Three Series Theorem for Independent Random Variables under Sub-linear Expectations with Applications [PDF]
Acta Mathematica Sinica, English Series, 2018 In this paper, motived by the notion of independent and identically distributed random variables under the sub-linear expectation initiated by Peng, we give a theorem about the convergence of a random series and establish a three series theorem of independent random variables under the sub-linear expectations.
Xu, Jia Pan, Zhang, Li Xin
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Complete moment convergence for ND random variables under the sub-linear expectations
Applied Mathematics, 2023 AbstractIn this article, we establish a general result on complete moment convergence for arrays of rowwise negatively dependent(ND) random variables under the sub-linear expectations. As applications, we can obtain a series of results on complete moment convergence for ND random variables under the sub-linear expectations.
Feng, Feng-xiang +2 more
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Rosenthal’s inequalities for independent and negatively dependent random variables under sub-linear expectations with applications [PDF]
Science China Mathematics, 2015 20 ...
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Journal of Inequalities and Applications, 2023 In this paper, we study the complete convergence and complete moment convergence of linear processes generated by negatively dependent random variables under sub-linear expectations. The obtained results complement the ones of Meng, Wang, and Wu (Commun.
Mingzhou Xu, Kun Cheng, Wangke Yu
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Colorless Polyimides Derived from Octahydro-2,3,6,7-anthracenetetracarboxylic Dianhydride
Macromol, 2023 A cycloaliphatic tetracarboxylic dianhydride, octahydro-2,3,6,7-anthracenetetracarboxylic dianhydride (OHADA) was synthesized to obtain novel colorless polyimides (PIs).
Masatoshi Hasegawa +4 more
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A complete convergence theorem for weighted sums under the sub-linear expectations [PDF]
Journal of Mathematical Inequalities, 2021 A sub-lineair expectation \(\hat{E}\) on the space \(H\) is a real function with the following properties: (a) monotone; (b) \(\hat{E}(c)=c\); (c) sub-additive; (d) homogeneous (\(\hat{E}(\lambda X)=\lambda \hat{E}X\), \( \lambda >0\)). The authors define independence of variables and consider a sequence \(X_{1},X_{2},...\) of i.i.d.
Feng, Fengxiang, Huang, Haiwu
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Terahertz metasurface zone plates with arbitrary polarizations to a fixed polarization conversion
Opto-Electronic Science, 2022 Metasurfaces that can realize the polarization manipulation of electromagnetic waves on the sub-wavelength scale have become an emerging research field. Here, a novel strategy of combining the metasurface and Fresnel zone plate to form a metasurface zone
Zhen Yue +10 more
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On the laws of the iterated logarithm under sub-linear expectations
Probability, Uncertainty and Quantitative Risk, 2021 <p style='text-indent:20px;'>In this paper, we establish some general forms of the law of the iterated logarithm for independent random variables in a sub-linear expectation space, where the random variables are not necessarily identically distributed.
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Asset Profitability in the Electricity Sector: An Iterative Approach in a Linear Optimization Model
Energies, 2022 In a competitive electricity market, generation capacities can exactly cover their full costs. However, the real market deviates from this ideal in some aspects. One is the concern of non-existent or insufficient scarcity prices.
Annika Gillich, Kai Hufendiek
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Central and peripheral retina arise through distinct developmental paths. [PDF]
PLoS ONE, 2013 In the mature eye, three distinct tissue fates, retina, ciliary body, and iris, arrange with a strict linear organization along the central (back) to peripheral (front) axis.
Sara J Venters +2 more
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