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＜電子ブック＞
Stochastic Geometry, Spatial Statistics and Random Fields : Asymptotic Methods / edited by Evgeny Spodarev
(Lecture Notes in Mathematics. ISSN:16179692 ; 2068)

版	1st ed. 2013.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2013
大きさ	XXIV, 446 p. 105 illus., 27 illus. in color : online resource
著者標目	Spodarev, Evgeny editor SpringerLink (Online service)
件　名	LCSH:Convex geometry  LCSH:Discrete geometry LCSH:Probabilities LCSH:Statistics  FREE:Convex and Discrete Geometry FREE:Probability Theory FREE:Statistical Theory and Methods
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-642-33305-7

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