Nonparametric estimation of density under bias and multiplicative censoring via wavelet methods

Mohammad Abbaszadeh, Christophe Chesneau and Hassan Doosti

Statistics & Probability Letters, 2012, vol. 82, issue 5, 932-941

Abstract: The density estimation problem under bias and multiplicative censoring is considered. Adopting the wavelet approach, we construct a linear nonadaptive estimator and a nonlinear adaptive estimator. The adaptive one belongs to the family of the hard thresholding estimators. We evaluate their performances by determining upper bounds of the mean integrated squared error over a wide range of functions. Sharp upper bounds are obtained.

Keywords: Density estimation; Multiplicative censoring; Weighted density; Wavelets; Hard thresholding (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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DOI: 10.1016/j.spl.2012.01.016

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