On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables
Keyword(s):
A rate of complete convergence for weighted sums of arrays of rowwise independent random variables was obtained by Sung and Volodin (2011). In this paper, we extend this result to negatively associated and negatively dependent random variables. Similar results for sequences ofφ-mixing andρ*-mixing random variables are also obtained. Our results improve and generalize the results of Baek et al. (2008), Kuczmaszewska (2009), and Wang et al. (2010).
2018 ◽
Vol 48
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pp. 1351-1366
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pp. 4741-4750
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