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Author:

Wang, J.-R. (Wang, J.-R..) | Wang, M. (Wang, M..) (Scholars:王民)

Indexed by:

Scopus PKU CSCD

Abstract:

To obtain Lp risk convergence rate, for a kind of density which has noise data, the linear wavelet estimator is constructed. In particular, when r≥p, the linear wavelets estimator is simple and the convergence rate is better than nonlinear estimator. In addition, when the bias function g(x)≡1, the model is the case which has no noise, and the convergence rate is optimal and generalizes the result which was gotten.

Keyword:

Besov space; Convergence rate; Density function; Wavelet

Author Community:

  • [ 1 ] [Wang, J.-R.]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Wang, M.]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

Reprint Author's Address:

  • [Wang, J.-R.]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

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Source :

Journal of Beijing University of Technology

ISSN: 0254-0037

Year: 2013

Issue: 11

Volume: 39

Page: 1752-1755

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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