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math.ST2020
On the High Accuracy Limitation of Adaptive Property Estimation
Yanjun Han
Recent years have witnessed the success of adaptive (or unified) approaches in estimating symmetric properties of discrete distributions, where one first obtains a distribution est…
math.ST2020
On the Competitive Analysis and High Accuracy Optimality of Profile Maximum Likelihood
Yanjun Han, Kirankumar Shiragur
A striking result of [Acharya et al. 2017] showed that to estimate symmetric properties of discrete distributions, plugging in the distribution that maximizes the likelihood of obs…
math.ST2020
Minimax Optimal Nonparametric Estimation of Heterogeneous Treatment Effects
Zijun Gao, Yanjun Han
A central goal of causal inference is to detect and estimate the treatment effects of a given treatment or intervention on an outcome variable of interest, where a member known as…