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Local regression distribution estimators

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  • Cattaneo, Matias D
  • Jansson, Michael
  • Ma, Xinwei

Abstract

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 “redundant” regressors 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 L2 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.
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Suggested Citation

  • Cattaneo, Matias D & Jansson, Michael & Ma, Xinwei, 2021. "Local regression distribution estimators," University of California at San Diego, Economics Working Paper Series qt7416d3x8, Department of Economics, UC San Diego.
    • Handle: RePEc:cdl:ucsdec:qt7416d3x8
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    References listed on IDEAS

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