| Title: | Stochastic Geometry, Spatial Statistics and Random Fields: Models and Algorithms | Volume: | |
| Author(s): | Volker Schmidt (eds.) | ||
| Series: | Lecture Notes in Mathematics 2120 | Periodical: | |
| Publisher: | Springer International Publishing | City: | |
| Year: | 2015 | Edition: | |
| Language: | English | Pages: | XXIV, 464 p. 133 illus. 63 illus. in color. |
| ISBN: | 978-3-319-10063-0, 978-3-319-10064-7 | ID: | 1292349 |
| Time added: | 2014-11-11 00:00:00 | Time modified: | 2014-12-27 02:40:11 |
| Library: | Library issue: | ||
| Size: | 14 MB (14709850 bytes) | Extension: | |
Providing a graduate level introduction to various aspects of stochastic geometry, spatial statistics and random fields, this volume places a special emphasis on fundamental classes of models and algorithms as well as on their applications, for example in materials science, biology and genetics. This book has a strong focus on simulations and includes extensive codes in Matlab and R, which are widely used in the mathematical community. It can be regarded as a continuation of the recent volume 2068 of Lecture Notes in Mathematics, where other issues of stochastic geometry, spatial statistics and random fields were considered, with a focus on asymptotic methods. | |||
Table of contents : Content: Front Matter....Pages i-xxiv Stein’s Method for Approximating Complex Distributions, with a View towards Point Processes....Pages 1-30 Clustering Comparison of Point Processes, with Applications to Random Geometric Models....Pages 31-71 Random Tessellations and their Application to the Modelling of Cellular Materials....Pages 73-93 Stochastic 3D Models for the Micro-structure of Advanced Functional Materials....Pages 95-141 Boolean Random Functions....Pages 143-169 Random Marked Sets and Dimension Reduction....Pages 171-203 Space-Time Models in Stochastic Geometry....Pages 205-232 Rotational Integral Geometry and Local Stereology - with a View to Image Analysis....Pages 233-255 An Introduction to Functional Data Analysis....Pages 257-292 Some Statistical Methods in Genetics....Pages 293-320 Extrapolation of Stationary Random Fields....Pages 321-368 Spatial Process Simulation....Pages 369-404 Introduction to Coupling-from-the-Past using R ....Pages 405-439 Back Matter....Pages 441-466 | |||


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