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math.ST2025
Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds
Lvfang Sun, Zhenhua Lin, Lin Liu
Asymptotic efficiency theory is one of the pillars in the foundations of modern mathematical statistics. Not only does it serve as a rigorous theoretical benchmark for evaluating s…
math.ST2024
Optimal estimation in private distributed functional data analysis
Gengyu Xue, Zhenhua Lin, Yi Yu
We systematically investigate the preservation of differential privacy in functional data analysis, beginning with functional mean estimation and extending to varying coefficient m…