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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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, 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...
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.
Bozorgnia, Abolghassem, Patterson, Ronald Frank, Taylor, Robert Lee (1993)
International Journal of Mathematics and Mathematical Sciences
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