3 papers
math.ST2019
Testing goodness of fit for point processes via topological data analysis
Christophe Ange Napoléon Biscio, Nicolas Chenavier, Christian Hirsch +1
We introduce tests for the goodness of fit of point patterns via methods from topological data analysis. More precisely, the persistent Betti numbers give rise to a bivariate funct…
math.PR2017
On the discrepancy of powers of random variables
Nicolas Chenavier, Dominique Schneider
Let be a sequence of positive numbers and let be a sequence of positive independent random variables. We provide an upper bound for the deviation between the distri…
math.PR2013
Extreme values for characteristic radii of a Poisson-Voronoi tessellation
Pierre Calka, Nicolas Chenavier
A homogeneous Poisson-Voronoi tessellation of intensity is observed in a convex body . We associate to each cell of the tessellation two characteristic radii: the inradius,…