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WANG Jin-ru, WANG Meng. Linear Wavelet Density Estimation for Biased Data[J]. Journal of Beijing University of Technology, 2013, 39(11): 1752-1755.
Citation: WANG Jin-ru, WANG Meng. Linear Wavelet Density Estimation for Biased Data[J]. Journal of Beijing University of Technology, 2013, 39(11): 1752-1755.
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Linear Wavelet Density Estimation for Biased Data

  • College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

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  • Received Date: October 07, 2012
  • Available Online: November 02, 2022
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    • 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.
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    • References (8)
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