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Simple Local Polynomial Density Estimators

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

Abstract

This article introduces an intuitive and easy-to-implement nonparametric density estimator based on local polynomial techniques. The estimator is fully boundary adaptive and automatic, but does not require prebinning or any other transformation of the data. We study the main asymptotic properties of the estimator, and use these results to provide principled estimation, inference, and bandwidth selection methods. As a substantive application of our results, we develop a novel discontinuity in density testing procedure, an important problem in regression discontinuity designs and other program evaluation settings. An illustrative empirical application is given. Two companion Stata and R software packages are provided.

Suggested Citation

  • Cattaneo, Matias D & Jansson, Michael & Ma, Xinwei, 2020. "Simple Local Polynomial Density Estimators," Department of Economics, Working Paper Series qt9vt997qn, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    • Handle: RePEc:cdl:econwp:qt9vt997qn
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