Strong Convergence Properties and Strong Stability for Weighted Sums of AANA Random Variables. (8th December 2013)

• Record Type: Journal Article
• Authors: Chen, Zhiyong; Hu, Shuhe; Ling, Jimin; Wang, Xuejun
• Other Names: Giné Jaume Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-12-08
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/295041
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The Khintchine-Kolmogorov-type convergence theorem and three-series theorem for AANA random variables are established. By using these convergence theorems, we obtain convergence results for AANA sequences, which extend the corresponding ones for independent sequences and NA sequences. In addition, we study the strong stability for weighted sums of AANA random variables and obtain some new results, which extend some earlier ones for NA random variables.