带零点噪声密度函数的小波估计

Wavelet Estimation of the Density Functions Under Fourier-oscillating Situation

摘要: 利用小波方法研究含零点噪声的密度去卷积问题,构造了密度函数的小波估计器,并给出其在Besov空间中的上界估计. 结果表明:本文的估计器是自适应的,且推广了文献4,6的结论.

Abstract: In this paper, a wavelet method was used to deal with the density deconvolution problems under Fourier-oscillating situation. Wavelet estimators of the density function were constructed and upper bound over Besov space $\begin{matrix} B_{rq}^{s} \end{matrix}$ ( L) was provided. Result shows that the estimator is adaptive and extends the theorems of paper 4,6.