Some results on the convergence of weighted sums of random elements in separable Banach spaces
Xiang Wang, M. Bhaskara Rao (1987)
Studia Mathematica
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Xiang Wang, M. Bhaskara Rao (1987)
Studia Mathematica
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Volodin, A., Antonini, Giuliano R., Hu, T.-C. (2004)
Lobachevskii Journal of Mathematics
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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. ...
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.
Haiwu Huang, Hanjun Zhang, Qingxia Zhang, Jiangyan Peng (2015)
Kybernetika
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In this paper, the authors further studied the complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated (AANA) random variables with non-identical distribution under some mild moment conditions. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of AANA random variables is obtained. The results not only generalize the corresponding ones of Wang et al. [19], but also partially improve the corresponding...
Ordóñez Cabrera, M. (1997)
International Journal of Mathematics and Mathematical Sciences
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M. Ordóñez Cabrera (1989)
Extracta Mathematicae
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Taylor, Robert Lee (1983)
International Journal of Mathematics and Mathematical Sciences
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D. Szynal, A. Zapała (1977)
Colloquium Mathematicae
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Hu, Tien-Chung, Chang, Hen-Chao (1999)
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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Javier Carrillo-Alanís (2013)
Studia Mathematica
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We study the behaviour of the Rademacher functions in the weighted Cesàro spaces Ces(ω,p), for ω(x) a weight and 1 ≤ p ≤ ∞. In particular, the case when the Rademacher functions generate in Ces(ω,p) a closed linear subspace isomorphic to ℓ² is considered.
Zhiyong Chen, Haibin Wang, Xuejun Wang, Shuhe Hu (2016)
Kybernetika
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In this paper, the strong law of large numbers for weighted sums of negatively superadditive dependent (NSD, in short) random variables is obtained, which generalizes and improves the corresponding one of Bai and Cheng ([2]) for independent and identically distributed random variables to the case of NSD random variables.
Le Van Thanh (2006)
Journal of Applied Mathematics and Stochastic Analysis
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