CONVERGENCE OF WEIGHTED SUMS FOR DEPENDENT RANDOM VARIABLES

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2004 English Publisher:The Korean Mathematical SocietyJournal:Journal of the Korean Mathematical Society, volume 41, pages 883-894 (issn: 0304-9914,

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Authors: Liang, Han-Ying; Zhang, Dong-Xia; Baek, Jong-Il;

doi: 10.4134/jkms.2004.41.5.883

CONVERGENCE OF WEIGHTED SUMS FOR DEPENDENT RANDOM VARIABLES

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Abstract

Summary: We discuss the strong convergence for weighted sums of negatively associated (in abbreviation: NA) arrays. Meanwhile, the central limit theorem for weighted sums of NA variables and linear process based on NA variables is also considered. As corollary, we get the results on i.i.d. of \textit{D. Li}, \textit{M. B. Rao}, \textit{T. Jiang} and \textit{X. Wang} [J. Theor. Probab. 8, 49--76 (1995; Zbl 0814.60026)] in NA setting.

Keywords

strong convergence, Strong limit theorems, negatively associated random variable, Cesàro mean, central limit theorem, weighted sum

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