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math.PR2019
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…
math.PR2013
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…