449 citations · 986 across the 29 of their papers we have counts for
16 papers · 1 filter
On a generalization of Matérn hard-core processes with applications to max-stable processes
Martin Dirrler, Martin Schlather
The Matérn hard-core processes are classical examples for point process models obtained from (marked) Poisson point processes. Points of the original Poisson process are deleted ac…
A general class of mosaic random fields
Dimitri Schwab, Martin Schlather, Jürgen Potthoff
We present a model of a random field on a topological space that unifies well-known models such as the Poisson hyperplane tessellation model, the random token model, and the de…
Conditionally Max-stable Random Fields based on log Gaussian Cox Processes
Martin Dirrler, Martin Schlather, Kirstin Strokorb
We introduce a class of spatial stochastic processes in the max-domain of attraction of familiar max-stable processes. The new class is based on Cox processes and comprises models…
Continuity of Random Fields on Riemannian Manifolds
Annika Lang, Jürgen Potthoff, Martin Schlather +1
A theorem of the Kolmogorov--Chentsov type is proved for random fields on a Riemannian manifold.
The realization problem for tail correlation functions
Ulf-Rainer Fiebig, Kirstin Strokorb, Martin Schlather
For a stochastic process with identical one-dimensional margins and upper endpoint its tail correlation function (TCF) is defined through $χ^{(X…
Systematic co-occurrence of tail correlation functions among max-stable processes
Kirstin Strokorb, Felix Ballani, Martin Schlather
The tail correlation function (TCF) is one of the most popular bivariate extremal dependence measures that has entered the literature under various names. We study to what extent t…