6 citations · 10 across the 6 of their papers we have counts for
3 papers · 1 filter
Mixing Properties of Random Laguerre Tessellations
Zbyněk Pawlas, Martina Švarc Petráková
In this paper, we study the random Laguerre tessellation, a weighted generalization of the Voronoi tessellation, generated by a general stationary marked point process. We first de…
Limit theory for unbiased and consistent estimators of statistics of random tessellations
Daniela Flimmel, Zbyněk Pawlas, Joseph E. Yukich
We observe a realization of a stationary generalized weighted Voronoi tessellation of the d-dimensional Euclidean space within a bounded observation window. Given a geometric chara…
Statistics for Poisson models of overlapping spheres
Daniel Hug, Günter Last, Zbyněk Pawlas +1
The paper considers the stationary Poisson Boolean model with spherical grains and proposes a family of nonparametric estimators for the radius distribution. These estimators are b…