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Bootstrap-Based Inference for Cube Root Asymptotics

Matias Cattaneo (), Michael Jansson () and K Nagasawa

Department of Economics, Working Paper Series from Department of Economics, Institute for Business and Economic Research, UC Berkeley

Abstract: This paper proposes a valid bootstrap-based distributional approximation for M-estimators exhibiting a Chernoff (1964)-type limiting distribution. For estimators of this kind, the standard nonparametric bootstrap is inconsistent. The method proposed herein is based on the nonparametric bootstrap, but restores consistency by altering the shape of the criterion function defining the estimator whose distribution we seek to approximate. This modification leads to a generic and easy-to-implement resampling method for inference that is conceptually distinct from other available distributional approximations. We illustrate the applicability of our results with four examples in econometrics and machine learning.

Keywords: Cube root asymptotics; bootstrapping; maximum score; empirical risk minimization; Economic Theory; Applied Economics; Econometrics (search for similar items in EconPapers)
Date: 2020-09-01
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Journal Article: Bootstrap‐Based Inference for Cube Root Asymptotics (2020) Downloads
Working Paper: Bootstrap-Based Inference for Cube Root Asymptotics (2020) Downloads
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