Sample Path Large Deviations for Independent Random Variables under Sub-Linear Expectations
Received:August 01, 2023  Revised:December 16, 2023
Key Words: sample path large deviations   independent random variables   sub-linear expectation  
Fund Project:Supported by the 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) and the Science and Technology Research Project of Jiangxi Provincial Department of Education of China (Grant No.GJJ2201041).
Author NameAffiliation
Mingzhou XU School of Information Engineering, Jingdezhen Ceramic University, Jiangxi 333403, P. R. China 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:2095-2651.2024.04.013
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