Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data
| dc.creator | Meziani, Katia | |
| dc.date | 2008-08-23 | |
| dc.date | 2008-12-22 | |
| dc.date.accessioned | 2026-07-07T12:20:46Z | |
| dc.date.available | 2026-07-07T12:20:46Z | |
| dc.description | 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 $\mathbb{L}_2$ distance on some suitably chosen pattern functions. The proposed methodology is illustrated with simulated data sets. | |
| dc.description | 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) | |
| dc.identifier | https://arxiv.org/abs/0808.3194 | |
| dc.identifier | http://arxiv.org/abs/0808.3194 | |
| dc.identifier | Electronic Journal of Statistics 2008, Vol. 2, 1195-1223 | |
| dc.identifier | doi:10.1214/08-EJS286 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213160 | |
| dc.subject | Statistics Theory | |
| dc.subject | 62G05, 62G10, 62G20 (Primary) 81V80 (Secondary) | |
| dc.title | Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data | |
| dc.type | text |