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math.ST2026
Time-Uniform Dependent Central Limit Theory
Mingxuan Ge, Yanlong Liu
We establish a near-optimal almost sure invariance principle for nonstationary time series under the functional dependence measure (FDM) framework. This result yields a universal t…
math.ST2023
Consistency Theory of General Nonparametric Classification Methods in Cognitive Diagnosis
Chengyu Cui, Yanlong Liu, Gongjun Xu
Cognitive diagnosis models have been popularly used in fields such as education, psychology, and social sciences. While parametric likelihood estimation is a prevailing method for…