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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Bibliographic Details
Other Authors: Spodarev, Evgeny (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2013, 2013
Edition:1st ed. 2013
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Stochastic Geometry, Spatial Statistics and Random Fields  |h Elektronische Ressource  |b Asymptotic Methods  |c edited by Evgeny Spodarev 
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300 |a XXIV, 446 p. 105 illus., 27 illus. in color  |b online resource 
505 0 |a 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 
653 |a Convex and Discrete Geometry 
653 |a Statistical Theory and Methods 
653 |a Statistics  
653 |a Convex geometry  
653 |a Discrete geometry 
653 |a Probability Theory and Stochastic Processes 
653 |a Probabilities 
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520 |a 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