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《Acta Mathematica Sinica》 2013年04期
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Almost Sure Convergence Theorem and Strong Stability for Weighted Sums of NSD Random Variables

Yan SHEN  Xue Jun WANG  Wen Zhi YANG  Shu He HU  
【摘要】:In this paper, Kolmogorov-type inequality for negatively superadditive dependent (NSD) random variables is established. By using this inequality, we obtain the almost sure convergence for NSD sequences, which extends the corresponding results for independent sequences and negatively associated (NA) sequences. In addition, the strong stability for weighted sums of NSD random variables is studied.

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