Precise Asymptotics in the Law of the Iterated Logarithm under Sublinear Expectations | Zendy

Mingzhou Xu | Zendy; Kun Cheng | Zendy

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Precise Asymptotics in the Law of the Iterated Logarithm under Sublinear Expectations

Author(s) -

Mingzhou Xu,

Kun Cheng

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/6691857

Subject(s) - sublinear function , law of the iterated logarithm , mathematics , central limit theorem , logarithm , independent and identically distributed random variables , iterated logarithm , iterated function , limit (mathematics) , random variable , rate of convergence , convergence (economics) , pure mathematics , discrete mathematics , mathematical analysis , statistics , computer science , economics , channel (broadcasting) , economic growth , computer network

By an inequality of partial sum and uniform convergence of the central limit theorem under sublinear expectations, we establish precise asymptotics in the law of the iterated logarithm for independent and identically distributed random variables under sublinear expectations.

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