Stability for randomly weighted sums of random elements
نویسندگان
چکیده
منابع مشابه
Strong 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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In this paper we study the asymptotic behavior for the tail probability of the randomly weighted sums and their maximum where the usual assumption of independence of random variable X and indepedence between the variable X and the weighted θ are relaxed. We suppose that, the variable X follows a conditional dependence intoduced by Geluk and Tang [6] and the pair (X, θ) follows a certain depende...
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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...
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.
متن کاملStrong Convergence of Weighted Sums for Negatively Orthant Dependent Random Variables
We discuss in this paper the strong convergence for weighted sums of negatively orthant dependent (NOD) random variables by generalized Gaussian techniques. As a corollary, a Cesaro law of large numbers of i.i.d. random variables is extended in NOD setting by generalized Gaussian techniques.
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1999
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171299225598