Generalization of Almost Sure Convergence Properties of Pairwise NQD Random Sequences
نویسندگان
چکیده
منابع مشابه
A 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...
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and Applied Analysis 3 2. Preliminaries In this section, wewill present some important lemmaswhich will be used to prove the main results of the paper. The first three lemmas come from Sung [1]. Lemma 11 (cf.[1]). Let {a n , n ≥ 1} be a sequence of positive constants with a n /n ↑. Then the following properties hold. (i) {a n , n ≥ 1} is a strictly increasing sequence with an a n ↑ ∞. (ii) ∑∞ n...
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ژورنال
عنوان ژورنال: Journal of Mathematics Research
سال: 2011
ISSN: 1916-9809,1916-9795
DOI: 10.5539/jmr.v3n3p73