Integral Least-Squares Inferences for Semiparametric Models with Functional Data
The inferences for semiparametric models with functional data are investigated. We propose an integral least-squares technique for estimating the parametric components, and the asymptotic normality of the resulting integral least-squares estimator is studied. For the nonparametric components, a loca...
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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/10.1155/2014/632039 |
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| _version_ | 1832563662517174272 |
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| author | Limian Zhao Peixin Zhao |
| author_facet | Limian Zhao Peixin Zhao |
| author_sort | Limian Zhao |
| collection | DOAJ |
| description | The inferences for semiparametric models with functional data are investigated. We propose an integral least-squares technique for estimating the parametric components, and the asymptotic normality of the resulting integral least-squares estimator is studied. For the nonparametric components, a local integral least-squares estimation method is proposed, and the asymptotic normality of the resulting estimator is also established. Based on these results, the confidence intervals for the parametric component and the nonparametric component are constructed. At last, some simulation studies and a real data analysis are undertaken to assess the finite sample performance of the proposed estimation method. |
| format | Article |
| id | doaj-art-c8f069519e1945f2ab7aba16e5718475 |
| 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-c8f069519e1945f2ab7aba16e57184752025-02-03T01:12:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/632039632039Integral Least-Squares Inferences for Semiparametric Models with Functional DataLimian Zhao0Peixin Zhao1College of Mathematics and Statistics, Hechi University, Yizhou, Guangxi 546300, ChinaCollege of Mathematics and Statistics, Hechi University, Yizhou, Guangxi 546300, ChinaThe inferences for semiparametric models with functional data are investigated. We propose an integral least-squares technique for estimating the parametric components, and the asymptotic normality of the resulting integral least-squares estimator is studied. For the nonparametric components, a local integral least-squares estimation method is proposed, and the asymptotic normality of the resulting estimator is also established. Based on these results, the confidence intervals for the parametric component and the nonparametric component are constructed. At last, some simulation studies and a real data analysis are undertaken to assess the finite sample performance of the proposed estimation method.http://dx.doi.org/10.1155/2014/632039 |
| spellingShingle | Limian Zhao Peixin Zhao Integral Least-Squares Inferences for Semiparametric Models with Functional Data Journal of Applied Mathematics |
| title | Integral Least-Squares Inferences for Semiparametric Models with Functional Data |
| title_full | Integral Least-Squares Inferences for Semiparametric Models with Functional Data |
| title_fullStr | Integral Least-Squares Inferences for Semiparametric Models with Functional Data |
| title_full_unstemmed | Integral Least-Squares Inferences for Semiparametric Models with Functional Data |
| title_short | Integral Least-Squares Inferences for Semiparametric Models with Functional Data |
| title_sort | integral least squares inferences for semiparametric models with functional data |
| url | http://dx.doi.org/10.1155/2014/632039 |
| work_keys_str_mv | AT limianzhao integralleastsquaresinferencesforsemiparametricmodelswithfunctionaldata AT peixinzhao integralleastsquaresinferencesforsemiparametricmodelswithfunctionaldata |