Convergence rates for weighted sums of random variables with random indices
D. Szynal, A. Zapała (1977)
Colloquium Mathematicae
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D. Szynal, A. Zapała (1977)
Colloquium Mathematicae
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Zdzisław Rychlik (1976)
Colloquium Mathematicae
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Z. Rychlik, D. Szynal (1973)
Colloquium Mathematicae
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M. Ordóñez Cabrera (1989)
Extracta Mathematicae
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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...
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).
Slobodanka Janković (1990)
Publications de l'Institut Mathématique
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Jan Rosiński (1975)
Colloquium Mathematicae
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E. Omey (1990)
Publications de l'Institut Mathématique
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Slobodanka Janković (1987)
Publications de l'Institut Mathématique
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Frolov, A.N. (2004)
Zapiski Nauchnykh Seminarov POMI
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