TY  - JOUR
ID  - Szkutnik2010
LB  - Szkutnik2010
AU  - Szkutnik, Zbigniew
TI  - A note on minimax rates of convergence in the Spektor-Lord-Willis problem
ST  - A note on minimax rates of convergence in the Spektor-Lord-Willis problem
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2010
VL  - 30
IS  - 2
SP  - 203
EP  - 207
DO  - http://dx.doi.org/10.7494/OpMath.2010.30.2.203
UR  - http://dx.doi.org/10.7494/OpMath.2010.30.2.203
AB  - 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.
KW  - Poisson inverse problem
KW  - rate minimaxity
KW  - singular value decomposition
KW  - stereology
SN  - 1232-9274
ER  -