On the strong law of large numbers for weighted sums of φ-mixing random variables
نویسندگان
چکیده
منابع مشابه
On the Strong Law of Large Numbers for Weighted Sums of Φ –mixing Random Variables
Let {Xn,n 1} be a sequence of φ -mixing random variables with non-identical distribution and {ani;1 i n,n 1} be an array of real constants. In this paper, we study the strong law of large numbers for the maximal weighted sums of φ -mixing random variables. The results obtained generalize and improve the previous known result of Bai and Cheng (Z.D. Bai and P.E. Cheng, 2000. Marcinkiewicz strong ...
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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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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2014
ISSN: 1846-579X
DOI: 10.7153/jmi-08-34