COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF SEQUENCES OF AANA RANDOM VARIABLES
نویسندگان
چکیده
منابع مشابه
Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables
Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on and sequence .
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Copyright q 2010 Wang Xuejun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Some results on complete convergence for weighted sums ∑n i 1 aniXi are presented, where {Xn, n ≥ 1} is a sequence of φ-mixing random variables an...
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متن کاملcomplete convergence and some maximal inequalities for weighted sums of random variables
let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. we will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on and sequence .
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2008
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089508004254