利用小波方法研究一类带加法噪声密度函数卷积问题,构造密度函数卷积的小波估计器,并给出其在Besov球Bsr,q(L,M)的Lp平均收敛阶.当r≥p=2时,本研究的主要定理可以退回至Chesneau和Navarro(2014)的结论.%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 Bsr,q ( L,M) were provided. When r≥p=2, our result coincides with Chesneau &Navarro's (2014) theorem.
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