The Local Linear M-Estimation with Missing Response Data
This paper studies the nonparametric regressive function with missing response data. Three local linear M-estimators with the robustness of local linear regression smoothers are presented such that they have the same asymptotic normality and consistency. Then finite-sample performance is examined vi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/398082 |
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| _version_ | 1832556013544275968 |
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| author | Shuanghua Luo Cheng-Yi Zhang Fengmin Xu |
| author_facet | Shuanghua Luo Cheng-Yi Zhang Fengmin Xu |
| author_sort | Shuanghua Luo |
| collection | DOAJ |
| description | This paper studies the nonparametric regressive function with missing response data. Three local linear M-estimators with the robustness of local linear regression smoothers are presented such that they have the same asymptotic normality and consistency. Then finite-sample performance is examined via simulation studies. Simulations demonstrate that the complete-case data M-estimator is not superior to the other two local linear M-estimators. |
| format | Article |
| id | doaj-art-b1728a085e08439aa9f1ca462cf7138b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b1728a085e08439aa9f1ca462cf7138b2025-02-03T05:46:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/398082398082The Local Linear M-Estimation with Missing Response DataShuanghua Luo0Cheng-Yi Zhang1Fengmin Xu2School of Science, Xi’an Polytechnic University, Xi’an, Shaanxi 710048, ChinaSchool of Science, Xi’an Polytechnic University, Xi’an, Shaanxi 710048, ChinaInstitute of Information and System Science and School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, ChinaThis paper studies the nonparametric regressive function with missing response data. Three local linear M-estimators with the robustness of local linear regression smoothers are presented such that they have the same asymptotic normality and consistency. Then finite-sample performance is examined via simulation studies. Simulations demonstrate that the complete-case data M-estimator is not superior to the other two local linear M-estimators.http://dx.doi.org/10.1155/2014/398082 |
| spellingShingle | Shuanghua Luo Cheng-Yi Zhang Fengmin Xu The Local Linear M-Estimation with Missing Response Data Journal of Applied Mathematics |
| title | The Local Linear M-Estimation with Missing Response Data |
| title_full | The Local Linear M-Estimation with Missing Response Data |
| title_fullStr | The Local Linear M-Estimation with Missing Response Data |
| title_full_unstemmed | The Local Linear M-Estimation with Missing Response Data |
| title_short | The Local Linear M-Estimation with Missing Response Data |
| title_sort | local linear m estimation with missing response data |
| url | http://dx.doi.org/10.1155/2014/398082 |
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