3 papers
cond-mat.mtrl-sci2022
Fitting the grain orientation distribution of a polycrystalline material conditioned on a Laguerre tessellation
I. Karafiátová, J. Møller, Z. Pawlas +3
The description of distributions related to grain microstructure helps physicists to understand the processes in materials and their properties. This paper presents a general stati…
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…