activity
20062014
most citedScaling limits for random fields with long-range dependence

48 citations · 99 across the 5 of their papers we have counts for

collaborators

5 papers

math.ST2014★ 5 cited

Asymptotic goodness-of-fit tests for the Palm mark distribution of stationary point processes with correlated marks

Lothar Heinrich, Sebastian Lück, Volker Schmidt

We consider spatially homogeneous marked point patterns in an unboundedly expanding convex sampling window. Our main objective is to identify the distribution of the typical mark b…

math.ST2012

Non-parametric asymptotic statistics for the Palm mark distribution of β-mixing marked point processes

Lothar Heinrich, Sebastian Lück, Volker Schmidt

We consider spatially homogeneous marked point patterns in an unboundedly expanding convex sampling window. Our main objective is to identify the distribution of the typical mark b…

math.PR2007★ 5 cited

Limit theorems for functionals on the facets of stationary random tessellations

Lothar Heinrich, Hendrik Schmidt, Volker Schmidt

We observe stationary random tessellations in through a convex sampling window that expands unboundedly and we determine the total -vo…

math.PR2007★ 48 cited

Scaling limits for random fields with long-range dependence

Ingemar Kaj, Lasse Leskelä, Ilkka Norros +1

This paper studies the limits of a spatial random field generated by uniformly scattered random sets, as the density of the sets grows to infinity and the mean volume of th…

math.PR2006★ 41 cited

Central limit theorems for Poisson hyperplane tessellations

Lothar Heinrich, Hendrik Schmidt, Volker Schmidt

We derive a central limit theorem for the number of vertices of convex polytopes induced by stationary Poisson hyperplane processes in . This result generalizes an ea…