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Efficient estimation of nonparametric regression in the presence of dynamic heteroskedasticity

Accepted version
Peer-reviewed

Type

Article

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Authors

Xiao, Z 

Abstract

We study the efficient estimation of nonparametric regression in the presence of heteroskedasticity. We focus our analysis on local polynomial estimation of nonparametric regressions with conditional heteroskedasticity in a time series setting. We introduce a weighted local polynomial regression smoother that takes account of the dynamic heteroskedasticity. We show that, although traditionally it is adviced that one should not weight for heteroskedasticity in nonparametric regressions, in many popular nonparametric regression models our method has lower asymptotic variance than the usual unweighted procedures. We conduct a Monte Carlo investigation that confirms the efficiency gain over conventional nonparametric regression estimators in finite samples.

Description

Keywords

Efficiency, Heteroskedasticity, Local polynomial estimation, Nonparametric regression

Journal Title

Journal of Econometrics

Conference Name

Journal ISSN

0304-4076
1872-6895

Volume Title

213

Publisher

Elsevier BV