Results 261 to 270 of about 49,053 (278)

On the asymptotic approximation of inverse moment under sub-linear expectations

Journal of Mathematical Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Yi, Wang, Xuejun, Zhang, Lixin
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Strong Convergence Theorems Under Sub-linear Expectations and Its Applications in Nonparametric Regression Models

Communications in Mathematics and Statistics, 2023
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Wu, Yi, Deng, Xin, Xi, Mengmei, Wang, Xuejun   +3 more
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Strong Limit Theorems for Weighted Sums under the Sub-linear Expectations

Acta Mathematicae Applicatae Sinica, English Series
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Feng, Feng-xiang, Wang, Ding-cheng, Wu, Qun-ying, Huang, Haiwu   +3 more
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Complete Moment Convergence and $$L_q$$ Convergence for AANA Random Variables Under Sub-linear Expectations

Bulletin of the Malaysian Mathematical Sciences Society, 2023
Given a measurable space \((\Omega, \mathcal{F})\), consider a collection \(\mathcal{P}\) of probability measures on \((\Omega, \mathcal{F})\). Now, define the following upper and lower probabilities \[ \mathbb{P}(A) = \sup_{P \in \mathcal{P}} P(A), \text{ and } \mathsf{P}(A) = \inf_{P \in \mathcal{P}} P(A), \tag{1} \] for all \(A\in \mathcal{F ...
Mengmei Xi, Fei Zhang, Xuejun Wang
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An elementary proof of Peng’s central limit theorem under sub-linear expectations

International Journal of Financial Engineering, 2020
Motivated by studies in mathematical finance, S. Peng established a central limit theorem (CLT) under sub-linear expectations by using partial differential equations (PDEs). In this paper, we provide a novel proof of Peng’s CLT in the frame of sub-linear expectation.
Zengjing Chen, Ziwu Zhang
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Weak and strong laws of large numbers for sub-linear expectation

Communications in Statistics - Theory and Methods, 2019
AbstractIn this paper, we derive a new form of weak laws of large numbers for sub-linear expectation and establish the equivalence relation among this new form and the other two forms of weak laws ...
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The laws of large numbers for Pareto-type random variables under sub-linear expectation

Frontiers of Mathematics, 2022
Very exciting basic definitions of probability calculation theory are expanded: the relevant conclusions in the traditional probability space are extended to the sub-linear expectation space. From a new aspect, one of the most beautiful theorems of probability calculation, the weak law of large numbers and strong law of large numbers of the weighted ...
Chen, Binxia, Wu, Qunying
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Complete convergence theorem for negatively dependent random variables under sub-linear expectations

Communications in Statistics - Theory and Methods, 2020
Under the condition that the Choquet integral exists, we study the complete convergence theorem for negatively dependent random variables under sub-linear expectation space.
Binxia Chen, Qunying Wu
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Cross-Language High Similarity Search: Why No Sub-linear Time Bound Can Be Expected

2010
This paper contributes to an important variant of cross-language information retrieval, called cross-language high similarity search. Given a collection D of documents and a query q in a language different from the language of D, the task is to retrieve highly similar documents with respect to q.
Maik Anderka, Benno Stein 0001, Martin Potthast   +2 more
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Central limit theorem for linear processes generated by m-dependent random variables under the sub-linear expectation

Communications in Statistics - Theory and Methods, 2023
Yong Zhang
exaly