2013, XXIV, 446 p. 105 illus., 27 illus. in color.
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Comprises introductory material as well as advances topics with a significant number of proofs
Numerous images ease the understanding of complex mathematical notions
Includes a large number of excercises for active reading Provides vast research bibliography
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.
Content Level »Research
Keywords »60D05, 52A22, 60G55, 60G60, 60G57, 60F05, 60F15, 60J25 - geometric probability - random fields - random graphs - random sets