8 citations · 11 across the 3 of their papers we have counts for
4 papers
Computing the density of the Kesten-Stigum limit in supercritical Galton-Watson processes
Alice Cortinovis, Sophie Hautphenne, Stefano Massei
This paper proposes a novel numerical method for computing the density of the limit random variable associated with a supercritical Galton-Watson process. This random variable capt…
Consistent estimation in subcritical birth-and-death processes
Sophie Hautphenne, Emma Horton
We investigate parameter estimation in subcritical continuous-time birth-and-death processes with multiple births. We show that the classical maximum likelihood estimators for the…
A hybrid framework for compartmental models enabling simulation-based inference
Domenic P. J. Germano, Alexander E. Zarebski, Sophie Hautphenne +3
Multi-scale systems often exhibit a combination of stochastic and deterministic dynamics. In compartmental models, low occupancy compartments tend to exhibit stochastic dynamics wh…
Parameter estimation for discretely-observed linear birth-and-death processes
Anthony C. Davison, Sophie Hautphenne, Andrea Kraus
Birth-and-death processes are widely used to model the development of biological populations. Although they are relatively simple models, their parameters can be challenging to est…