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Strong Convergence Properties and Strong Stability for Weighted Sums of AANA Random Variables

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  • Zhiyong Chen
  • Shuhe Hu
  • Jimin Ling
  • Xuejun Wang

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.

Suggested Citation

  • Zhiyong Chen & Shuhe Hu & Jimin Ling & Xuejun Wang, 2013. "Strong Convergence Properties and Strong Stability for Weighted Sums of AANA Random Variables," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, December.
    • Handle: RePEc:hin:jnlaaa:295041
    DOI: 10.1155/2013/295041
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