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15 papers · 1 filter
Estimation via length-constrained generalized empirical principal curves under small noise
Sylvain Delattre, Aurélie Fischer
In this paper, we propose a method to build a sequence of generalized empirical principal curves, with selected length, so that, in Hausdor distance, the images of the estimating p…
Integral operator Riccati equations arising in stochastic Volterra control problems
Eduardo Abi Jaber, Enzo Miller, Huyen Pham
We establish existence and uniqueness for infinite dimensional Riccati equations taking values in the Banach space L 1 ( ) for certain signed matrix measures wh…
On agnostic post hoc approaches to false positive control
Gilles Blanchard, Pierre Neuvial, Etienne Roquain
This document is a book chapter which gives a partial survey on post hoc approaches to false positive control.
Well-posedness of some non-linear stable driven SDEs
Noufel Frikha, Valentin Konakov, Stéphane Menozzi
We prove the well-posedness of some non-linear stochastic differential equations in the sense of McKean-Vlasov driven by non-degenerate symmetric -stable Lévy processes with val…
A coupling approach for the convergence to equilibrium for a collisionless gas
Armand Bernou, Nicolas Fournier
We use a probabilistic approach to study the rate of convergence to equilibrium for a collisionless (Knudsen) gas in dimension equal to or larger than 2. The use of a coupling betw…
On choking and ingestion hazards for children in the United States
Frédéric Chabolle, Paul Deheuvels
The risks of Unintentional Suffocation injuries in the U.S. must be reconsidered in view of the existent mortality and morbidity statistics. In particular, fatal injuries due to th…