Complete Convergence for Weighted Sums ofρ∗-Mixing Random Variables
نویسندگان
چکیده
منابع مشابه
On Complete Convergence for Weighted Sums of -Mixing Random Variables
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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In many stochastic models, the assumption that random variables are independent is not plausible. So it is of interest to extend the concept of independence to dependence cases. One of these dependence structures is ρ∗-mixing. Let {Xn, n ≥ 1} be a sequence of random variables defined on a probability space Ω,F, P , and let Fm n denote the σ-algebra generated by the random variables Xn,Xn 1, . ....
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Let {Xni , i≥ 1,n≥ 1} be an array of rowwise ρ̃-mixing random variables. Some sufficient conditions for complete convergence for weighted sums of arrays of rowwise ρ̃-mixing random variables are presented without assumptions of identical distribution. As applications, the Baum and Katz type result and the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of ρ̃-mixing random vari...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2010
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2010/630608