Precise asymptotics for complete integral convergence in the law of iterated logarithm under the sub-linear expectations.

Abstract.In this article, we establish precise asymptotics for complete integral convergence in the law of iterated logarithm under the sub-linear expectation space. We extend some precise asymptotics for complete integral convergence theorems from the classical probability space to sub-linear expectation space. Further, we extend the precise asymptotics theorem to the maximum of partial sums under the sub-linear expectation space. [ABSTRACT FROM AUTHOR]