Uniform in Bandwidth Consistency of Local Polynomial Regression Function Estimators

Uniform in Bandwidth Consistency of Local Polynomial Regression Function Estimators

We generalize a method for proving uniform in bandwidth consistency results for kernel type estimators developed by the two last named authors. Such results are shown to be useful in establishing consistency of local polynomial estimators of the regression function.

Bibliographic Details
Main Authors: Julia Dony, Uwe Einmahl, David M. Mason
Format: Article
Language:English
Published: Austrian Statistical Society 2016-04-01
Series:Austrian Journal of Statistics
Online Access:http://www.ajs.or.at/index.php/ajs/article/view/359
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spelling doaj-1055740065de4332bc078b86aa708c932021-04-22T12:33:46ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2016-04-01352&310.17713/ajs.v35i2&3.359Uniform in Bandwidth Consistency of Local Polynomial Regression Function EstimatorsJulia Dony0Uwe Einmahl1David M. Mason2Vrije Universiteit Brussel, BelgiumVrije Universiteit Brussel, BelgiumUniversity of Delaware, U.S.A.We generalize a method for proving uniform in bandwidth consistency results for kernel type estimators developed by the two last named authors. Such results are shown to be useful in establishing consistency of local polynomial estimators of the regression function.http://www.ajs.or.at/index.php/ajs/article/view/359
collection DOAJ
language English
format Article
sources DOAJ
author Julia Dony
Uwe Einmahl
David M. Mason
spellingShingle Julia Dony
Uwe Einmahl
David M. Mason
Uniform in Bandwidth Consistency of Local Polynomial Regression Function Estimators
Austrian Journal of Statistics
author_facet Julia Dony
Uwe Einmahl
David M. Mason
author_sort Julia Dony
title Uniform in Bandwidth Consistency of Local Polynomial Regression Function Estimators
title_short Uniform in Bandwidth Consistency of Local Polynomial Regression Function Estimators
title_full Uniform in Bandwidth Consistency of Local Polynomial Regression Function Estimators
title_fullStr Uniform in Bandwidth Consistency of Local Polynomial Regression Function Estimators
title_full_unstemmed Uniform in Bandwidth Consistency of Local Polynomial Regression Function Estimators
title_sort uniform in bandwidth consistency of local polynomial regression function estimators
publisher Austrian Statistical Society
series Austrian Journal of Statistics
issn 1026-597X
publishDate 2016-04-01
description We generalize a method for proving uniform in bandwidth consistency results for kernel type estimators developed by the two last named authors. Such results are shown to be useful in establishing consistency of local polynomial estimators of the regression function.
url http://www.ajs.or.at/index.php/ajs/article/view/359
work_keys_str_mv AT juliadony uniforminbandwidthconsistencyoflocalpolynomialregressionfunctionestimators
AT uweeinmahl uniforminbandwidthconsistencyoflocalpolynomialregressionfunctionestimators
AT davidmmason uniforminbandwidthconsistencyoflocalpolynomialregressionfunctionestimators
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