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 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2007
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| Online Access: | http://dspace.nbuv.gov.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| Summary: | 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. |
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