Stochastic Geometry, Spatial Statistics and Random Fields Asymptotic Methods
This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes, sets, graphs, field...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2013, 2013
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| Edition: | 1st ed. 2013 |
| Series: | Lecture Notes in Mathematics
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1 Foundations of stochastic geometry and theory of random sets
- 2 Introduction into integral geometry and stereology
- 3 Spatial point patterns – models and statistics
- 4 Asymptotic methods in statistics of random point processes
- 5 Random tessellations and Cox processes
- 6 Asymptotic methods for random tessellations
- 7 Random polytopes
- 8 Limit theorems in discrete stochastic geometry
- 9 Introduction to random fields
- 10 Central limit theorems for weakly dependent random fields
- 11 Strong limit theorems for increments of random fields
- 12 Geometry of large random trees: SPDE approximation