A comparison of nonlinear and nonparametric regression methods
Thesis (M.A.S.)--Memorial University of Newfoundland, 2010. Mathematics and Statistics Includes bibliographical references (leaves 48-49) In this report, we investigate the performance of nonlinear regression and nonparametric regression with data set simulated under a nonlinear parametric model. Fi...
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ftmemorialunivdc:oai:collections.mun.ca:theses4/41523 2023-05-15T17:23:33+02:00 A comparison of nonlinear and nonparametric regression methods Chen, Min, 1981- Memorial University of Newfoundland. Dept. of Mathematics and Statistics 2010 vii, 49 leaves : ill. Image/jpeg; Application/pdf http://collections.mun.ca/cdm/ref/collection/theses4/id/41523 Eng eng Electronic Theses and Dissertations (7.94 MB) -- http://collections.mun.ca/PDFs/theses/Chen_Min.pdf a3295732 http://collections.mun.ca/cdm/ref/collection/theses4/id/41523 The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. Paper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries Regression analysis--Mathematical models--Evaluation Smoothing (Statistics) Text Electronic thesis or dissertation 2010 ftmemorialunivdc 2015-08-06T19:21:57Z Thesis (M.A.S.)--Memorial University of Newfoundland, 2010. Mathematics and Statistics Includes bibliographical references (leaves 48-49) In this report, we investigate the performance of nonlinear regression and nonparametric regression with data set simulated under a nonlinear parametric model. First, we consider the nonlinear least squares estimation method for the model. Then, we apply various nonparametric regression methods such as kernel methods, spline smoothing, and wavelet version of estimators with the same model. The nonlinear least squares estimation method produces the best estimation in terms of MSE among all the regression methods. Both kernel methods and wavelet version of estimation methods produce reasonably small values of MSE. Moreover, the wavelet regression method performances best among all the nonparametric methods. The spline method produces unacceptably large MSE due to large variance of estimation. The boundary issues do exist in all the nonparametric regression methods due to less density of data points. Thesis Newfoundland studies University of Newfoundland Memorial University of Newfoundland: Digital Archives Initiative (DAI) |
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Memorial University of Newfoundland: Digital Archives Initiative (DAI) |
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ftmemorialunivdc |
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English |
topic |
Regression analysis--Mathematical models--Evaluation Smoothing (Statistics) |
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Regression analysis--Mathematical models--Evaluation Smoothing (Statistics) Chen, Min, 1981- A comparison of nonlinear and nonparametric regression methods |
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Regression analysis--Mathematical models--Evaluation Smoothing (Statistics) |
description |
Thesis (M.A.S.)--Memorial University of Newfoundland, 2010. Mathematics and Statistics Includes bibliographical references (leaves 48-49) In this report, we investigate the performance of nonlinear regression and nonparametric regression with data set simulated under a nonlinear parametric model. First, we consider the nonlinear least squares estimation method for the model. Then, we apply various nonparametric regression methods such as kernel methods, spline smoothing, and wavelet version of estimators with the same model. The nonlinear least squares estimation method produces the best estimation in terms of MSE among all the regression methods. Both kernel methods and wavelet version of estimation methods produce reasonably small values of MSE. Moreover, the wavelet regression method performances best among all the nonparametric methods. The spline method produces unacceptably large MSE due to large variance of estimation. The boundary issues do exist in all the nonparametric regression methods due to less density of data points. |
author2 |
Memorial University of Newfoundland. Dept. of Mathematics and Statistics |
format |
Thesis |
author |
Chen, Min, 1981- |
author_facet |
Chen, Min, 1981- |
author_sort |
Chen, Min, 1981- |
title |
A comparison of nonlinear and nonparametric regression methods |
title_short |
A comparison of nonlinear and nonparametric regression methods |
title_full |
A comparison of nonlinear and nonparametric regression methods |
title_fullStr |
A comparison of nonlinear and nonparametric regression methods |
title_full_unstemmed |
A comparison of nonlinear and nonparametric regression methods |
title_sort |
comparison of nonlinear and nonparametric regression methods |
publishDate |
2010 |
url |
http://collections.mun.ca/cdm/ref/collection/theses4/id/41523 |
genre |
Newfoundland studies University of Newfoundland |
genre_facet |
Newfoundland studies University of Newfoundland |
op_source |
Paper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries |
op_relation |
Electronic Theses and Dissertations (7.94 MB) -- http://collections.mun.ca/PDFs/theses/Chen_Min.pdf a3295732 http://collections.mun.ca/cdm/ref/collection/theses4/id/41523 |
op_rights |
The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. |
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1766113234082856960 |