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Stochastic geometry, spatial statistics and random fields : asymptotic methods

Author: Evgeny Spodarev
Publisher: Berlin : Springer, ©2013.
Series: Lecture notes in mathematics (Springer-Verlag), 2068.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Evgeny Spodarev
ISBN: 9783642333057 3642333052 3642333044 9783642333040
OCLC Number: 827954627
Description: 1 online resource (xxiv, 446 pages) : illustrations (some color).
Contents: Foundations of Stochastic Geometry and Theory of Random Sets / Ilya Molchanov --
Introduction into Integral Geometry and Stereology / Markus Kiderlen --
Spatial Point Patterns: Models and Statistics / Adrian Baddeley --
Asymptotic Methods in Statistics of Random Point Processes / Lothar Heinrich --
Random Tessellations and Cox Processes / Florian Voss, Catherine Gloaguen --
Asymptotic Methods for Random Tessellations / Pierre Calka --
Random Polytopes / Daniel Hug --
Limit Theorems in Discrete Stochastic Geometry / Joseph Yukich --
Introduction to Random Fields / Alexander Bulinski, Evgeny Spodarev --
Central Limit Theorems for Weakly Dependent Random Fields / Alexander Bulinski, Evgeny Spodarev --
Strong Limit Theorems for Increments of Random Fields / Ulrich Stadtmüller --
Geometry of Large Random Trees: SPDE Approximation / Yuri Bakhtin.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2068.
Responsibility: Evgeny Spodarev, editor.

Abstract:

This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. Written as a contributed volume of lecture notes, it will be useful  Read more...

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