Stochastic Geometry and its Applications

by Stoyan, Dietrich; Kendall, Wilfrid S.

• ISBN13: 9780470743645
• ISBN10: 0470743646
• Edition: 2nd
• Format: Paperback
• Copyright: 2009-03-16
• Publisher: Wiley

Summary

The Wiley Paperback Series makes valuable content more accessible to a new generation of statisticians, mathematicians and scientists.Stochastic geometry and spatial statistics play a fundamental role in many modern branches of physics, materials sciences, biology and environmental sciences. They offer successful models for the description of random two- and three-dimensional micro and macro structures and statistical methods for their analysis. The book deals with the following topics:point processes random sets random measures random shapes fibre and surface processes tessellations stereological methods.This book has served as the key reference in its field for over 20 years and is regarded as the best treatment of the subject of stochastic geometry, both as an subject with vital applications to spatial statistics and as a very interesting field of mathematics in its own right.

Table of Contents

Mathematical Foundation.

Point Processes I--The Poisson Point Process.

Random Closed Sets I--The Boolean Model.

Point Processes II--General Theory.

Point Processes III--Construction of Models.

Random Closed Sets II--The General Case.

Random Measures.

Random Processes of Geometrical Objects.

Fibre and Surface Processes.

Random Tessellations.

Stereology.

References.

Indexes.