3 papers
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 vertices in which each edge switches on at rate and switches off at rate , 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…
math.PR2019
Local limit theorems for occupancy models
A. D. Barbour, Peter Braunsteins, Nathan Ross
We present a rather general method for proving local limit theorems, with a good rate of convergence, for sums of dependent random variables. The method is applicable when a Stein…