文章基本信息

标题：A Note on Wavelet Estimation of the Derivatives of a Regression Function in a Random Design Setting
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作者：Christophe Chesneau
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2014
卷号：2014
DOI：10.1155/2014/195765
出版社：Hindawi Publishing Corporation
摘要：We investigate the estimation of the derivatives of a regression function in the nonparametric regression model with random design. New wavelet estimators are developed. Their performances are evaluated via the mean integrated squared error. Fast rates of convergence are obtained for a wide class of unknown functions.