报告文章：Functional central limit theorem with mean-uncertainty under sublinear expectation(Xiaofan GUO & Xinpeng LI)

摘要：Introduce a fundamental model for independent and identically distributed sequence with model uncertainty on the canonical space (RN, B(RN)) via probability kernels.

Obtain a new functional central limit theorem with mean-uncertainty on the canonical space by the method based on the martingale central limit theorem and stability of stochastic integral in the classical probability theory.

Extend it to the general sublinear expectation space through a new representation theorem.