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Complete convergence and complete moment convergence for martingale difference sequence

Acta Mathematica Sinica, English Series, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Xue Jun, Hu, Shu He
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Complete convergence and complete moment convergence for widely orthant-dependent random variables

Communications in Statistics - Theory and Methods, 2016
In 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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Complete and complete moment convergence for i.i.d. random variables under exponential moment conditions

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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Complete moment convergence for L p -mixingales

Acta Mathematica Scientia, 2017
Abstract 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, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dehua Qiu, Pingyan Chen
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Equivalent conditions of complete convergence and complete moment convergence for END random variables

Chinese Annals of Mathematics, Series B, 2018
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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, 2015
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Deng, Xin   +3 more
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Complete Moment Convergence and $$L_q$$ Convergence for AANA Random Variables Under Sub-linear Expectations

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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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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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
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