2 citations · 4 across the 8 of their papers we have counts for
8 papers
General thinning characterizations of distributions and point processes
Mathias Rafler
For general thinning procedures, its inverse operation, the condensing, is studied and a link to integration-by-parts formulas is established. This extends the recent results on th…
A hydrodynamic limit and fluctuations for a Chinese restaurant-like process
Mathias Rafler
We study a Markov process constructed from the Pólya sum process, which yields a kind of spatial version of the Chinese restaurant process, where each 'table' is assigned a 'locati…
Exit spaces for Cox processes and the Pólya sum process
Mathias Rafler
For Cox processes we construct a Markov process with increasing paths to couple the condensations of the Cox process in a monotone way. A similar procedure procedure yields an anal…
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…
The logical postulates of Böge, Carnap and Johnson in the context of Papangelou processes
Mathias Rafler, Hans Zessin
We adapt Johnson's sufficiency postulate, Carnap's prediction invariance postulate and Böge's learn-merge invariance to the context of Papangelou processes and discuss equivalence…
Hoppe trees, random recursive sets and their barycentre
Mathias Rafler
We consider a recursively defined random set of points and its barycenter, where the random set is constructed by the following inductive rule: Given a realization of points,…