7 papers
Statistically Robust Resource Block Allocation for Satellite Communications
Chaitanya Manapragada, Laurent Decreusefond, Philippe Martins
It is critical to dimension (accurately estimate capacity of) a satellite system prior to deployment, as it is very expensive to reconfigure launched satellite systems that fail to…
Optimal transport, determinantal point processes and the Bergman kernel
William Driot, Laurent Decreusefond
We study the Bergman determinantal point process from a theoretical point of view motivated by its simulation. We construct restricted and restricted-truncated variants of the Berg…
Rate of convergence of the conditioned random walk towards the Brownian bridge
Laurent Decreusefond, Antonin Jacquet
We study the rate of convergence of two discrete processes towards the Brownian bridge: the random walk conditioned to be zero at time 2n and the empirical process which appears in…
Quantitative Limit Theorems for Cox-Poisson and Cox-Binomial Point Processes
Hamza Adrat, Laurent Decreusefond
This paper establishes quantitative limit theorems for two classes of Cox point processes, quantifying their convergence to a Poisson point process (PPP). We employ Stein's method…
Functional analysis of multivariate max-stable distributions
Bruno Costacèque-Cecchi, Laurent Decreusefond
We study the connections existing between max-infinitely divisible distributions and Poisson processes from the point of view of functional analysis. More precisely, we derive func…
Stein's method for max-stable random vectors
Bruno Costacèque, Laurent Decreusefond
Motivated by the omnipresence of extreme value distributions in limit theorems involving extremes of random processes, we adapt Stein's method to include these laws as possible tar…