n≥ 1} be an array of rowwise ρ̃-mixing random variables. Some sufficient conditions for complete convergence for weighted sums of arrays of rowwise ρ̃-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 ρ̃-mixing random vari...
متن کاملComplete convergence and complete moment convergence for arrays of rowwise ANA random variables
In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables. The results obtained not only generalize the corresponding ones of Sung (Stat. Pap. 52:447-454, 2011), Zhou et al. (J. Inequal. Appl. 2011:157816, 2011), and Sung (Stat. Pap. 54:773-781, 2013) to the case of ANA ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2013
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2013-393