Results 251 to 260 of about 7,135,246 (310)

Complete Convergence of Martingale Arrays

Journal of Theoretical Probability, 1998
A sequence \(\{U_n, n\geq 1\}\) of random variables is said to converge completely to the constant \(c\) if \(\sum^\infty_{n= 1} P(| U_n- c|> \varepsilon)< \infty\) for all \(\varepsilon> 0\). The definition was introduced by \textit{P. L. Hsu} and \textit{H. Robbins} [Proc. Natl. Acad. Sci.
Ghosal, Subhashis, Chandra, Tapas K.
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Complete convergence and strong law of large numbers for arrays of random variables under sublinear expectations

Communications in Statistics - Theory and Methods, 2019
In this article, complete convergence theorems are obtained for arrays of widely negative dependent random variables under sublinear expectations. We improve the corresponding results in probability space, and provide a new method to prove them.
Yiwei Lin, Xinwei Feng
semanticscholar   +1 more source

Complete convergence for arrays of rowwise END random variables and its statistical applications under sub-linear expectations

Journal of the Korean Statistical Society, 2019
In this paper, we study the complete convergence for arrays of rowwise extended negatively dependent (END, for short) random variables under sub-linear expectations.
Mengmei Xi, Yi Wu, Xuejun Wang
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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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A general result on complete convergence for weighted sums of linear processes and its statistical applications

Statistics (Berlin), 2019
Consider the linear process , where is a sequence of identically distributed, negatively associated random variables with , and is a sequence of real numbers with .
X. Deng, Xuejun Wang, Shuhe Hu, M. Hu
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Complete convergence and complete moment convergence for maximal randomly weighted sums of widely orthant-dependent random variables with applications

Communications in Statistics - Theory and Methods, 2019
In this paper, the complete convergence and the complete moment convergence for maximal randomly weighted sums of widely orthant-dependent (WOD, in short) random variables are investigated.
Dawei Lu, Jialu Wang
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Completion of Semiuniform Convergence Spaces

Applied Categorical Structures, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Complete convergence for arrays of row-wise ND random variables under sub-linear expectations

Communications in Statistics - Theory and Methods, 2019
In this paper, complete convergence for arrays of row-wise ND random variables under sub-linear expectations is studied. As applications, the complete convergence theorems of weighted sums for negatively dependent random variables have been generalized ...
Wenjuan Wang, Qunying Wu
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Complete convergence for weighted sums of WNOD random variables and its applications

Stochastics, 2019
In this paper, we mainly studied the complete convergence for weighted sums of widely negative orthant dependent (WNOD, in short) random variables. Some sufficient conditions to prove the complete convergence are provided. As an application, the complete
Mingming Ning, Caoqing Wu, A. Shen
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Convergence And Completeness

2008
Abstract We have already noted some seventeenth- and eighteenth-century discussions of convergence (or the lack of them) in 8.3, and in this Chapter we take up the nineteenth-century continuation of the same story. One of the most powerful tools available to early nineteenth-century mathematicians investigating convergence turned out to ...
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