4 papers
Asymptotic normality of high level-large time crossings of a Gaussian process
Federico Dalmao, José Rafael León, Ernesto Mordecki +1
We prove the asymptotic normality of the standardized number of crossings of a centered stationary mixing Gaussian process when both the level and the time horizon go to infinity i…
Testing Gaussian Process with Applications to Super-Resolution
Jean-Marc Azaïs, Yohann De Castro, Stéphane Mourareau
This article introduces exact testing procedures on the mean of a Gaussian process derived from the outcomes of -minimization over the space of complex valued measures.…
Power of the Spacing test for Least-Angle Regression
Jean-Marc Azaïs, Yohann de Castro, Stéphane Mourareau
Recent advances in Post-Selection Inference have shown that conditional testing is relevant and tractable in high-dimensions. In the Gaussian linear model, further works have deriv…
A Rice method proof of the Null-Space Property over the Grassmannian
J. -M Azaïs, Y. De Castro, S. Mourareau
The Null-Space Property (NSP) is a necessary and sufficient condition for the recovery of the largest coefficients of solutions to an under-determined system of linear equations. I…