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Wavelet shrinkage in estimation of regression function with error in variables | ||
International Journal of Nonlinear Analysis and Applications | ||
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 07 اسفند 1403 اصل مقاله (512.78 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.34558.5164 | ||
نویسندگان | ||
Ghodratollah Rahmati* 1؛ Esmaeil Shirazi2؛ Masoud Yarmohammadi1؛ Parviz Nasiri3 | ||
1Department of Statistics, Faculty of Science, Payame Noor University, Tehran, Iran | ||
2Department of Statistics, Faculty of Science, Gonbad Kavous University, Gonbad Kavous, Iran | ||
3Department of Statistics, Faculty of Science, Payame Noor University, Tehran, Iran | ||
تاریخ دریافت: 04 تیر 1403، تاریخ پذیرش: 28 شهریور 1403 | ||
چکیده | ||
The purpose of this study was to estimate the unknown regression function $h$ in a regression model having errors-in-variables: $(Y,X)$, where $Y=h(U)+E$ and $X=U+T$. We propose a new adaptive estimator through the wavelet shrinkage method to estimate $h$. In particular, the block thresholding method has been investigated by considering some simple assumptions on $E$. Finally, using a simulation study, we have compared the proposed estimator with other threshold estimators. | ||
کلیدواژهها | ||
Block Thresholding Method؛ Error in Variable؛ Nonparametric Regression؛ Shrinkage Method؛ Wavelets | ||
مراجع | ||
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