Complete f-moment convergence for negatively superadditive dependent random variables
نویسندگان
چکیده
منابع مشابه
Complete Convergence forWeighted Sums of Negatively Superadditive Dependent Random Variables
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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Let {Xn, n ≥ 1} be a sequence of independent and identically random variables. In 1947 Hsu and Rabbins proved that if E[X] = 0 and E[X2] < ∞, then 1 n ∑n k=1Xk converges to 0 completely. Recently, the strong convergence of weighted sums for the case of independent random variables has been discussed by Wu (1999), Hu and et. (2000, 2003) proved the complete convergence theorem for arrays of inde...
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Let {Xn, n ≥ 1} be a sequence of i.i.d., real random variables. Hsu and Rabbins [5] proved that if E(X) = 0 and E(X) < ∞, then the sequence 1 n ∑n i=1 Xi converges to 0 completely. (i.e., the series ∑∞ n=1 P [|Sn| > nε] < ∞, converges for every ε > 0). Now let {Xn, n ≥ 1} be a sequence of negatively dependent real random variables. In this paper, we proved the complete convergence of the sequen...
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We study the limiting behavior of weighted sums for negatively associated (NA) random variables. We extend results in Wu (1999) and a theorem in Chow and Lai (1973) for NA random variables.
متن کاملComplete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
The authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of rowwise END random variables. The results in this paper extend and improve the corresponding theorems by Hu and Taylor (1997).
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2023
ISSN: ['1846-579X', '1848-9575']
DOI: https://doi.org/10.7153/jmi-2023-17-49