2 papers
math.PR2025
Existence and non-existence of consistent estimators in supercritical controlled branching processes
Peter Braunsteins, Sophie Hautphenne, James Kerlidis
We consider the problem of estimating the parameters of a supercritical controlled branching process consistently from a single observed trajectory of population size counts. Our g…
math.ST2024
Consistent least squares estimation in population-size-dependent branching processes
Peter Braunsteins, Sophie Hautphenne, Carmen Minuesa
We derive the first conditionally consistent estimators for a class of parametric Markov population models with logistic growth, which are suitable for modelling endangered populat…