WAVELET BLOCK THRESHOLDING FOR DENSITY ESTIMATION IN THE PRESENCE OF BIAS - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2007

WAVELET BLOCK THRESHOLDING FOR DENSITY ESTIMATION IN THE PRESENCE OF BIAS

Abstract

We consider the density estimation problem from i.i.d. biased observations. We investigate the performances of an adaptive wavelet block thresholding estimator via the minimax approach under the Lp risk with p>=1 over Besov balls. We prove that it achieves near optimal rates of convergence.
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Dates and versions

hal-00169874 , version 1 (05-09-2007)
hal-00169874 , version 2 (11-09-2007)

Identifiers

  • HAL Id : hal-00169874 , version 1

Cite

Christophe Chesneau. WAVELET BLOCK THRESHOLDING FOR DENSITY ESTIMATION IN THE PRESENCE OF BIAS. 2007. ⟨hal-00169874v1⟩
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