Density Estimation in the Presence of Noise Based on Riesz Basis
Chunsheng Zhao · Dianzi xuebao · 2004
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.