带零点噪声密度函数的小波估计  

Wavelet Estimation of the Density Functions Under Fourier-oscillating Situation

作　　者：王晋茹[1] 张庆庆[1] WANG Jin-ru;ZHANG Qing-qing(College of Applied Sciences,Beijing University of Technology,Beijing 100124,China)

机构地区：[1]北京工业大学应用数理学院,北京100124

出　　处：《北京工业大学学报》2016年第10期1597-1600,共4页Journal of Beijing University of Technology

基　　金：国家自然科学基金面上资助项目(11271038);国家留学基金委资助项目(201308110227)

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.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 Bsrq ( L) was provided. Result shows that the estimator is adaptive and extends the theorems of paper [ 4 ,6 ].

关 键 词：BESOV空间 小波估计器 自适应 收敛率 

分 类 号：O174.2[理学—数学]