6 citations · 10 across the 6 of their papers we have counts for
6 papers
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…
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…
Causality in extremes of time series
Juraj Bodik, Zbyněk Pawlas, Milan Paluš
Consider two stationary time series with heavy-tailed marginal distributions. We aim to detect whether they have a causal relation, that is, if a change in one causes a change in t…
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…
Fractional absolute moments of heavy tailed distributions
Muneya Matsui, Zbynek Pawlas
Several convenient methods for calculation of fractional absolute moments are given with application to heavy tailed distributions. We use techniques of fractional differentiation…