The rates in complete moment convergence for negatively associated sequences
نویسندگان
چکیده
منابع مشابه
Almost Sure Convergence Rates for the Estimation of a Covariance Operator for Negatively Associated Samples
Let {Xn, n >= 1} be a strictly stationary sequence of negatively associated random variables, with common continuous and bounded distribution function F. In this paper, we consider the estimation of the two-dimensional distribution function of (X1,Xk+1) based on histogram type estimators as well as the estimation of the covariance function of the limit empirical process induced by the se...
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for all x, y ∈ R. Moreover, it follows that 1.2 implies 1.1 , and hence, 1.1 and 1.2 are equivalent. Ebrahimi and Ghosh 1 showed that 1.1 and 1.2 are not equivalent for a collection of 3 or more random variables. They considered random variables X1, X2, and X3 where X1, X2, X3 assumed the values 0, 1, 1 , 1, 0, 1 , 1, 1, 0 , and 0, 0, 0 each with probability 1/4. The random variables X1, X2, an...
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The authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of rowwise END random variables. The results in this paper extend and improve the corresponding theorems by Hu and Taylor (1997).
متن کاملComplete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation
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: Computational & Applied Mathematics
سال: 2010
ISSN: 1807-0302
DOI: 10.1590/s1807-03022010000100003