Heteroscedastic nonlinear regression by using Tanh psi function
This article is concerned with the extension of heteroscedastic nonlinear regression estimation by using Tanh Psi function. The robustness properties of the Tanh's and Hampel's Weighted MM (WMM) estimators were investigated. In our simulation study, it has been shown that the biases and R...
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2000
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| Online Access: | http://psasir.upm.edu.my/id/eprint/22559/ http://psasir.upm.edu.my/id/eprint/22559/1/Heteroscedastic%20nonlinear%20regression%20by%20using%20Tanh%20psi%20function.pdf |
| _version_ | 1848844517465128960 |
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| author | Midi, Habshah |
| author_facet | Midi, Habshah |
| author_sort | Midi, Habshah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This article is concerned with the extension of heteroscedastic nonlinear regression estimation by using Tanh Psi function. The robustness properties of the Tanh's and Hampel's Weighted MM (WMM) estimators were investigated. In our simulation study, it has been shown that the biases and RMSE'S of the Hampel's estimates increase appreciably higher than the Tanh's estimates as the percentage of outliers increases. Hence, by utilising the Tanh's rho function in the WMM estimator, the accuracy and the efficiency of the estimates can be improved substantially. |
| first_indexed | 2025-11-15T08:32:11Z |
| format | Article |
| id | upm-22559 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:32:11Z |
| publishDate | 2000 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-225592016-02-02T04:09:51Z http://psasir.upm.edu.my/id/eprint/22559/ Heteroscedastic nonlinear regression by using Tanh psi function Midi, Habshah This article is concerned with the extension of heteroscedastic nonlinear regression estimation by using Tanh Psi function. The robustness properties of the Tanh's and Hampel's Weighted MM (WMM) estimators were investigated. In our simulation study, it has been shown that the biases and RMSE'S of the Hampel's estimates increase appreciably higher than the Tanh's estimates as the percentage of outliers increases. Hence, by utilising the Tanh's rho function in the WMM estimator, the accuracy and the efficiency of the estimates can be improved substantially. Penerbit Universiti Kebangsaan Malaysia 2000 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/22559/1/Heteroscedastic%20nonlinear%20regression%20by%20using%20Tanh%20psi%20function.pdf Midi, Habshah (2000) Heteroscedastic nonlinear regression by using Tanh psi function. Sains Malaysiana, 29. pp. 103-118. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol29_2000/vol29_00page103-118.html |
| spellingShingle | Midi, Habshah Heteroscedastic nonlinear regression by using Tanh psi function |
| title | Heteroscedastic nonlinear regression by using Tanh psi function |
| title_full | Heteroscedastic nonlinear regression by using Tanh psi function |
| title_fullStr | Heteroscedastic nonlinear regression by using Tanh psi function |
| title_full_unstemmed | Heteroscedastic nonlinear regression by using Tanh psi function |
| title_short | Heteroscedastic nonlinear regression by using Tanh psi function |
| title_sort | heteroscedastic nonlinear regression by using tanh psi function |
| url | http://psasir.upm.edu.my/id/eprint/22559/ http://psasir.upm.edu.my/id/eprint/22559/ http://psasir.upm.edu.my/id/eprint/22559/1/Heteroscedastic%20nonlinear%20regression%20by%20using%20Tanh%20psi%20function.pdf |