Geodesic
Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables
Kybernetika, Tome 51 (2015) no. 6, pp. 960-972 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper, the authors further studied the complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated (AANA) random variables with non-identical distribution under some mild moment conditions. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of AANA random variables is obtained. The results not only generalize the corresponding ones of Wang et al. [19], but also partially improve the corresponding ones of Huang et al. [8].
In this paper, the authors further studied the complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated (AANA) random variables with non-identical distribution under some mild moment conditions. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of AANA random variables is obtained. The results not only generalize the corresponding ones of Wang et al. [19], but also partially improve the corresponding ones of Huang et al. [8].
DOI : 10.14736/kyb-2015-6-0960
Classification : 60F15
Keywords: arrays of rowwise AANA random variables; complete convergence; Marcinkiewicz–Zygmund type strong law of large numbers; weighted sums 
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     title = {Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables},
     journal = {Kybernetika},
     pages = {960--972},
     year = {2015},
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     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-6-0960/}
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Huang, Haiwu; Zhang, Hanjun; Zhang, Qingxia; Peng, Jiangyan. Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables. Kybernetika, Tome 51 (2015) no. 6, pp. 960-972. doi: 10.14736/kyb-2015-6-0960

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