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Complete convergence and complete moment convergence for widely orthant-dependent random variables
Communications in Statistics - Theory and Methods, 2016In this paper, we first establish the complete convergence for weighted sums of widely orthant-dependent (WOD, in short) random variables by using the Rosenthal type maximal inequality.
Yang Ding +4 more
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Communications in Statistics - Theory and Methods, 2016
In this paper, we establish a complete convergence result and a complete moment convergence result for i.i.d. random variables under moment condition which is slightly weaker than the existence of the moment generating function. The main results extend and improve the related known results of Lanzinger (1998) and Gut and Stadtmuller (2011).
Qiu Dehua, Chen Pingyan
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In this paper, we establish a complete convergence result and a complete moment convergence result for i.i.d. random variables under moment condition which is slightly weaker than the existence of the moment generating function. The main results extend and improve the related known results of Lanzinger (1998) and Gut and Stadtmuller (2011).
Qiu Dehua, Chen Pingyan
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Complete moment convergence for L p -mixingales
Acta Mathematica Scientia, 2017Abstract In this paper, the complete moment convergence for Lp-mixingales are studied. Sufficient conditions are given for the complete moment convergence for the maximal partial sums of B-valued Lp-mixingales by utilizing the Rosenthal maximal type inequality for B-valued martingale difference sequence, which extend and improve the related known ...
Dehua QIU, Pingyan CHEN, Volodin ANDREI
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Complete moment convergence for i.i.d. random variables
Statistics & Probability Letters, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dehua Qiu, Pingyan Chen
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Chinese Annals of Mathematics, Series B, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Aiting, Yao, Mei, Xiao, Benqiong
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Aiting, Yao, Mei, Xiao, Benqiong
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Complete moment convergence and complete convergence for weighted sums of NSD random variables
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deng, Xin +3 more
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Bulletin of the Malaysian Mathematical Sciences Society, 2023
Given a measurable space \((\Omega, \mathcal{F})\), consider a collection \(\mathcal{P}\) of probability measures on \((\Omega, \mathcal{F})\). Now, define the following upper and lower probabilities \[ \mathbb{P}(A) = \sup_{P \in \mathcal{P}} P(A), \text{ and } \mathsf{P}(A) = \inf_{P \in \mathcal{P}} P(A), \tag{1} \] for all \(A\in \mathcal{F ...
Mengmei Xi, Fei Zhang, Xuejun Wang
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Given a measurable space \((\Omega, \mathcal{F})\), consider a collection \(\mathcal{P}\) of probability measures on \((\Omega, \mathcal{F})\). Now, define the following upper and lower probabilities \[ \mathbb{P}(A) = \sup_{P \in \mathcal{P}} P(A), \text{ and } \mathsf{P}(A) = \inf_{P \in \mathcal{P}} P(A), \tag{1} \] for all \(A\in \mathcal{F ...
Mengmei Xi, Fei Zhang, Xuejun Wang
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Complete q-th moment convergence and its statistical applications
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Aiting, Wu, Caoqing
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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
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In this paper, we discuss complete convergence and complete moment convergence results for extended negatively dependent random variables.
Bing Meng, Dingcheng Wang, Qunying Wu
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Complete moment convergence of pairwise NQD random variables
Stochastics, 2014It is known that the dependence structure of pairwise negative quadrant dependent (NQD) random variables is weaker than those of negatively associated random variables and negatively orthant dependent random variables. In this article, we investigate the moving average process which is based on the pairwise NQD random variables.
Wenzhi Yang, Shuhe Hu
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