62 citations · 68 across the 16 of their papers we have counts for
8 papers · 1 filter
A functional central limit theorem for the K-function with an estimated intensity function
Anne Marie Svane, Christophe Biscio, Rasmus Waagepetersen
The -function is arguably the most important functional summary statistic for spatial point processes. It is used extensively for goodness-of-fit testing and in connection with…
A functional central limit theorem for the empirical Ripley's K-function
Christophe A. N. Biscio, Anne Marie Svane
We establish a functional central limit theorem for Ripley's K-function for two classes of point processes. One is the class of point processes having exponential decay of correlat…
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…
The accumulated persistence function, a new useful functional summary statistic for topological data analysis, with a view to brain artery trees and spatial point process applications
Christophe Biscio, Jesper Møller
We start with a simple introduction to topological data analysis where the most popular tool is called a persistent diagram. Briefly, a persistent diagram is a multiset of points i…
Standard and robust intensity parameter estimation for stationary determinantal point processes
Jean-François Coeurjolly, Christophe Ange Napoléon Biscio
This work is concerned with the estimation of the intensity parameter of a stationary determinantal point process. We consider the standard estimator, corresponding to the number o…
Contrast estimation for parametric stationary determinantal point processes
Christophe Biscio, Frédéric Lavancier
We study minimum contrast estimation for parametric stationary determi-nantal point processes. These processes form a useful class of models for repulsive (or regular, or inhibitiv…
Brillinger mixing of determinantal point processes and statistical applications
Christophe Ange Napoléon Biscio, Frédéric Lavancier
Stationary determinantal point processes are proved to be Brillinger mixing. This property is an important step towards asymptotic statistics for these processes. As an important e…
Quantifying repulsiveness of determinantal point processes
Christophe Ange Napoléon Biscio, Frédéric Lavancier
Determinantal point processes (DPPs) have recently proved to be a useful class of models in several areas of statistics, including spatial statistics, statistical learning and tele…