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math.ST2026
Stabilized Higher-Order Influence Functions: Statistical Theory of a Class of Bilinear Forms
Na Liu, Chang Li, Yujia Gu +1
Higher-order influence functions, introduced in a series of articles (Robins et al., 2008, 2009a; van der Vaart, 2014; Robins et al., 2016, 2023; Liu et al., 2017), are a unified f…
math.ST2026
On the Asymptotic Inadmissibility of Double Machine Learning Estimators Under Structure-Agnostic Models
Lin Liu, Rajarshi Mukherjee, James M Robins
Structure-agnostic (SA) models introduced by Balakrishnan et al. (2026) aim to reflect the general lack of knowledge of structural assumptions on data-generating laws such as smoot…
math.ST2024
Method-of-Moments Inference for GLMs and Doubly Robust Functionals under Proportional Asymptotics
Xingyu Chen, Lin Liu, Rajarshi Mukherjee
In this paper, we consider the estimation of regression coefficients and signal-to-noise (SNR) ratio in high-dimensional Generalized Linear Models (GLMs), and explore their implica…