On complete moment convergence for weighted sums of AANA random variables

Haiwu Huang; Hanjun Zhang; Qingxia Zhang

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Displaying similar documents to “On complete moment convergence for weighted sums of AANA random variables”

On complete moment convergence for weighted sums of negatively superadditive dependent random variables

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...

Complete convergence for weighted sums of pairwise independent random variables

Li Ge, Sanyang Liu, Yu Miao (2017)

Open Mathematics

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In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is deduced.

Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables

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...

Convergence rates for weighted sums of random variables with random indices

D. Szynal, A. Zapała (1977)

Colloquium Mathematicae

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Convergence of the tail probability for weighted sums of negatively orthant dependent random variables

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.

Uniform integrability and convergence in the pth-mean of randomly weighted sums

M. Ordóñez Cabrera (1989)

Extracta 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.

Complete convergence of weighted sums in Banach spaces and the bootstrap mean.

Hu, T.-C., Ordóñez Cabrera, M., Sung, S.H., Volodin, A.I. (2002)

Lobachevskii Journal of Mathematics

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On complete convergence for randomly indexed sums for a case without identical distributions.

Kuczmaszewska, Anna, Szynal, Dominik (1997)

International Journal of Mathematics and Mathematical Sciences

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