Wavelet Estimation for Convolution of Densities with Additive Noises [一类带加法噪声密度卷积的小波估计] - 文章详情页

作者：

Zeng, X. (Zeng, X..) | Tian, X. (Tian, X..) | Wang, J. (Wang, J..)

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摘要：

The　estimation　for　convolution　of　densities　with　additive　noises　by　wavelets　was　discussed　in　this　parer.　Wavelet　estimator　of　the　convolution　of　densities　was　constructed　and　the　upper　bounds　over　Lp　risk　on　Besov　balls　Br,　q　s(L,　M)　were　provided.　When　r≥p=2,　our　result　coincides　with　Chesneau　&　Navarro＇s　(2014)　theorem.　©　2018,　Editorial　Department　of　Journal　of　Beijing　University　of　Technology.　All　right　reserved.

关键词：

Additive noises; Besov spaces; Convolution of densities; Lp risk; Wavelets

作者机构：

[ 1 ] [Zeng, X.]College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China
[ 2 ] [Tian, X.]College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China
[ 3 ] [Wang, J.]College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China

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