@Article{Szkutnik2010,
author = "Szkutnik, Zbigniew",
title = "A note on minimax rates of convergence in the Spektor-Lord-Willis problem",
journal = "Opuscula Math.",
year = "2010",
volume = "30",
number = "2",
pages = "203--207",
doi = "http://dx.doi.org/10.7494/OpMath.2010.30.2.203",
url = "http://dx.doi.org/10.7494/OpMath.2010.30.2.203",
abstract = "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.",
keywords = "Poisson inverse problem, rate minimaxity, singular value decomposition, stereology",
issn = "1232-9274"
}