Uniform integrability and convergence in the pth-mean of randomly weighted sums
M. Ordóñez Cabrera (1989)
Extracta Mathematicae
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Displaying similar documents to “Stability for randomly weighted sums of random elements.”
Uniform integrability and convergence in the pth-mean of randomly weighted sums
Convergence of weighted sums of independent random variables and an extension to Banach space-valued random variables.
Padgett, W.J., Taylor, R.L. (1979)
International Journal of Mathematics and Mathematical Sciences
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Convergence rates for weighted sums of random variables with random indices
D. Szynal, A. Zapała (1977)
Colloquium Mathematicae
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Strong Convergence for weighed sums of negatively superadditive dependent random variables
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.
On strong laws of large numbers for arrays of rowwise independent random elements.
Bozorgnia, Abolghassem, Patterson, Ronald Frank, Taylor, Robert Lee (1993)
International Journal of Mathematics and Mathematical Sciences
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Complete convergence for weighted sums of arrays of random elements.
Taylor, Robert Lee (1983)
International Journal of Mathematics and Mathematical Sciences
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Strong laws of large numbers for arrays of row-wise independent random elements.
Taylor, Robert Lee, Hu, Tien-Chung (1987)
International Journal of Mathematics and Mathematical Sciences
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On the rate of convergence of bootstrapped means in a Banach space.
Ejaz Ahmed, S., Hu, T.-C., Volodin, Andrei I. (2001)
International Journal of Mathematics and Mathematical Sciences
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Convergence in mean of weighted sums of -compactly uniformly integrable random elements in Banach spaces.
Ordóñez Cabrera, M. (1997)
International Journal of Mathematics and Mathematical Sciences
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Strong laws of large numbers for arrays of rowwise conditionally independent random elements.
Patterson, Ronald Frank, Bozorgnia, Abolghassem, Taylor, Robert Lee (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Complete convergence of weighted sums for arrays of rowwise -mixing random variables
Xinghui Wang, Xiaoqin Li, Shuhe Hu (2014)
Applications of Mathematics
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In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise -mixing random variables, and the Baum-Katz-type result for arrays of rowwise -mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of -mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012).