Minimax nonparametric testing in a problem related to the Radon transform
Statistics Theory
2012-01-26 v3 Statistics Theory
Abstract
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.
Cite
@article{arxiv.1103.3442,
title = {Minimax nonparametric testing in a problem related to the Radon transform},
author = {Yuri I. Ingster and Theofanis Sapatinas and Irina A. Suslina},
journal= {arXiv preprint arXiv:1103.3442},
year = {2012}
}
Comments
21 pages: Final version, to appear in "Mathematical Methods of Statistics"