Geodesic
On complete moment convergence for weighted sums of negatively superadditive dependent random variables
Applications of Mathematics, Tome 65 (2020) no. 4, pp. 355-377.

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In this work, the complete moment convergence and complete convergence for weighted sums of negatively superadditive dependent (NSD) random variables are studied, and some equivalent conditions of these strong convergences are established. These main results generalize and improve the corresponding theorems of Baum and Katz (1965) and Chow (1988) to weighted sums of NSD random variables without the assumption of identical distribution. As an application, a Marcinkiewicz-Zygmund-type strong law of large numbers for weighted sums of NSD random variables is obtained.
DOI : 10.21136/AM.2020.0255-18
Classification : 60F15
Keywords: NSD random variables; complete moment convergence; weighted sum; equivalent conditions 
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Huang, Haiwu; Lu, Xuewen. On complete moment convergence for weighted sums of negatively superadditive dependent random variables. Applications of Mathematics, Tome 65 (2020) no. 4, pp. 355-377. doi : 10.21136/AM.2020.0255-18. http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0255-18/

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