The Law of the Iterated Logarithm for Linear Processes Generated by a Sequence of Stationary Independent Random Variables under the Sub-Linear Expectation

Entropy (Basel). 2021 Oct 7;23(10):1313. doi: 10.3390/e23101313.

Abstract

In this paper, we obtain the law of iterated logarithm for linear processes in sub-linear expectation space. It is established for strictly stationary independent random variable sequences with finite second-order moments in the sense of non-additive capacity.

Keywords: capacity; linear process; stationary sequences; sub-linear expectation; the law of the iterated logarithm.