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.
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Format: | Article |
Language: | English |
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AGH Univeristy of Science and Technology Press
2010-01-01
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Series: | Opuscula Mathematica |
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Online Access: | http://www.opuscula.agh.edu.pl/vol30/2/art/opuscula_math_3014.pdf |