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Complete Moment Convergence for the Dependent Linear Processes with Random Coefficients

Acta Mathematica Sinica, English Series, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hosseini, Seyed Mohammad   +1 more
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Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables

Communications in Statistics - Theory and Methods, 2020
In this paper, we discuss complete convergence and complete moment convergence results for extended negatively dependent random variables.
Bing Meng, Dingcheng Wang, Qunying Wu
openaire   +1 more source

Complete moment convergence of weighted sums for asymptotically negatively associated random variables

Communications in Statistics - Theory and Methods
. In this study, the authors consider the complete moment convergence for weighted sums of asymptotically negatively associated (ANA) random variables without making any assumptions of the distributions.
Hai-Wu Huang   +3 more
semanticscholar   +1 more source

Complete q-th moment convergence and its statistical applications

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Aiting, Wu, Caoqing
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The complete moment convergence for independent and non identically distributed random fields with different powers for different coordinates

Communications in Statistics - Theory and Methods
. In this article, we establish the complete moment convergence for independent and non identically distributed random fields such that different indices have different powers in the normalization.
Mi-Hwa Ko
semanticscholar   +1 more source

Complete convergence and complete moment convergence for arrays of rowwise negatively superadditive dependent random variables

Communications in Statistics - Theory and Methods, 2017
ABSTRACTIn this paper, some complete convergence and complete moment convergence results for arrays of rowwise negatively superadditive dependent (NSD, in short) random variables are studied. The obtained theorems not only extend the result of Gan and Chen (2007) to the case of NSD random variables, but also improve them.
Bing Meng, Dingcheng Wang, Qunying Wu
openaire   +1 more source

A general law of precise asymptotics for the complete moment convergence

Chinese Annals of Mathematics, Series B, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Yong   +2 more
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Precise asymptotics of complete moment convergence on moving average

Acta Mathematica Sinica, English Series, 2012
Let \(\{a_{i},\;i\in\mathbb{Z}\}\) be a sequence of real numbers such that \(\sum_{i\in \mathbb{Z}}|a_{i}|
Lin, Zheng Yan, Zhou, Hui
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On Complete Convergence of Moments in Exact Asymptotics under Normal Approximation

Theory of Probability & Its Applications
For the sums of the form $\overline I_s(\varepsilon) = \sum_{n\geqslant 1} n^{s-r/2}\mathbf{E}|S_n|^r\,\mathbf I[|S_n|\geqslant \varepsilon\,n^\gamma]$, where $S_n = X_1 +\dots + X_n$, $X_n$, $n\geqslant 1$, is a sequence of independent and identically distributed random variables (r.v.'s) $s+1 \geqslant 0$, $r\geqslant 0$, $\gamma>1/2$, and ...
openaire   +1 more source

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