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math.ST2025
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…
math.ST2018
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…