Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data
Statistics Theory
2008-12-22 v2 Statistics Theory
Abstract
In the framework of quantum optics, we study the problem of goodness-of-fit testing in a severely ill-posed inverse problem. A novel testing procedure is introduced and its rates of convergence are investigated under various smoothness assumptions. The procedure is derived from a projection-type estimator, where the projection is done in distance on some suitably chosen pattern functions. The proposed methodology is illustrated with simulated data sets.
Keywords
Cite
@article{arxiv.0808.3194,
title = {Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data},
author = {Katia Meziani},
journal= {arXiv preprint arXiv:0808.3194},
year = {2008}
}
Comments
Published in at http://dx.doi.org/10.1214/08-EJS286 the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org)