Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1147027 | Journal of Multivariate Analysis | 2010 | 13 Pages |
Abstract
The stereological problem of unfolding the sphere size distribution from linear sections is considered. A minimax estimator of the intensity function of a Poisson process that describes the problem is introduced and an adaptive estimator is constructed that achieves the optimal rate of convergence over Besov balls to within logarithmic factors. The construction of these estimators uses Wavelet–Vaguelette Decomposition (WVD) of the operator that defines our inverse problem.
Related Topics
Physical Sciences and Engineering
Mathematics
Numerical Analysis
Authors
Bogdan Ćmiel,