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- Université Toulouse III - Paul SabatierFR936 papers
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7 papers · 2 filters
Bayesian posterior consistency in the functional randomly shifted curves model
Dominique Bontemps, Sébastien Gadat
In this paper, we consider the so-called Shape Invariant Model which stands for the estimation of a function submitted to a random translation of law in a white noise m…
Characterization of barycenters in the Wasserstein space by averaging optimal transport maps
Jérémie Bigot, Thierry Klein
This paper is concerned by the study of barycenters for random probability measures in the Wasserstein space. Using a duality argument, we give a precise characterization of the po…
Density modification based reliability sensitivity analysis
Paul Lemaître, Ekatarina Sergienko, Aurélie Arnaud +3
Sensitivity analysis of a numerical model, for instance simulating physical phenomena, is useful to quantify the influence of the inputs on the model responses. This paper proposes…
Minimax properties of Fréchet means of discretely sampled curves
Jérémie Bigot, Xavier Gendre
We study the problem of estimating a mean pattern from a set of similar curves in the setting where the variability in the data is due to random geometric deformations and additive…
The two-sample problem for Poisson processes: adaptive tests with a non-asymptotic wild bootstrap approach
Magalie Fromont, Béatrice Laurent, Patricia Reynaud-Bouret
Considering two independent Poisson processes, we address the question of testing equality of their respective intensities. We first propose single tests whose test statistics are…
Bayesian interpretation of Generalized empirical likelihood by maximum entropy
Paul Rochet
We study a parametric estimation problem related to moment condition models. As an alternative to the generalized empirical likelihood (GEL) and the generalized method of moments (…