Year: 2014
Author: Yu Zhou, Fengxi Xia, Yan Chen, Xuejun Wang
Journal of Mathematical Study, Vol. 47 (2014), Iss. 3 : pp. 287–294
Abstract
Let {Xn,n≥1} be a sequence of negatively superadditive dependent (NSD, in short) random variables and {ank,1≤k≤n,n≥1} be an array of real numbers. Under some suitable conditions, we present some results on complete convergence for weighted sums ∑nk=1ankXk of NSD random variables by using the Rosenthal type inequality. The results obtained in the paper generalize some corresponding ones for independent random variables and negatively associated random variables.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v47n3.14.04
Journal of Mathematical Study, Vol. 47 (2014), Iss. 3 : pp. 287–294
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Negatively superadditive dependent random variables Rosenthal type inequality complete convergence.