Empirical Likelihood for Generalized Functional-Coefficient Regression Models with Multiple Smoothing Variables under Right Censoring Data
Empirical likelihood as a nonparametric approach has been demonstrated to have many desirable merits for constructing a confidence region. The purpose of this article is to apply the empirical likelihood method to study the generalized functional-coefficient regression models with multiple smoothing...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/1261426 |
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| _version_ | 1850212886968795136 |
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| author | Hong-Xia Xu Han-Sheng Zhong Guo-Liang Fan |
| author_facet | Hong-Xia Xu Han-Sheng Zhong Guo-Liang Fan |
| author_sort | Hong-Xia Xu |
| collection | DOAJ |
| description | Empirical likelihood as a nonparametric approach has been demonstrated to have many desirable merits for constructing a confidence region. The purpose of this article is to apply the empirical likelihood method to study the generalized functional-coefficient regression models with multiple smoothing variables when the response is subject to random right censoring. The coefficient functions with multiple smoothing variables can accommodate various nonlinear interaction effects between covariates. The empirical log-likelihood ratio of an unknown parameter is constructed and shown to have a standard chi-squared limiting distribution at the true parameter. Based on this, the confidence region of the unknown parameter can be constructed. Simulation studies are carried out to indicate that the empirical likelihood method performs better than a normal approximation-based approach for constructing the confidence region. |
| format | Article |
| id | doaj-art-9050db90026d487a98f59d93e1d3b251 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-9050db90026d487a98f59d93e1d3b2512025-08-20T02:09:14ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/12614261261426Empirical Likelihood for Generalized Functional-Coefficient Regression Models with Multiple Smoothing Variables under Right Censoring DataHong-Xia Xu0Han-Sheng Zhong1Guo-Liang Fan2Department of Mathematics, Shanghai Maritime University, Shanghai 201306, ChinaSchool of Economics and Management, Shanghai Maritime University, Shanghai 201306, ChinaSchool of Economics and Management, Shanghai Maritime University, Shanghai 201306, ChinaEmpirical likelihood as a nonparametric approach has been demonstrated to have many desirable merits for constructing a confidence region. The purpose of this article is to apply the empirical likelihood method to study the generalized functional-coefficient regression models with multiple smoothing variables when the response is subject to random right censoring. The coefficient functions with multiple smoothing variables can accommodate various nonlinear interaction effects between covariates. The empirical log-likelihood ratio of an unknown parameter is constructed and shown to have a standard chi-squared limiting distribution at the true parameter. Based on this, the confidence region of the unknown parameter can be constructed. Simulation studies are carried out to indicate that the empirical likelihood method performs better than a normal approximation-based approach for constructing the confidence region.http://dx.doi.org/10.1155/2020/1261426 |
| spellingShingle | Hong-Xia Xu Han-Sheng Zhong Guo-Liang Fan Empirical Likelihood for Generalized Functional-Coefficient Regression Models with Multiple Smoothing Variables under Right Censoring Data Discrete Dynamics in Nature and Society |
| title | Empirical Likelihood for Generalized Functional-Coefficient Regression Models with Multiple Smoothing Variables under Right Censoring Data |
| title_full | Empirical Likelihood for Generalized Functional-Coefficient Regression Models with Multiple Smoothing Variables under Right Censoring Data |
| title_fullStr | Empirical Likelihood for Generalized Functional-Coefficient Regression Models with Multiple Smoothing Variables under Right Censoring Data |
| title_full_unstemmed | Empirical Likelihood for Generalized Functional-Coefficient Regression Models with Multiple Smoothing Variables under Right Censoring Data |
| title_short | Empirical Likelihood for Generalized Functional-Coefficient Regression Models with Multiple Smoothing Variables under Right Censoring Data |
| title_sort | empirical likelihood for generalized functional coefficient regression models with multiple smoothing variables under right censoring data |
| url | http://dx.doi.org/10.1155/2020/1261426 |
| work_keys_str_mv | AT hongxiaxu empiricallikelihoodforgeneralizedfunctionalcoefficientregressionmodelswithmultiplesmoothingvariablesunderrightcensoringdata AT hanshengzhong empiricallikelihoodforgeneralizedfunctionalcoefficientregressionmodelswithmultiplesmoothingvariablesunderrightcensoringdata AT guoliangfan empiricallikelihoodforgeneralizedfunctionalcoefficientregressionmodelswithmultiplesmoothingvariablesunderrightcensoringdata |