Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1152387 | Statistics & Probability Letters | 2012 | 10 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Mohammad Abbaszadeh, Christophe Chesneau, Hassan Doosti,