Asymptotic Normality of Nonparametric Kernel Regression Estimation for Missing at Random Functional Spatial Data
This study investigates the estimation of the regression function using the kernel method in the presence of missing at random responses, assuming spatial dependence, and complete observation of the functional regressor. We construct the asymptotic properties of the established estimator and derive...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/8874880 |
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| _version_ | 1850220883110526976 |
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| author | Fatimah Alshahrani Ibrahim M. Almanjahie Tawfik Benchikh Omar Fetitah Mohammed Kadi Attouch |
| author_facet | Fatimah Alshahrani Ibrahim M. Almanjahie Tawfik Benchikh Omar Fetitah Mohammed Kadi Attouch |
| author_sort | Fatimah Alshahrani |
| collection | DOAJ |
| description | This study investigates the estimation of the regression function using the kernel method in the presence of missing at random responses, assuming spatial dependence, and complete observation of the functional regressor. We construct the asymptotic properties of the established estimator and derive the probability convergence (with rates) as well as the asymptotic normality of the estimator under certain weak conditions. Simulation studies are then presented to examine and show the performance of our proposed estimator. This is followed by examining a real data set to illustrate the suggested estimator’s efficacy and demonstrate its superiority. The results show that the proposed estimator outperforms existing estimators as the number of missing at random data increases. |
| format | Article |
| id | doaj-art-7be291691c29444c8a90f977718658b0 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7be291691c29444c8a90f977718658b02025-08-20T02:06:53ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/8874880Asymptotic Normality of Nonparametric Kernel Regression Estimation for Missing at Random Functional Spatial DataFatimah Alshahrani0Ibrahim M. Almanjahie1Tawfik Benchikh2Omar Fetitah3Mohammed Kadi Attouch4Department of Mathematical SciencesDepartment of MathematicsStatistical and Stochastic Process LaboratoryStatistical and Stochastic Process LaboratoryStatistical and Stochastic Process LaboratoryThis study investigates the estimation of the regression function using the kernel method in the presence of missing at random responses, assuming spatial dependence, and complete observation of the functional regressor. We construct the asymptotic properties of the established estimator and derive the probability convergence (with rates) as well as the asymptotic normality of the estimator under certain weak conditions. Simulation studies are then presented to examine and show the performance of our proposed estimator. This is followed by examining a real data set to illustrate the suggested estimator’s efficacy and demonstrate its superiority. The results show that the proposed estimator outperforms existing estimators as the number of missing at random data increases.http://dx.doi.org/10.1155/2023/8874880 |
| spellingShingle | Fatimah Alshahrani Ibrahim M. Almanjahie Tawfik Benchikh Omar Fetitah Mohammed Kadi Attouch Asymptotic Normality of Nonparametric Kernel Regression Estimation for Missing at Random Functional Spatial Data Journal of Mathematics |
| title | Asymptotic Normality of Nonparametric Kernel Regression Estimation for Missing at Random Functional Spatial Data |
| title_full | Asymptotic Normality of Nonparametric Kernel Regression Estimation for Missing at Random Functional Spatial Data |
| title_fullStr | Asymptotic Normality of Nonparametric Kernel Regression Estimation for Missing at Random Functional Spatial Data |
| title_full_unstemmed | Asymptotic Normality of Nonparametric Kernel Regression Estimation for Missing at Random Functional Spatial Data |
| title_short | Asymptotic Normality of Nonparametric Kernel Regression Estimation for Missing at Random Functional Spatial Data |
| title_sort | asymptotic normality of nonparametric kernel regression estimation for missing at random functional spatial data |
| url | http://dx.doi.org/10.1155/2023/8874880 |
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