Complete convergence of weighted sums in Banach spaces and the bootstrap mean.
Hu, T.-C., Ordóñez Cabrera, M., Sung, S.H., Volodin, A.I. (2002)
Lobachevskii Journal of Mathematics
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Hu, T.-C., Ordóñez Cabrera, M., Sung, S.H., Volodin, A.I. (2002)
Lobachevskii Journal of Mathematics
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Xiang Wang, M. Bhaskara Rao (1987)
Studia Mathematica
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Le Van Thanh (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Tómács, Tibor (2005)
Annales Mathematicae et Informaticae
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Haiwu Huang, Hanjun Zhang, Qingxia Zhang (2016)
Kybernetika
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In this work, a complete moment convergence theorem is obtained for weighted sums of asymptotically almost negatively associated (AANA) random variables without assumption of identical distribution under some mild moment conditions. As an application, the complete convergence theorems for weighted sums of negatively associated (NA) and AANA random variables are obtained. The result not only generalizes the corresponding ones of Sung [13] and Huang et al. [8], but also improves them. ...
Taylor, Robert Lee (1983)
International Journal of Mathematics and Mathematical Sciences
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Adler, André, Volodin, Andrey (1995)
International Journal of Mathematics and Mathematical Sciences
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Li Ge, Sanyang Liu, Yu Miao (2017)
Open Mathematics
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In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is deduced.
Ordóñez Cabrera, M. (1997)
International Journal of Mathematics and Mathematical Sciences
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Chen, Pingyan, Hu, Tien-Chung, Volodin, Andrei (2006)
Lobachevskii Journal of Mathematics
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Argyros, Ioannis K. (1997)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Hu, Tien-Chung, Chang, Hen-Chao (1999)
International Journal of Mathematics and Mathematical Sciences
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Ejaz Ahmed, S., Hu, T.-C., Volodin, Andrei I. (2001)
International Journal of Mathematics and Mathematical Sciences
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