Year: 2019
Author: Xiang Sun, Zhao-Yang Liu, Yan Shen, Ke-Chao Zhang
Journal of Mathematical Study, Vol. 52 (2019), Iss. 1 : pp. 30–37
Abstract
In this paper, we investigate the complete moment convergence and complete convergence for randomly weighted sums of negatively superadditive dependent (NSD, in short) random variables. The results obtained in the paper generalize the convergence theorem for constant weighted sums to randomly weighted sums of dependent random variables. In addition, strong law of large numbers for NSD sequence is obtained.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v52n1.19.03
Journal of Mathematical Study, Vol. 52 (2019), Iss. 1 : pp. 30–37
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Complete moment convergence randomly weighted negatively superadditive dependent random variables.