Academic Journal
Asymptotic Normality of Nonparametric Kernel Regression Estimation for Missing at Random Functional Spatial Data
| Τίτλος: | Asymptotic Normality of Nonparametric Kernel Regression Estimation for Missing at Random Functional Spatial Data |
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| Συγγραφείς: | Fatimah Alshahrani, Ibrahim M. Almanjahie, Tawfik Benchikh, Omar Fetitah, Mohammed Kadi Attouch |
| Πηγή: | Journal of Mathematics, Vol 2023 (2023) |
| Στοιχεία εκδότη: | Wiley, 2023. |
| Έτος έκδοσης: | 2023 |
| Θεματικοί όροι: | Statistics and Probability, Economics and Econometrics, Regression function, Missing data, Social Sciences, Kernel regression, Regularization and Variable Selection Methods, 01 natural sciences, Estimator, Spatial Econometrics and Spatial Data Analysis, Methods for Handling Missing Data in Statistical Analysis, 0502 economics and business, QA1-939, FOS: Mathematics, Panel Data Models, 0101 mathematics, Kernel density estimation, Nonparametric statistics, Asymptotic distribution, 05 social sciences, Statistics, Nonparametric regression, Applied mathematics, Economics, Econometrics and Finance, Sensitivity Analysis, Combinatorics, Physical Sciences, Kernel (algebra), Mathematics |
| Περιγραφή: | 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. |
| Τύπος εγγράφου: | Article Other literature type |
| Περιγραφή αρχείου: | text/xhtml |
| Γλώσσα: | English |
| ISSN: | 2314-4785 2314-4629 |
| DOI: | 10.1155/2023/8874880 |
| DOI: | 10.60692/gcehr-39908 |
| DOI: | 10.60692/cv0kn-cqj33 |
| Σύνδεσμος πρόσβασης: | https://doaj.org/article/7be291691c29444c8a90f977718658b0 |
| Rights: | CC BY |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....a9406c12d5512390511b82492d3ecda8 |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 23144785 23144629 |
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| DOI: | 10.1155/2023/8874880 |