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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
openaire   +1 more source

Complete convergence and complete moment convergence for weighted sums of m-extended negatively dependent random variables and an application

Stochastic Models
. In this article, we study some convergence properties for weighted sums of m-extended negatively dependent random variables under some general conditions. The results obtained in the article extend and improve some previously known ones.
Liwang Ding, Fengli Huang
semanticscholar   +1 more source

Complete and Complete Moment Convergence of the Weighted Sums of $ρ^∗$-Mixing Random Vectors in Hilbert Spaces

East Asian Journal on Applied Mathematics, 2022
. Let 1 ≤ p < 2, α > p , { a ni ,1 ≤ i ≤ n , n ≥ 1 } be a set of real numbers with the property sup n ≥ 1 n − 1 P n i = 1 | a ni | α < ∞ and let { X , X n , n ≥ 1 } be a sequence of H -valued ρ ∗ -mixing random vectors coordinatewise stochastically upper
Mi-Hwa Ko
semanticscholar   +1 more source

Complete convergence and complete moment convergence for randomly weighted sums of widely negative dependent random variables under sublinear expectations

Теория вероятностей и ее применения
Хорошо известно, что изучение свойств сходимости взвешенных сумм случайных величин является важным разделом в теории вероятностных предельных теорем. В этой статье мы изучаем условия полной сходимости и полной моментной сходимости случайно взвешенных ...
Miaomiao Wang, Xue-Jun Wang
semanticscholar   +1 more source

The complete moment convergence for coordinatewise pairwise negatively quadrant dependent random vectors in Hilbert space

Communications in Statistics - Theory and Methods, 2022
In this article, we investigate the complete moment convergence for a sequence of coordinatewise pairwise negatively quadrant dependent random vectors in Hilbert space, which is coordinatewise weakly upper bounded by a random vector under special case.
Mi-Hwa Ko
semanticscholar   +1 more source

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
openaire   +1 more source

Complete moment convergence for widely orthant dependent random variables

Stochastics
The author studies the complete moment convergence for widely orthant dependent random variables. The obtained result in this paper improves the corresponding one of Chen and Sung [A Spitzer-type law of large numbers for widely orthant dependent random ...
Yongfeng Wu
semanticscholar   +1 more source

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 convergence and complete moment convergence for weighted sums of random variables satisfying generalized Rosenthal type inequalities and an application

Stochastics
This article mainly investigates the complete convergence and complete moment convergence for weighted sums of random variables satisfying generalized Rosenthal type inequalities, which improves the corresponding ones of the literature. As an application,
Xiaoqian Zheng   +2 more
semanticscholar   +1 more source

Baum-Katz-type complete and complete moment convergence theorems for the maximal weighted sums under the sub-linear expectations

Communications in Statistics - Theory and Methods
. In this article, we establish Baum-Katz-type complete and complete moment convergence theorems for the maximal weighted sums of independent and identically distributed random variables in a sub-linear expectation space (Ω,H,Ê).
Feng Feng, Hai-Wu Huang
semanticscholar   +1 more source

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