Estimation of parameters in heteroscedastic multiple regression model using leverage based near-neighbors.
In this study, we propose a Leverage Based Near-Neighbor (LBNN) method where prior information on the structure of the heteroscedastic error is not required. In the proposed LBNN method, weights are determined not from the near-neighbor values of the explanatory variables, but from their correspondi...
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Asian Network for Scientific Information
2009
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my.upm.eprints.145722015-10-22T07:14:07Z http://psasir.upm.edu.my/id/eprint/14572/ Estimation of parameters in heteroscedastic multiple regression model using leverage based near-neighbors. Midi, Habshah Rana, Sohel Imon, A. H. M. R. In this study, we propose a Leverage Based Near-Neighbor (LBNN) method where prior information on the structure of the heteroscedastic error is not required. In the proposed LBNN method, weights are determined not from the near-neighbor values of the explanatory variables, but from their corresponding leverage values so that it can be readily applied to a multiple regression model. Both the empirical and Monte Carlo simulation results show that the LBNN method offers substantial improvement over the existing methods. The LBNN has significantly reduced the standard errors of the estimates and also the standard errors of residuals for both simple and multiple linear regression models. Hence, the LBNN can be established as one reliable alternative approach to other existing methods that deal with heteroscedastic errors when the form of heteroscedasticity is unknown. Asian Network for Scientific Information 2009 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/14572/1/Estimation%20of%20parameters%20in%20heteroscedastic%20multiple%20regression%20model%20using%20leverage%20based%20near.pdf Midi, Habshah and Rana, Sohel and Imon, A. H. M. R. (2009) Estimation of parameters in heteroscedastic multiple regression model using leverage based near-neighbors. Journal of Applied Sciences, 9 (22). pp. 4013-4019. ISSN 1812-5654; ESSN: 1812-5662 http://scialert.net/jindex.php?issn=1812-5654 10.3923/jas.2009.4013.4019 English |
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In this study, we propose a Leverage Based Near-Neighbor (LBNN) method where prior information on the structure of the heteroscedastic error is not required. In the proposed LBNN method, weights are determined not from the near-neighbor values of the explanatory variables, but from their corresponding leverage values so that it can be readily applied to a multiple regression model. Both the empirical and Monte Carlo simulation results show that the LBNN method offers substantial improvement over the existing methods. The LBNN has significantly reduced the standard errors of the estimates and also the standard errors of residuals for both simple and multiple linear regression models. Hence, the LBNN can be established as one reliable alternative approach to other existing methods that deal with heteroscedastic errors when the form of heteroscedasticity is unknown. |
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Midi, Habshah Rana, Sohel Imon, A. H. M. R. |
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Midi, Habshah Rana, Sohel Imon, A. H. M. R. Estimation of parameters in heteroscedastic multiple regression model using leverage based near-neighbors. |
author_facet |
Midi, Habshah Rana, Sohel Imon, A. H. M. R. |
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Midi, Habshah |
title |
Estimation of parameters in heteroscedastic multiple regression model using leverage based near-neighbors. |
title_short |
Estimation of parameters in heteroscedastic multiple regression model using leverage based near-neighbors. |
title_full |
Estimation of parameters in heteroscedastic multiple regression model using leverage based near-neighbors. |
title_fullStr |
Estimation of parameters in heteroscedastic multiple regression model using leverage based near-neighbors. |
title_full_unstemmed |
Estimation of parameters in heteroscedastic multiple regression model using leverage based near-neighbors. |
title_sort |
estimation of parameters in heteroscedastic multiple regression model using leverage based near-neighbors. |
publisher |
Asian Network for Scientific Information |
publishDate |
2009 |
url |
http://psasir.upm.edu.my/id/eprint/14572/1/Estimation%20of%20parameters%20in%20heteroscedastic%20multiple%20regression%20model%20using%20leverage%20based%20near.pdf http://psasir.upm.edu.my/id/eprint/14572/ http://scialert.net/jindex.php?issn=1812-5654 |
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