Second Order Analysis of Geometric Functionals of Boolean Models
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Publication:5275822
DOI10.1007/978-3-319-51951-7_12zbMath1373.60023arXiv1601.06718OpenAlexW2260462917MaRDI QIDQ5275822
Matthias Schulte, Daniel Hug, Michael Andreas Klatt, Günter Last
Publication date: 14 July 2017
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.06718
Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17)
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- Second-order properties and central limit theorems for geometric functionals of Boolean models
- Minkowski tensor density formulas for Boolean models
- Simulating stochastic geometries: Morphology of overlapping grains
- Poisson process Fock space representation, chaos expansion and covariance inequalities
- Normal approximation on Poisson spaces: Mehler's formula, second order Poincaré inequalities and stabilization
- Stein's method and normal approximation of Poisson functionals
- Euler characteristic and related measures for random geometric sets
- Mixed curvature measures of translative integral geometry
- Gaussian limits for random measures in geometric probability
- Large deviations of the empirical volume fraction for stationary Poisson grain models
- Gaussian limits for random geometric measures
- Stochastic and Integral Geometry
- A limit theorem for statistics of spatial data
- Asymptotic properties of stereological estimators of volume fraction for stationary random sets
- Projected thick sections through multi-dimensional particle aggregates
- Statistics of the Boolean model: from the estimation of means to the estimation of distributions
- Central limit theorem for a class of random measures associated with germ-grain models
- Continuum Percolation
- The computational geometry algorithms library CGAL
- Lectures on the Poisson Process
- Convex Bodies The Brunn-MinkowskiTheory
- Exact moments of curvature measures in the Boolean model
- Random heterogeneous materials. Microstructure and macroscopic properties
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