ON THE STRONG LAW OF LARGE NUMBERS FOR WEIGHTED SUMS OF NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES
نویسندگان
چکیده
منابع مشابه
On the Strong Law of Large Numbers for Weighted Sums of Negatively Superadditive Dependent Random Variables
Let {Xn, n ≥ 1} be a sequence of negatively superadditive dependent random variables. In the paper, we study the strong law of large numbers for general weighted sums 1 g(n) ∑n i=1 Xi h(i) of negatively superadditive dependent random variables with non-identical distribution. Some sufficient conditions for the strong law of large numbers are provided. As applications, the Kolmogorov strong law ...
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In the following work we present a proof for the strong law of large numbers for pairwise negatively dependent random variables which relaxes the usual assumption of pairwise independence. Let be a double sequence of pairwise negatively dependent random variables. If for all non-negative real numbers t and , for 1 < p < 2, then we prove that (1). In addition, it also converges to 0 in ....
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2016
ISSN: 0304-9914
DOI: 10.4134/jkms.2016.53.1.045