A new proof for the generalized law of large numbers under Choquet expectation
In this article, we employ the elementary inequalities arising from the sub-linearity of Choquet expectation to give a new proof for the generalized law of large numbers under Choquet expectations induced by 2-alternating capacities with mild assumptions.
Jing Chen, Zengjing Chen
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Determinants of Reducing Greenhouse Gas Emissions in European Union Countries
In the literature on the subject, it is argued that tax policy is one of the tools stimulating the transition toward sustainable economies. Public authorities can use two functions for this purpose: fiscal and non-fiscal functions.
Beata Zofia Filipiak, Dorota Wyszkowska
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The Convergence of the Sums of Independent Random Variables Under the Sub-linear Expectations [PDF]
Let $\{X_n;n\ge 1\}$ be a sequence of independent random variables on a probability space $(Ω, \mathcal{F}, P)$ and $S_n=\sum_{k=1}^n X_k$. It is well-known that the almost sure convergence, the convergence in probability and the convergence in distribution of $S_n$ are equivalent.
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Almost sure convergence theorems for arrays under sub-linear expectations
<abstract><p>In this work, inspired by the extended negatively dependent arrays, we want to obtain a limit theorem on almost sure convergence relying on non-additive probabilities. Meanwhile, we offer two appropriate upper integration conditions as an application, allowing us to derive deterministic bounds based on logarithm.
Li Wang, Qunying Wu
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Formulating and testing a method for perturbing precipitation time series to reflect anticipated climatic changes [PDF]
Urban water infrastructure has very long planning horizons, and planning is thus very dependent on reliable estimates of the impacts of climate change. Many urban water systems are designed using time series with a high temporal resolution. To assess the
H. J. D. Sørup +3 more
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Health System Responsiveness in Obstetrics and Gynecology Departments of teaching hospitals in Mashhad, Iran [PDF]
Background & aim: Health system responsiveness (HSR) addresses patient`s non-medical and logical expectations. Various working conditions lead to different levels of responsiveness.
Zahra Hadizadeh tala saz +3 more
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In this paper, we study the complete convergence and complete moment convergence for weighted sums of extended negatively dependent (END) random variables under sub-linear expectations space with the condition of C V [ | X | p l ( | X | 1 / α ) ] < ∞ $C_{
Haoyuan Zhong, Qunying Wu
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Modeling the contributions of global air temperature, synoptic-scale phenomena and soil moisture to near-surface static energy variability using artificial neural networks [PDF]
The static energy content of the atmosphere is increasing on a global scale, but exhibits important subglobal and subregional scales of variability and is a useful parameter for integrating the net effect of changes in the partitioning of energy at the ...
S. C. Pryor +2 more
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Marcinkiewicz strong laws for weighted sums under the sub-linear expectations
In this article, we establish complete convergence theorems for weighted sums in sub-linear expectations space. As corollaries, we obtain Marcinkiewicz strong laws for weighted sums under the sublinear expectations. Our results extend and improve the corresponding results of Bai and Cheng (Statist. Probab. Lett.
Fengxiang Feng, Xiang Zeng
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The goal of this paper is to build complete convergence and complete integral convergence for END sequences of random variables under sub-linear expectation space.
Ziwei Liang, Qunying Wu
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