Stein’s method for the law of large numbers under sublinear expectations

Yongsheng Song

doi:10.3934/puqr.2021010

Article Contents

2021, Volume 6, Issue 3: 199-212. Doi: 10.3934/puqr.2021010

This issue Previous Article Optimal unbiased estimation for maximal distribution Next Article Stochastic maximum principle for systems driven by local martingales with spatial parameters

Stein’s method for the law of large numbers under sublinear expectations

Yongsheng Song^1,2,

1.
RCSDS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
2.
School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received: June 02, 2021

Accepted: August 20, 2021

Published: September 2021

This research is supported by the National Key R&D Program of China (Grant Nos. 2020YFA0712700, 2018YFA0703901); National Natural Science Foundation of China (Grant Nos.11871458, 11688101) and Key Research Program of Frontier Sciences, CAS (Grant No. QYZDB-SSW-SYS017).

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Abstract

Peng, S. [6] proved the law of large numbers under a sublinear expectation. In this paper, we give its error estimates by Stein’s method.

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Mathematics Subject Classification: 60F05, 60G50.

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References

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