A note on minimax rates of convergence in the Spektor-Lord-Willis problem

In this note, attainable lower bounds are constructed for the convergence rates in a stereological problem of unfolding spheres size distribution from linear sections, which shows that a spectral type estimator is strictly rate minimax over some Sobolev-type classes of functions.

Bibliographic Details
Main Author: Zbigniew Szkutnik
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2010-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol30/2/art/opuscula_math_3014.pdf