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文章基本信息

  • 标题:Wavelet block thresholding for samples with random design: A minimax approach under the Lp risk
  • 作者:Christophe Chesneau
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2007
  • 卷号:1
  • 页码:331-346
  • 出版社:Institute of Mathematical Statistics
  • 摘要:We consider the regression model with (known) random design. We investigate the minimax performances of an adaptive wavelet block thresholding estimator under the Lp risk with p >2 over Besov balls. We prove that it is near optimal and that it achieves better rates of convergence than the conventional term-by-term estimators (hard, soft,...).
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