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math.ST2022
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…
math.ST2020
Parameter estimation in branching processes with almost sure extinction
Peter Braunsteins, Sophie Hautphenne, Carmen Minuesa
We consider population-size-dependent branching processes (PSDBPs) which eventually become extinct with probability one. For these processes, we derive maximum likelihood estimator…