Peter Braunsteins

activity

20162026

most citedExtinction in lower Hessenberg branching processes with countably many types

16 citations · 22 across the 15 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.PR2020

Extinction probabilities in branching processes with countably many types: a general framework

Daniela Bertacchi, Peter Braunsteins, Sophie Hautphenne +1

We consider Galton-Watson branching processes with countable typeset $X$ . We study the vectors $q (A) = (q_{x} (A))_{x \in X}$ recording the conditional probabili…

math.PR2020

A sample-path large deviation principle for dynamic Erdős-Rényi random graphs

Peter Braunsteins, Frank den Hollander, Michel Mandjes

We consider a dynamic Erdős-Rényi random graph (ERRG) on $n$ vertices in which each edge switches on at rate $λ$ and switches off at rate $μ$ , independently of other edges. The foc…

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…