Preliminary estimators for robust non-linear regression estimation
In this paper, the robustness of weighted non-linear least-squares estimation based on some preliminary estimators is examined. The preliminary estimators are the L-norm estimates proposed by Schlossmacher, by El-Attar et al., by Koenker and Park, and by Lawrence and Arthur. A numerical example is p...
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| Format: | Article |
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Carfax Publishing Company
1999
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| Online Access: | http://psasir.upm.edu.my/id/eprint/116283/ |
| _version_ | 1848866967573757952 |
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| author | Midi, Habshah |
| author_facet | Midi, Habshah |
| author_sort | Midi, Habshah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, the robustness of weighted non-linear least-squares estimation based on some preliminary estimators is examined. The preliminary estimators are the L-norm estimates proposed by Schlossmacher, by El-Attar et al., by Koenker and Park, and by Lawrence and Arthur. A numerical example is presented to compare the robustness of the weighted non-linear least-squares approach when based on the preliminary estimators of Schlossmacher (HS), El-Attar et al. (HEA), Koenker and Park (HKP), and Lawrence and Arthur (HLA). The study shows that the HEA estimator is as robust as the HKP estimator. However, the HEA estimator posed certain computational problems and required more storage and computing time. |
| first_indexed | 2025-11-15T14:29:01Z |
| format | Article |
| id | upm-116283 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T14:29:01Z |
| publishDate | 1999 |
| publisher | Carfax Publishing Company |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1162832025-03-24T08:00:11Z http://psasir.upm.edu.my/id/eprint/116283/ Preliminary estimators for robust non-linear regression estimation Midi, Habshah In this paper, the robustness of weighted non-linear least-squares estimation based on some preliminary estimators is examined. The preliminary estimators are the L-norm estimates proposed by Schlossmacher, by El-Attar et al., by Koenker and Park, and by Lawrence and Arthur. A numerical example is presented to compare the robustness of the weighted non-linear least-squares approach when based on the preliminary estimators of Schlossmacher (HS), El-Attar et al. (HEA), Koenker and Park (HKP), and Lawrence and Arthur (HLA). The study shows that the HEA estimator is as robust as the HKP estimator. However, the HEA estimator posed certain computational problems and required more storage and computing time. Carfax Publishing Company 1999 Article PeerReviewed Midi, Habshah (1999) Preliminary estimators for robust non-linear regression estimation. Journal of Applied Statistics, 26 (5). pp. 591-600. ISSN 0266-4763; eISSN: 0266-4763 https://www.tandfonline.com/doi/abs/10.1080/02664769922250 10.1080/02664769922250 |
| spellingShingle | Midi, Habshah Preliminary estimators for robust non-linear regression estimation |
| title | Preliminary estimators for robust non-linear regression estimation |
| title_full | Preliminary estimators for robust non-linear regression estimation |
| title_fullStr | Preliminary estimators for robust non-linear regression estimation |
| title_full_unstemmed | Preliminary estimators for robust non-linear regression estimation |
| title_short | Preliminary estimators for robust non-linear regression estimation |
| title_sort | preliminary estimators for robust non-linear regression estimation |
| url | http://psasir.upm.edu.my/id/eprint/116283/ http://psasir.upm.edu.my/id/eprint/116283/ http://psasir.upm.edu.my/id/eprint/116283/ |