Electronic Journal of Statistics
- Electron. J. Statist.
- Volume 2 (2008), 1195-1223.
Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data
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.
Electron. J. Statist., Volume 2 (2008), 1195-1223.
First available in Project Euclid: 16 December 2008
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Meziani, Katia. Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data. Electron. J. Statist. 2 (2008), 1195--1223. doi:10.1214/08-EJS286. https://projecteuclid.org/euclid.ejs/1229450667