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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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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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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Taylor, Robert Lee (1983)
International Journal of Mathematics and Mathematical Sciences
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Taylor, Robert Lee, Hu, Tien-Chung (1987)
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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Ordóñez Cabrera, M. (1997)
International Journal of Mathematics and Mathematical Sciences
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Patterson, Ronald Frank, Bozorgnia, Abolghassem, Taylor, Robert Lee (1993)
Journal of Applied Mathematics and Stochastic Analysis
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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.