pairwise negatively dependent random variables

in this paper, we extend and generalize some recent results on the strong laws of large numbers (slln) for pairwise independent random variables [3]. no assumption is made concerning the existence of independence among the random variables (henceforth r.v.’s). also chandra’s result on cesàro uniformly integrable r.v.’s is extended.

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Some strong limit theorems for arrays of rowwise negatively orthant-dependent random variables

2011

Aiting Shen

Correspondence: [email protected] School of Mathematical Science, Anhui University, Hefei 230039, China Abstract In this article, the strong limit theorems for arrays of rowwise negatively orthantdependent random variables are studied. Some sufficient conditions for strong law of large numbers for an array of rowwise negatively orthant-dependent random variables without assumptions of identical di...

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On the Strong Law of Large Numbers for Weighted Sums of Arrays of Rowwise Negatively Dependent Random Variables

2009

Jong-Il Baek Hye-Young Seo Gil-Hwan Lee Jeong-Yeol Choi JEONG-YEOL CHOI

Let {Xni | 1 ≤ i ≤ n, n ≥ 1} be an array of rowwise negatively dependent (ND) random variables. We in this paper discuss the conditions of ∑n i=1 aniXni → 0 completely as n → ∞ under not necessarily identically distributed setting and the strong law of large numbers for weighted sums of arrays of rowwise negatively dependent random variables is also considered.

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A note on the complete convergence for weighted sums of negatively dependent random variables

Journal: :Journal of Inequalities and Applications 2012

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Strong Laws of Large Numbers for Arrays of Rowwise Conditionally Negatively Dependent Random Variables

Journal: :Advances in Pure Mathematics 2013

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