Complete convergence for weighted sums of arrays of APND random variables

H. R. Nili Sani, M. Amini and A. Bozorgnia

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 10, 2425-2431

Abstract: In this note, we introduce a new class of dependent random variables (henceforth rvs), together with some its basic properties. This class includes independent rvs and pairwise negatively dependent rvs. Some extensions of Ranjbar et al. (2008) are discussed. The complete convergence for the new class of rvs is also proved, and some results of Beak and Park (2010) are extended to this class conveniently.

Date: 2018
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DOI: 10.1080/03610926.2016.1205623

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