16 citations · 37 across the 18 of their papers we have counts for
3 papers · 1 filter
Extinction in lower Hessenberg branching processes with countably many types
Peter Braunsteins, Sophie Hautphenne
We consider a class of branching processes with countably many types which we refer to as Lower Hessenberg branching processes. These are multitype Galton-Watson processes with typ…
Fitting Markovian binary trees using global and individual demographic data
Sophie Hautphenne, Melanie Massaro, Katharine Turner
We consider a class of branching processes called Markovian binary trees, in which the individuals lifetime and reproduction epochs are modeled using a transient Markovian arrival…
The time-dependent expected reward and deviation matrix of a finite QBD process
Sarah Dendievel, Sophie Hautphenne, Guy Latouche +1
Deriving the time-dependent expected reward function associated with a continuous-time Markov chain involves the computation of its transient deviation matrix. In this paper we foc…