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AUGMENTED MINIMAX LINEAR ESTIMATION

delete2021-12-01
delete24
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OA
AI
D
David A. Hirshberg *
S
Stefan Wager
DOI:10.1214/21-AOS2080delete
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Abstract

Abstract

En 中文
Many statistical estimands can expressed as continuous linear functionals of a conditional expectation function. This includes the average treatment effect under unconfoundedness and generalizations for continuous-valued and personalized treatments. In this paper, we discuss a general approach to estimating such quantities: we begin with a simple plug-in estimator based on an estimate of the conditional expectation function, and then correct the plugin estimator by subtracting a minimax linear estimate of its error. We show that our method is semiparametrically efficient under weak conditions and observe promising performance on both real and simulated data.
Keywords:
Causal inference
convex optimization
semiparametric efficiency

Journal

Annals of Statistics cover
Annals of Statistics
IF:
3.7
Papers:
2.8K
Citations:
2.9W

Organization

S
Stanford University
Scholars:
9.6W
Papers: 8.2W
Citations: 17.0W
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