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Nonparametric goodness-of-fit testing in quantum homodyne tomography with noisy data
Density matrix Goodness-of fit test Minimax rates Nonparametric test Pattern Functions estimation Quantum homodyne tomography
2009/9/16
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 in...
On the Goodness-of-Fit Testing for Ergodic Diffusion Processes
Cramer-von Mises type tests diffusion process goodness of fit hypotheses testing ergodic diffusion
2010/3/19
We consider the goodness of fit testing problem for ergodic diffusion
processes. The basic hypothesis is supposed to be simple. The
diffusion coefficient is known and the alternatives are described ...
Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data
Density matrix Goodness-of fit test Minimaxrates Nonparametric test Pattern Functions estimation Quantum homodynetomography
2010/4/30
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 ...