References
- Carroll RJ, Hall P. Optimal rates of convergence for deconvolving a density. J Amer Statist Assoc. 1988;83(404):1184–1186. doi: 10.1080/01621459.1988.10478718
- Stefanski L, Carroll RJ. Deconvolving kernel density estimators. Statistics. 1990;21(2):169–184. doi: 10.1080/02331889008802238
- Fan J. On the optimal rates of convergence for nonparametric deconvolution problems. Ann Statist. 1991;19(3):1257–1272. doi: 10.1214/aos/1176348248
- Walter GG. Density estimation in the presence of noise. Statist Probab Lett. 1999;41(3):237–246. doi: 10.1016/S0167-7152(98)00160-6
- Pensky M. Density deconvolution based on wavelets with bounded supports. Statist Probab Lett. 2002;56(3):261–269. doi: 10.1016/S0167-7152(01)00176-6
- Comte F, Lacour C. Anisotropic adaptive kernel deconvolution. Ann Inst H Poincaré Probab Statist. 2013;49(2):569–609. doi: 10.1214/11-AIHP470
- Li R, Liu YM. Wavelet optimal estimations for a density with some additive noises. Appl Comput Harmon Anal. 2014;36(3):416–433. doi: 10.1016/j.acha.2013.07.002
- Pensky M, Vidakovic B. Adaptive wavelet estimator for nonparametric density deconvolution. Ann Statist. 1999;27(6):2033–2053. doi: 10.1214/aos/1017939249
- Fan. J, Koo J-Y. Wavelet deconvolution. IEEE Trans Inform Theory. 2002;48(3):734–747. doi: 10.1109/18.986021
- Lounici K, Nickl R. Global uniform risk bounds for wavelet deconvolution estimators. Ann Statist. 2011;39(1):201–231. doi: 10.1214/10-AOS836
- Lepski O, Willer T. Lower bounds in the convolution structure density model. Bernoulli. 2017;23(2):884–926. doi: 10.3150/15-BEJ763
- Lepski O, Willer T. Oracle inequalities and adaptive estimation in the convolution structure density model. Ann Statist. 2019;47(1):233–287. doi: 10.1214/18-AOS1687
- Tsybakov AB. Introduction to nonparametric estimation. New York (NY): Springer; 2009.
- Härdle W, Kerkyacharian G, Picard D, et al. Wavelets, approximation and statistical applications. New York (NY): Springer-Verlag; 1998.
- Walnut DF. An introduction to wavelet analysis. Boston (MA): Birkhaäuser; 2004.
- Liu YM, Wu C. Point-wise estimation for anisotropic densities. J Multivariate Anal. 2019;171:112–125. doi: 10.1016/j.jmva.2018.11.014