Uniform integrability and convergence in the pth-mean of randomly weighted sums
M. Ordóñez Cabrera (1989)
Extracta Mathematicae
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M. Ordóñez Cabrera (1989)
Extracta Mathematicae
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M. Ordóñez Cabrera (1994)
Collectanea Mathematica
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Taylor, Robert Lee (1983)
International Journal of Mathematics and Mathematical Sciences
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Hu, Tien-Chung, Chang, Hen-Chao (1999)
International Journal of Mathematics and Mathematical Sciences
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Padgett, W.J., Taylor, R.L. (1979)
International Journal of Mathematics and Mathematical Sciences
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D. Szynal, A. Zapała (1977)
Colloquium Mathematicae
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Haiwu Huang, Xuewen Lu (2020)
Applications of Mathematics
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In this work, the complete moment convergence and complete convergence for weighted sums of negatively superadditive dependent (NSD) random variables are studied, and some equivalent conditions of these strong convergences are established. These main results generalize and improve the corresponding theorems of Baum and Katz (1965) and Chow (1988) to weighted sums of NSD random variables without the assumption of identical distribution. As an application, a Marcinkiewicz-Zygmund-type...
Taylor, R.L., Calhoun, C.A. (1981)
International Journal of Mathematics and Mathematical Sciences
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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, Hu, Tien-Chung (1987)
International Journal of Mathematics and Mathematical Sciences
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Haiwu Huang, Linyan Li, Xuewen Lu (2020)
Kybernetika
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In this research, strong convergence properties of the tail probability for weighted sums of negatively orthant dependent random variables are discussed. Some sharp theorems for weighted sums of arrays of rowwise negatively orthant dependent random variables are established. These results not only extend the corresponding ones of Cai [4], Wang et al. [19] and Shen [13], but also improve them, respectively.
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...