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On the pointwise mean squared error of a multidimensional term-by-term thresholding wavelet estimator
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- معلومة اضافية
- Contributors:
Laboratoire de Mathématiques Nicolas Oresme (LMNO); Université de Caen Normandie (UNICAEN); Normandie Université (NU)-Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS); Centre de Recherche en Economie et Statistique Bruz (CREST); Ecole Nationale de la Statistique et de l'Analyse de l'Information Bruz (ENSAI)
- بيانات النشر:
HAL CCSD
Taylor & Francis
- الموضوع:
2017
- Collection:
GENES (Groupe des Écoles Nationales d'Économie et Statistique): HAL
- نبذة مختصرة :
International audience ; In this paper we provide a theoretical contribution to the point-wise mean squared error of an adaptive multidimensional term-by-term thresholding wavelet estimator. A general result exhibiting fast rates of convergence under mild assumptions on the model is proved. It can be applied for a wide range of nonparametric models including possible dependent observations. We give applications of this result for the nonpara-metric regression function estimation problem (with random design) and the conditional density estimation problem.
- Relation:
hal-01188362; https://hal.science/hal-01188362; https://hal.science/hal-01188362v3/document; https://hal.science/hal-01188362v3/file/mult-point-2.pdf
- الرقم المعرف:
10.1080/03610926.2015.1107587
- Rights:
info:eu-repo/semantics/OpenAccess
- الرقم المعرف:
edsbas.37A63CC9
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