Stochastic Geometry, Spatial Statistics and Random Fields

Asymptotic Methods
 Paperback

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ISBN-13:
9783642333040
Veröffentl:
2013
Einband:
Paperback
Erscheinungsdatum:
07.02.2013
Seiten:
472
Autor:
Evgeny Spodarev
Gewicht:
709 g
Format:
235x155x26 mm
Serie:
2068, Lecture Notes in Mathematics
Sprache:
Englisch
Beschreibung:

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, fields) with applications to statistics. Written as a contributed volume of lecture notes, it will be useful not only for students but also for lecturers and researchers interested in geometric probability and related subjects.
Comprises introductory material as well as advances topics with a significant number of proofs
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.

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