Stochastic Geometry, Spatial Statistics and Random Fields Asymptotic Methods /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Spodarev, Evgeny. (Editor)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Lecture Notes in Mathematics, 2068
• Subjects: Mathematics.; Discrete groups.; Distribution (Probability theory).; Mathematical statistics.; Convex and Discrete Geometry.; Probability Theory and Stochastic Processes.; Statistical Theory and Methods.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-33305-7

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...

Table of Contents:

• 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.