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Block thresholding in wavelet estimation of the regression function with errors in variables | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 27، دوره 14، شماره 9، آذر 2023، صفحه 367-377 اصل مقاله (403.72 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28249.3821 | ||
| نویسنده | ||
| Esmaeil Shirazi* | ||
| Department of Statistics, Faculty of Science, Gonbad Kavous University, Gonbad Kavous 4971799151, Iran | ||
| تاریخ دریافت: 25 اسفند 1400، تاریخ بازنگری: 14 تیر 1401، تاریخ پذیرش: 19 شهریور 1401 | ||
| چکیده | ||
| Errors-in-variables regression is the study of the association between covariates and responses where covariates are observed with errors. In this paper, we consider the estimation of regression functions when the independent variable is measured with error. We investigate the performances of an adaptive wavelet block thresholding estimator via the minimax approach under the $L_p$ risk with $p \geq 1$ over Besov balls. We prove that it achieves the optimal rates of convergence. | ||
| کلیدواژه‌ها | ||
| Adaptive estimation؛ Block Theresholding Method؛ Errors-in-variables؛ Minimax estimation؛ Nonparametric regression؛ Wavelets | ||
| مراجع | ||
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