Limit Theorems in Discrete Stochastic Geometry
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Publication:5326032
DOI10.1007/978-3-642-33305-7_8zbMath1278.60023OpenAlexW96374469MaRDI QIDQ5326032
Publication date: 31 July 2013
Published in: Stochastic Geometry, Spatial Statistics and Random Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-33305-7_8
stabilizationstochastic geometryconvex hullcentral limit theoremssubadditivitylaws of large numbersvariance asymptoticsEuclidean combinatorial optimizationdimension estimationmethod of cumulants
Classification and discrimination; cluster analysis (statistical aspects) (62H30) Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
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- Limit theorems for geometric functionals of Gibbs point processes
- Limit theory for point processes in manifolds
- Moderate deviations for some point measures in geometric probability
- A new method of normal approximation
- Sparsity and the possibility of inference
- Gaussian limits for generalized spacings
- Limit theorems for multi-dimensional random quantizers
- Subadditive Euclidean functionals and nonlinear growth in geometric probability
- Random approximation of convex bodies
- On the asymptotic distribution of the area outside a random convex hull in a disk
- Limit theorems and rates of convergence for Euclidean functionals
- Probability theory of classical Euclidean optimization problems
- Gaussian limits for random measures in geometric probability
- The central limit theorem for weighted minimal spanning trees on random points
- Weak laws of large numbers in geometric probability
- Limit theory for random sequential packing and deposition
- Central limit theorems for some graphs in computational geometry.
- Normal approximation under local dependence.
- Asymptotics for Euclidean functionals with power-weighted edges
- Multivariate normal approximation in geometric probability
- Gaussian limits for random geometric measures
- Variance asymptotics and central limit theorems for generalized growth processes with applications to convex hulls and maximal points
- Laws of large numbers in stochastic geometry with statistical applications
- Rates of convergence of means of Euclidean functionals
- Gaussian limits for multidimensional random sequential packing at saturation
- Central limit theorems for random polytopes
- Mathematics of random growing interfaces
- Intrinsic volumes of inscribed random polytopes in smooth convex bodies
- Probabilistic analysis for a multiple depot vehicle routing problem
- Stochastic and Integral Geometry
- Towards persistence-based reconstruction in euclidean spaces
- Topology and data
- Determining Intrinsic Dimension and Entropy of High-Dimensional Shape Spaces
- Random Geometric Graphs
- An Introduction to the Theory of Point Processes
- Random approximation of convex sets*
- Geodesic Entropic Graphs for Dimension and Entropy Estimation in Manifold Learning
- Strong Markov Property of Poisson Processes and Slivnyak Formula
- Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data
- [https://portal.mardi4nfdi.de/wiki/Publication:5728818 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten]
- Large deviation principles for Euclidean functionals and other nearly additive processes
- Random heterogeneous materials. Microstructure and macroscopic properties
