Kernel‐Based Semiparametric Estimators: Small Bandwidth Asymptotics and Bootstrap Consistency

S-Tier
Journal: Econometrica
Year: 2018
Volume: 86
Issue: 3
Pages: 955-995

Score contribution per author:

4.022 = (α=2.01 / 2 authors) × 4.0x S-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

This paper develops asymptotic approximations for kernel‐based semiparametric estimators under assumptions accommodating slower‐than‐usual rates of convergence of their nonparametric ingredients. Our first main result is a distributional approximation for semiparametric estimators that differs from existing approximations by accounting for a bias. This bias is nonnegligible in general, and therefore poses a challenge for inference. Our second main result shows that some (but not all) nonparametric bootstrap distributional approximations provide an automatic method of correcting for the bias. Our general theory is illustrated by means of examples and its main finite sample implications are corroborated in a simulation study.

Technical Details

RePEc Handle
repec:wly:emetrp:v:86:y:2018:i:3:p:955-995
Journal Field
General
Author Count
2
Added to Database
2026-01-25