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Abstract:
This paper considers pointwise deconvolution estimation of density functions under the local Hölder condition by wavelet method. We firstly give a lower bound of any estimator with super-smooth noises. Then the practical linear wavelet estimator is constructed to obtain the optimal convergence rate, which means that the rate coincides with the lower bound. The strong convergence rate of the defined wavelet estimator is also provided. It should be pointed out that all above estimations are adaptive. © 2019, Chinese Academy of Sciences. All right reserved.
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Acta Mathematica Sinica, Chinese Series
ISSN: 0583-1431
Year: 2019
Issue: 5
Volume: 62
Page: 687-702
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WoS CC Cited Count: 0
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 6
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