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Sample Path Large Deviations for Independent Random Variables under Sub-Linear Expectations

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In this work,the sample path large deviations for independent,identically distributed random variables under sub-linear expectations are established.The results obtained in sub-linear expectation spaces extend the corresponding ones in probability space.

sample path large deviationsindependent random variablessub-linear expectation

Mingzhou XU

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School of Information Engineering,Jingdezhen Ceramic University,Jiangxi 333403,P.R.China

Doctoral Scientific Research Starting Foundation of Jingdezhen Ceramic UniversityAcademic Achievement Recultivation Project of Jingdezhen Ceramic UniversityScience and Technology Research Project of Jiangxi Provincial Department of Education of China

102/01003002031215/205062777GJJ2201041

2024

10.3770/j.issn:2095-2651.2024.04.013

数学研究及应用
大连理工大学

数学研究及应用

影响因子：0.094
ISSN：2095-2651
年,卷(期)：2024.44(4)