On local linear estimation in nonparametric errors-in-variables models

Local linear methods are applied to a nonparametric regression model with normal errors in the variables and uniform distribution of the variables. The local neighborhood is determined with help of deconvolution kernels. Two different linear estimation method are used: the naive estimator and the to...

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Date:2007
Main Author: Zwanzig, S.
Format: Article
Language:English
Published: Інститут математики НАН України 2007
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/4500
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On local linear estimation in nonparametric errors-in-variables models / S. Zwanzig // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 316-327. — Бібліогр.: 5 назв.— англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Zwanzig, S.
author_facet Zwanzig, S.
citation_txt On local linear estimation in nonparametric errors-in-variables models / S. Zwanzig // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 316-327. — Бібліогр.: 5 назв.— англ.
collection DSpace DC
description Local linear methods are applied to a nonparametric regression model with normal errors in the variables and uniform distribution of the variables. The local neighborhood is determined with help of deconvolution kernels. Two different linear estimation method are used: the naive estimator and the total least squares estimator. Both local linear estimators are consistent. But only the local naive estimator delivers an estimation of the tangent.
first_indexed 2025-12-07T15:57:08Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 0321-3900
language English
last_indexed 2025-12-07T15:57:08Z
publishDate 2007
publisher Інститут математики НАН України
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spelling Zwanzig, S.
2009-11-19T10:30:45Z
2009-11-19T10:30:45Z
2007
On local linear estimation in nonparametric errors-in-variables models / S. Zwanzig // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 316-327. — Бібліогр.: 5 назв.— англ.
0321-3900
https://nasplib.isofts.kiev.ua/handle/123456789/4500
Local linear methods are applied to a nonparametric regression model with normal errors in the variables and uniform distribution of the variables. The local neighborhood is determined with help of deconvolution kernels. Two different linear estimation method are used: the naive estimator and the total least squares estimator. Both local linear estimators are consistent. But only the local naive estimator delivers an estimation of the tangent.
en
Інститут математики НАН України
On local linear estimation in nonparametric errors-in-variables models
Article
published earlier
spellingShingle On local linear estimation in nonparametric errors-in-variables models
Zwanzig, S.
title On local linear estimation in nonparametric errors-in-variables models
title_full On local linear estimation in nonparametric errors-in-variables models
title_fullStr On local linear estimation in nonparametric errors-in-variables models
title_full_unstemmed On local linear estimation in nonparametric errors-in-variables models
title_short On local linear estimation in nonparametric errors-in-variables models
title_sort on local linear estimation in nonparametric errors-in-variables models
url https://nasplib.isofts.kiev.ua/handle/123456789/4500
work_keys_str_mv AT zwanzigs onlocallinearestimationinnonparametricerrorsinvariablesmodels