Complete Moment Convergence for Sung’s Type Weighted Sums ofB-Valued Random Elements
نویسندگان
چکیده
منابع مشابه
Complete Convergence for Weighted Sums of Arrays of Random Elements
Let {Xnk: k,n 1,2 be an array of row-wise independent random elements in a separable Banach space. Let {ank: k,n 1,2 be an array of Voo voo R+ real numbers such that /-k=l lank -< 1 and Ln=l exp(-a/A < for each c e where n V 2 Voo An kk=l ank. The complete convergence of l’k=l ank Xnk is obtained under varying moment and distribution conditions on the random elements. In particular, laws of lar...
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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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In this paper, we study the complete convergence and complete moment convergence for weighted sums of extended negatively dependent (END) random variables under sub-linear expectations space with the condition of [Formula: see text], further [Formula: see text], [Formula: see text] ([Formula: see text] is a slow varying and monotone nondecreasing function). As an application, the Baum-Katz type...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2016
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2016/1484160