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Strong Convergence Properties for Asymptotically Almost Negatively Associated Sequence

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  • Xueping Hu
  • Guohua Fang
  • Dongjin Zhu

Abstract

By applying the moment inequality for asymptotically almost negatively associated (in short AANA ) random sequence and truncated method, we get the three series theorems for AANA random variables. Moreover, a strong convergence property for the partial sums of AANA random sequence is obtained. In addition, we also study strong convergence property for weighted sums of AANA random sequence.

Suggested Citation

  • Xueping Hu & Guohua Fang & Dongjin Zhu, 2012. "Strong Convergence Properties for Asymptotically Almost Negatively Associated Sequence," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-8, October.
    • Handle: RePEc:hin:jnddns:562838
    DOI: 10.1155/2012/562838
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    Cited by:

    1. Yu Zhang, 2023. "Asymptotic Normality of M-Estimator in Linear Regression Model with Asymptotically Almost Negatively Associated Errors," Mathematics, MDPI, vol. 11(18), pages 1-16, September.

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