A note on the strong limit theorem for weighted sums of sequences of negatively dependent random variables
نویسندگان
چکیده
منابع مشابه
A Strong Limit Theorem for Weighted Sums of Sequences of Negatively Dependent Random Variables
Qunying Wu College of Science, Guilin University of Technology, Guilin 541004, China Correspondence should be addressed to Qunying Wu, [email protected] Received 11 March 2010; Revised 21 June 2010; Accepted 3 August 2010 Academic Editor: Soo Hak Sung Copyright q 2010 Qunying Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestric...
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In this paper, we generalize a theorem of Shao [12] by assuming that is a sequence of linear negatively dependent random variables. Also, we extend some theorems of Chao [6] and Thrum [14]. It is shown by an elementary method that for linear negatively dependent identically random variables with finite -th absolute moment the weighted sums converge to zero as where and is an array of...
متن کاملstrong laws for weighted sums of negative dependent random variables
in this paper, we discuss strong laws for weighted sums of pairwise negatively dependent random variables. the results on i.i.d case of soo hak sung [9] are generalized and extended.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2012
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2012-233