Some limit theorems for arrays of rowwise pairwise NQD random variables
نویسندگان
چکیده
منابع مشابه
Some strong limit theorems for arrays of rowwise negatively orthant-dependent random variables
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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This paper establishes two results for complete convergence in the law of large numbers for arrays under %-mixing and ~ %-mixing association in rows. They extend several known results. AMS classi cation: 60F15
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1. Limiting distributions of sums of 'small' independent random variables have been extensively studied and there is a satisfactory general theory of the subject (see e.g. the monograph of B.V. Gnedenko and A.N. Kolmogorov [2]). These results are conveniently formulated for double arrays Xn k (k = 1, . . . , kn ; n = 1, 2, . . . ) of random variables where the Xn k (k = 1, . . . , kn), the rand...
متن کاملA note on the complete convergence for sequences of pairwise NQD random variables
* Correspondence: [email protected] School of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 610054, PR China Full list of author information is available at the end of the article Abstract In this paper, complete convergence and strong law of large numbers for sequences of pairwise negatively quadrant dependent (NQD) random variables with nonidenti...
متن کاملComplete Convergences and Strong Laws of Large Numbers for Weighted Sums Pairwise Nqd Random Variables Sequence
Let {Xn, n ≥ 1} be a sequence of pairwise NQD random variables. Some complete convergences and strong laws of large numbers for a weighted sums sequence of pairwise NQD random variables are obtained. The results obtainted generalize the results of Cabrera and Volodin (see [3]).
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ژورنال
عنوان ژورنال: Теория вероятностей и ее применения
سال: 2014
ISSN: 0040-361X,2305-3151
DOI: 10.4213/tvp4573