Stochastic Geometry and Its Applications (Wiley Series in Probability & Statistics)

Following the style of the first edition, the authors make the results and methods of stochastic geometry and spatial statistics accessible to practitioners and non-theoreticians. Coverage includes the basic theories of point processes, random sets, fibre and surface processes, random tessellations, stereology, and the statistical theory of shape. The theory is illustrated by numerous examples drawn from different branches of science. Presents actual data in the form of images along with their statistical analysis.

The Wiley Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians and scientists.

Stochastic Geometry and its Applications

Dietrich Stoyan, TU Bergakademie Freiberg, Germany

Wilfrid S. Kendall, University of Warwick, UK

Joseph Mecke, Friedrich-Schiller-Universitaet Jena, Germany

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.

This classic monograph:

• Presents many models of stochastic geometry.

• Describes powerful statistical methods for random geometrical structures.

• Adopts an accessible style.
• Understandable by the non-mathematician needing to explore the area.

• Contains many examples, illustrating applications in various fields.

• Is linked to a companion website containing information on newer developments.

Stochastic Geometry and its Applications is ideally suited for researchers in physics, materials science, biology and ecological sciences. It is also a valuable introduction for students of mathematics and statistics.

Companion Website

www.wiley.com/go/skm