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Local regression distribution estimators
DOI:10.1016/j.jeconom.2021.01.006.png)
Abstract
En 中文
This paper investigates the large sample properties of local regression distribution estimators, which include a class of boundary adaptive density estimators as a prime example. First, we establish a pointwise Gaussian large sample distributional approximation in a unified way, allowing for both boundary and interior evaluation points simultaneously. Using this result, we study the asymptotic efficiency of the estimators, and show that a carefully crafted minimum distance implementation based on redundantregressors can lead to efficiency gains. Second, we establish uniform linearizations and strong approximations for the estimators, and employ these results to construct valid confidence bands. Third, we develop extensions to weighted distributions with estimated weights and to local L 2 estimation. Finally, we illustrate our methods with two applications in program evaluation: counterfactual density testing, and IV specification and heterogeneity density analysis. Companion software packages in Stata and R are available. (c) 2021 Elsevier B.V. All rights reserved.
Keywords:
Distribution and density estimation
Local polynomial methods
Uniform approximation
Efficiency
Optimal kernel
Program evaluation
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