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Complete convergence and complete moment convergence for arrays of rowwise ANA random variables [PDF]

open access: yesJournal of Inequalities and Applications, 2016
In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables.
Haiwu Huang   +3 more
doaj   +2 more sources

Complete convergence and complete moment convergence for negatively associated sequences of random variables [PDF]

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we study the complete convergence and complete moment convergence for negatively associated sequences of random variables with E X = 0 $\mathbb{E}X=0$ , E exp ( ln α | X | ) < ∞ $\mathbb{E}\exp(\ln^{\alpha}|X| ) 1 $\alpha>1$ . As a result,
Qunying Wu, Yuanying Jiang
doaj   +3 more sources

Complete moment convergence of extended negatively dependent random variables [PDF]

open access: yesJournal of Inequalities and Applications, 2020
In this paper, some results on the complete moment convergence of extended negatively dependent (END) random variables are established. The results in the paper improve and extend the corresponding ones of Qiu et al. (Acta Math. Appl. Sin. 40(3):436–448,
Mingzhu Song, Quanxin Zhu
doaj   +3 more sources

Complete Moment Convergence for Negatively Dependent Sequences of Random Variables [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2016
We study the complete moment convergence for sequences of negatively dependent identically distributed random variables with EX=0,  Eexp⁡|X ...
Qunying Wu, Yuanying Jiang
doaj   +3 more sources

Complete convergence and complete moment convergence for weighted sums of -NA random variables [PDF]

open access: yesJournal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Yongfeng   +2 more
core   +4 more sources

Toeplitz lemma, complete convergence, and complete moment convergence [PDF]

open access: yesCommunications in Statistics - Theory and Methods, 2016
In this paper, we study the Toeplitz lemma, the Ces ro mean convergence theorem and the Kronecker lemma. At first, we study "complete convergence" versions of the Toeplitz lemma, the Ces ro mean convergence theorem and the Kronecker lemma. Two counterexamples show that they can fail in general and some sufficient conditions for "complete convergence"
Li, Jiyanglin, Hu, Ze-Chun
openaire   +2 more sources

Complete convergence and complete moment convergence for a class of random variables [PDF]

open access: yesJournal of Inequalities and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Xinghui, Hu, Shuhe
openaire   +1 more source

Aggregation of predictors for nonstationary sub-linear processes and online adaptive forecasting of time varying autoregressive processes [PDF]

open access: yes, 2015
In this work, we study the problem of aggregating a finite number of predictors for nonstationary sub-linear processes. We provide oracle inequalities relying essentially on three ingredients: (1) a uniform bound of the $\ell^1$ norm of the time varying ...
Giraud, Christophe   +2 more
core   +3 more sources

Equivalent Conditions of Complete pth Moment Convergence for Weighted Sums of I. I. D. Random Variables under Sublinear Expectations

open access: yesDiscrete Dynamics in Nature and Society, 2021
We investigate the complete pth moment convergence for weighted sums of independent, identically distributed random variables under sublinear expectations space.
Mingzhou Xu, Kun Cheng
doaj   +1 more source

Complete convergence and complete moment convergence for extended negatively dependent random variables

open access: yesFilomat, 2017
In this paper, we provide some probability and moment inequalities (especially the Marcinkiewicz-Zygmund type inequality) for extended negatively dependent (END, in short) random variables. By using the Marcinkiewicz-Zygmund type inequality and the truncation method, we investigate the complete convergence for sums and weighted sums of ...
Shen, Aiting, Zhang, Yu, Wang, Wenjuan
openaire   +2 more sources

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