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Complete Convergence and Complete Integral Convergence of Partial Sums for Moving Average Process Under Sub-Linear Expectations

open access: yesAIMS Mathematics, 2022
<abstract><p>In this paper, we establish the complete convergence and complete integral convergence of partial sums for moving average process based on independent random variables under the sub-linear expectations. The results in the paper extend some convergence properties of moving average process under independent assumption from ...
Qunying Wu
exaly   +3 more sources

Complete Moment and Integral Convergence for Sums of Negatively Associated Random Variables [PDF]

open access: yesActa Mathematica Sinica, English Series, 2010
Submitted to the Probability Surveys (http://www.i-journals.org/ps/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Andrew Rosalsky
exaly   +4 more sources
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Complete and Complete Integral Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables under Sublinear Expectations

Theory of Probability & Its Applications, 2023
В статье изучается полная и полная интегральная сходимость для массивов построчно обобщенных отрицательно зависимых случайных величин относительно сублинейных ожиданий. Результаты настоящей статьи распространяют результат о полной сходимости, полученный Ху, Ваном и Розальским в 2015 г., и результат о полной моментной сходимости, полученный Ву ...
Xi, M. M.   +3 more
openaire   +2 more sources

Complete and complete integral convergence for weighted sums of arrays of rowwise widely negative dependent random variables under the sub-linear expectations

Communications in Statistics - Theory and Methods, 2021
In this article, we study complete and complete integral convergence theorems for weighted sums of arrays of rowwise widely negative dependent random variables under the sub-linear expectations.
Dawei Lu, Yao Meng
openaire   +1 more source

Complete and complete integral convergence for arrays of row wise widely negative dependent random variables under the sub-linear expectations

Communications in Statistics - Theory and Methods, 2020
In this article, complete and complete integral convergence theorems are obtained for arrays of row wise widely negative dependent random variables under the sub-linear expectations.
Dawei Lu, Yao Meng
openaire   +1 more source

Equivalent conditions of complete moment and integral convergence for a class of dependent random variables

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Yi, Wang, Xuejun
openaire   +1 more source

Complete integral convergence for arrays of row-wise extended independent random variables under Sub-linear expectations

Communications in Statistics - Theory and Methods, 2019
In this paper, we establish the complete convergence and complete integral convergence for arrays of row-wise extended independent random variables under sub-linear expectation space with some cond...
Jie Li, Qunying Wu
openaire   +1 more source

Justifying the convergence of the rectangular method for complete singular integral equations with continuous coefficients on the circle

Mathematical Notes, 2005
A method of solution for a complete singular integral equation \((aI+bS+K)f=g\) on the unit circle \(\Gamma\) is obtained based on the discretization of integral operators by the rectangle rule, where \(a\) and \(b\) are Hölder functions satisfying the strong ellipticity condition, \(S\) is an integral operator with Hölder kernel and \(I\) is the unit ...
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Complete convergence and complete integral convergence for randomly weighted sums under the sublinear expectations

Communications in Statistics - Theory and Methods, 2023
Chengcheng Jia, Qunying Wu
openaire   +1 more source

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