The concept of upper variance under multiple probabilities is defined through a corresponding minimax optimization problem.This study proposes a simple algorithm to solve this optimization problem exactly.Additionally...
Supported by grants from the NSF of China(Grant Nos.2024YFA101350,U23A2064 and 12031005)。
We establish the Strassen's law of the iterated logarithm(LIL for short)for independent and identically distributed random variables with E[X_(1)]=ε[X_(1)]=0 and Cv[X_(1)^(2)]<∞ under a sublinear expectation space w...
supported by the National Natural Science Foundation of China(Nos.12326603,11601281,11501325);the National Key R&D Program of China(No.2018YFA0703900);the Natural Science Foundation of Shandong Province(No.ZR2021MA018);the Social Science Planning Project of Shandong Province(No.24CJJJ18);the Qilu Scholars Program of Shandong University。
In this paper,the authors firstly establish the weak laws of large numbers on the canonical space(R^(N),B(R^(N)))by traditional truncation method and Chebyshev’s inequality as in the classical probability theory.Then...
Given the complexity and uncertainty of logistics systems in a mass customization environment,decision-making teams often rely on linguistic phrases rather than quantifiable evaluation indices when selecting an evalua...
financially supported by the National Natural Science Foundation of China(Nos.11974353 and 12374018);the University Natural Science Foundation of Anhui Province(Nos.2022AH051578 and 2023AH051543)。
The planar heterojunction solar cells based on the GaAs films doped with gold nanoparticles(Au NPs)are investigated by a finite-difference time-domain method.The numerical results show that Au NPs effectively increase...
How well is FOCAC meeting Africa’s aspirations for development?The idea of establishing the Forum on China-Africa Cooperation(FOCAC)in 2000 initially came from African countries,eager to coordinate and manage their r...
supported by the Natural Science Foundation of Guangxi(Grant No.2024GXNSFAA010476);the National Natural Science Foundation of China(Grant No.12361031)。
In this article,we study strong limit theorems for weighted sums of extended negatively dependent random variables under the sub-linear expectations.We establish general strong law and complete convergence theorems fo...
Multivalent metal-ion batteries have attracted wide attention with the expectation of tackling the needs of large-scale electrochemical energy storage[1].Among them,rechargeable calcium(Ca)-ion batteries are known as ...
Doctoral Scientific Research Starting Foundation of Jingdezhen Ceramic University (Grant No. 102/01003002031);Academic Achievement Re-cultivation Project of Jingdezhen Ceramic University (Grant No. 215/205062777);the Science and Technology Research Project of Jiangxi Provincial Department of Education of China (Grant No. GJJ2201041)。
In this work, the sample path large deviations for independent, identically distributed random variables under sub-linear expectations are established. The results obtained in sublinear expectation spaces extend the c...
Supported by grants from the NSF of China(Grant No.11731012,12031005);Ten Thousands Talents Plan of Zhejiang Province(Grant No.2018R52042);NSF of Zhejiang Province(Grant No.LZ21A010002);the Fundamental Research Funds for the Central Universities.
In this paper,the functional central limit theorem is established for martingale like ran-dom vectors under the framework sub-linear expectations introduced by Shige Peng.As applications,the Lindeberg central limit th...