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Article Dans Une Revue Electronic Journal of Statistics Année : 2009

Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data

Katia Meziani

Résumé

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.
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Dates et versions

hal-00311975 , version 1 (23-08-2008)

Identifiants

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Katia Meziani. Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data. Electronic Journal of Statistics , 2009, 2, pp.1195-1223. ⟨10.1214/08-EJS286⟩. ⟨hal-00311975⟩
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