Titlebook: Stochastic Geometry, Spatial Statistics and Random Fields; Models and Algorithm Volker Schmidt Book 2015 Springer International Publishing

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Random Marked Sets and Dimension Reduction,th covariates are subject to dimension reduction, where we restrict to the sliced inverse regression method. Slicing is suggested based on geometrical marks. In a refined model for dimension reduction the second-order central subspace is analyzed. Numerical results on estimation and testing the central subspace are presented based on simulations.

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Space-Time Models in Stochastic Geometry,odels, models with separable kernels are considered. Moreover fully nonseparable models based on ambit processes are introduced. Inference for the models based on second-order statistics is developed.

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Random Tessellations and their Application to the Modelling of Cellular Materials,can be estimated from 3D images of the material. It is explained how estimates are obtained and how these characteristics can be used to fit tessellation models to the observed structure. All analysis and modelling steps are illustrated using the example of an open cell aluminium foam.

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Book 2015t can be seen as a continuation of the recent volume 2068 of Lecture Notes in Mathematics, where other issues of stochastic geometry, spatial statistics and random fields wereconsidered with a focus on asymptotic methods.

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Clustering Comparison of Point Processes, with Applications to Random Geometric Models, founded on some basic observations allowing us to consider void probabilities and moment measures as two complementary tools for capturing clustering phenomena in point processes. As might be expected, smaller values of these characteristics indicate less clustering. Also, various global and local

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Stochastic 3D Models for the Micro-structure of Advanced Functional Materials,stic models are presented describing different micro-structures of functional materials by means of methods from stochastic geometry, graph theory and time series analysis. The structures of these materials strongly differ from each other, where we consider organic solar cells being an anisotropic c

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Boolean Random Functions,nation of a sequence of primary random functions by the operation ∨ (supremum) or ∧ (infimum), and their main properties (among which the supremum or infimum infinite divisibility) are given in the case of scalar random functions built on Poisson point processes. Examples of applications to the mode

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