【摘要】 本文研究了含噪声密度估计问题 ,在Besov空间上 ,构造了基于Riesz基的线性小波估计 ,并利用此结果给出了含噪声截断线性小波估计 ,该结果改善了现有的估计 ,减少了运算量 .更多还原

【Abstract】 The problem of estimating a density in the presence of noise is considered.Linear wavelet estimators based on Riesz basis are constructed if function belongs to Besov space.Then we use this result,density estimation in the presence of noise by truncated wavelet expansion is studied.The proposed wavelet estimator is an improvement on previous estimators.The density estimation has low computational cost.更多还原