03832nam 22006495 450 991043787150332120200630022758.03-642-33305-210.1007/978-3-642-33305-7(CKB)3280000000020592(SSID)ssj0000870848(PQKBManifestationID)11442263(PQKBTitleCode)TC0000870848(PQKBWorkID)10819819(PQKB)10414528(DE-He213)978-3-642-33305-7(MiAaPQ)EBC3107098(PPN)168324091(EXLCZ)99328000000002059220130217d2013 u| 0engurnn|008mamaatxtccrStochastic Geometry, Spatial Statistics and Random Fields Asymptotic Methods /edited by Evgeny Spodarev1st ed. 2013.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2013.1 online resource (XXIV, 446 p. 105 illus., 27 illus. in color.) Lecture Notes in Mathematics,0075-8434 ;2068Includes contributions presented at the Summer Academy on Stochastic Geometry, Spatial Statistics and Random Fields, held at the Söllerhaus, Hirschegg, Austria, September 13-26, 2009, under the auspices of the Institute of Stochastics, University of Ulm.3-642-33304-4 Includes bibliographical references (pages 421-440) and index.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.Lecture Notes in Mathematics,0075-8434 ;2068Convex geometry Discrete geometryProbabilitiesStatistics Convex and Discrete Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21014Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Statistical Theory and Methodshttps://scigraph.springernature.com/ontologies/product-market-codes/S11001Convex geometry .Discrete geometry.Probabilities.Statistics .Convex and Discrete Geometry.Probability Theory and Stochastic Processes.Statistical Theory and Methods.519.2Spodarev Evgenyedthttp://id.loc.gov/vocabulary/relators/edtUniversität Ulm.Institut für Stochastik.BOOK9910437871503321Stochastic geometry, spatial statistics and random fields836596UNINA