2 papers
math.PR2014
A Characterization of the Poisson Process revisited
Benjamin Nehring
We show that the splitting-characterization of the Poisson point process is an immediate consequence of the Mecke-formula.
math.PR2013
The Polya branching process and limit theorems for conditioned random fields
Benjamin Nehring, Mathias Rafler
The first aim is to construct generalizations of Polya type point process by applying a branching mechanism to these point processes. Conditions are given under which these point p…