Geodesic
On the strong convergence for weighted sums of asymptotically almost negatively associated random variables
Kybernetika, Tome 50 (2014) no. 3, pp. 393-407
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Applying the moment inequality of asymptotically almost negatively associated (AANA, in short) random variables which was obtained by Yuan and An (2009), some strong convergence results for weighted sums of AANA random variables are obtained without assumptions of identical distribution, which generalize and improve the corresponding ones of Zhou et al. (2011), Sung (2011, 2012) to the case of AANA random variables, respectively.
Applying the moment inequality of asymptotically almost negatively associated (AANA, in short) random variables which was obtained by Yuan and An (2009), some strong convergence results for weighted sums of AANA random variables are obtained without assumptions of identical distribution, which generalize and improve the corresponding ones of Zhou et al. (2011), Sung (2011, 2012) to the case of AANA random variables, respectively.
DOI : 10.14736/kyb-2014-3-0393
Classification : 60F15
Keywords: AANA random variables; strong convergence; weighted sums 
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Huang, Haiwu; Deng, Guangming; Zhang, QingXia; Jiang, Yuanying. On the strong convergence for weighted sums of asymptotically almost negatively associated random variables. Kybernetika, Tome 50 (2014) no. 3, pp. 393-407. doi: 10.14736/kyb-2014-3-0393

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