16 citations · 37 across the 18 of their papers we have counts for
19 papers
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…
Linking Population-Size-Dependent and Controlled Branching Processes
Peter Braunsteins, Sophie Hautphenne, James Kerlidis
Population-size dependent branching processes (PSDBP) and controlled branching processes (CBP) are two classes of branching processes widely used to model biological populations th…
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…
A fluid approach to total-progeny-dependent birth-and-death processes
Sophie Hautphenne, Minyuan Li
We introduce a class of branching processes in which the reproduction or lifetime distribution at a given time depends on the total cumulative number of individuals who have been b…
Birth-and-death Processes in Python: The BirDePy Package
Sophie Hautphenne, Brendan Patch
Birth-and-death processes (BDPs) form a class of continuous-time Markov chains that are particularly suited to describing the changes in the size of a population over time. Populat…
Markovian Transition Counting Processes: An Alternative to Markov Modulated Poisson Processes
Azam Asanjarani, Sophie Hautphenne, Yoni Nazarathy
Stochastic models for performance analysis, optimization and control of queues hinge on a multitude of alternatives for input point processes. In case of bursty traffic, one very p…