On the complete convergence of weighted sums for an array of rowwise negatively superadditive dependent random variables
نویسندگان
چکیده
منابع مشابه
On the complete convergence of weighted sums for an array of rowwise negatively superadditive dependent random variables
ABSTRACT: In this paper, the complete convergence and the complete moment convergence of weighted sums for an array of negatively superadditive dependent random variables are established. The results generalize the Baum-Katz theorem on negatively superadditive dependent random variables. In particular, the Marcinkiewicz-Zygmund type strong law of large numbers of weights sums for sequences of n...
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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 ∑k=1ankXk of NSD random variables by using the Rosenthal type inequality. The results obtained in the paper generalize some corresponding one...
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ژورنال
عنوان ژورنال: ScienceAsia
سال: 2016
ISSN: 1513-1874
DOI: 10.2306/scienceasia1513-1874.2016.42.066