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9 papers · 1 filter
Remark on the finite-dimensional character of certain results of functional statistics
Jean-Marc Azais, Jean-Claude Fort
This note shows that some assumption on small balls probability, frequently used in the domain of functional statistics, implies that the considered functional space is of finite d…
Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration
Emeric Bouin, Vincent Calvez, Nicolas Meunier +4
Invasion fronts in ecology are well studied but very few mathematical results concern the case with variable motility (possibly due to mutations). Based on an apparently simple rea…
Laplace deconvolution and its application to Dynamic Contrast Enhanced imaging
Fabienne Comte, Charles-André Cuénod, Marianna Pensky +1
In the present paper we consider the problem of Laplace deconvolution with noisy discrete observations. The study is motivated by Dynamic Contrast Enhanced imaging using a bolus of…
Fine Gaussian fluctuations on the Poisson space II: rescaled kernels, marked processes and geometric U-statistics
Raphael Lachieze-Rey, Giovanni Peccati
Continuing the analysis initiated in Lachiéze-Rey and Peccati (2011), we use contraction operators to study the normal approximation of random variables having the form of a U-stat…
Rates of convergence in the strong invariance principle for non adapted sequences. Application to ergodic automorphisms of the torus
J. Dedecker, F. Merlevède, F. Pène
In this paper, we give rates of convergence in the strong invariance principle for non-adapted sequences satisfying projective criteria. The results apply to the iterates of ergodi…
Adaptive pointwise estimation for pure jump Lévy processes
Mélina Bec, Claire Lacour
This paper is concerned with adaptive kernel estimation of the Lévy density N(x) for bounded-variation pure-jump Lévy processes. The sample path is observed at n discrete instants…