Citation: | WANG Jin-ru, ZHANG Qing-qing. Wavelet Estimation of the Density Functions Under Fourier-oscillating Situation[J]. Journal of Beijing University of Technology, 2016, 42(10): 1597-1600. DOI: 10.11936/bjutxb2016040010 |
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
[1] |
LIR,LIUY.Wavelet optimal estimations for a density with some additive noises[J].Applied and Computational Harmonic Analysis,2014,36(3):416-433.
|
[2] |
LIR,LIU Y. Wavelet optimal estimations for density functions under severely ill-posed noises[J/OL]. Abstract andAppliedAnalysis,2013,2013: 1-7[2016-03-06].http:∥dx.doi.org/10.1155/2013/260573.
|
[3] |
GENGZ,WANGJ.The mean consistency of wavelet density estimators[J].Journal of Inequalities and Applications,2015,111:1-14.
|
[4] |
DELAIGLEA,MEISTERA.Nonparametric function estimation under Fourier‐oscillating noise[J].Statistica Sinica,2011,21(3):1065-1092.
|
[5] |
GUOH,LIUY.Wavelet estimations for densities and their derivatives with Fourier oscillating noises[J]. Journal of Inequalities and Applications,2014(236):15.
|
[6] |
PENSKYM,VIDAKOVICB.Adaptive wavelet estimator for nonparametric density deconvolution[J].The Annals of Statistics,1999,27:2033-2053.
|
[7] |
DAUBECHIESI.Ten lecture on wavelets[M].Philadelphia: SIAM,1992:115-118.
|
[8] |
HARDLEW,KERKYACHARIANG,PICARDD,et al.Wavelets, approximation and statistical applications[M].New York: Springer-Verlag,1998:80-117.
|
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