Minimax nonparametric testing in a problem related to the Radon transform

Details Minimax nonparametric testing in a problem related to the Radon transform Minimax nonparametric testing in a problem related to the Radon transform

2011-03-17

arxiv.org/abs/1103.3442v3

Mathematical Methods of Statistics, Vol. 20, 347-364 (2011)

Mathematics

Statistics Theory

21 pages: Final version, to appear in "Mathematical Methods of Statistics"

Scientific paper

We consider the detection problem of a two-dimensional function from noisy
observations of its integrals over lines. We study both rate and sharp
asymptotics for the error probabilities in the minimax setup. By construction,
the derived tests are non-adaptive. We also construct a minimax rate-optimal
adaptive test of rather simple structure.

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