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Lecture Notes in Mathematics Ser.: Stochastic Geometry, Spatial Statistics and Random Fields : Asymptotic Methods by Evgeny Spodarev (2013, Trade Paperback)
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About this product
Product Identifiers
PublisherSpringer Berlin / Heidelberg
ISBN-103642333044
ISBN-139783642333040
eBay Product ID (ePID)143991025
Product Key Features
Number of PagesXxiv, 446 Pages
Publication NameStochastic Geometry, Spatial Statistics and Random Fields : Asymptotic Methods
LanguageEnglish
Publication Year2013
SubjectGeometry / Analytic, Probability & Statistics / Stochastic Processes, Geometry / General, Probability & Statistics / General, Discrete Mathematics
TypeTextbook
AuthorEvgeny Spodarev
Subject AreaMathematics
SeriesLecture Notes in Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Weight25.3 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
Dewey Edition23
Series Volume Number2068
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal519.2
Table Of Content1 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.
SynopsisThis 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., This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a postgraduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures 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.", 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.
LC Classification NumberQA639.5-640.7
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