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

Stoyan, Dietrich; Kendall, Wilfrid S.; Mecke, Joseph

Hardcover

ISBN 10: 0471950998 ISBN 13: 9780471950998

Publisher: Wiley–Blackwell, 1995

Synopsis

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.

About this title

From the Back Cover

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

Synopsis

This monograph on the results and methods of stochastic geometry and spatial statistics is accessible to practitioners and non-theoreticians, and may also be used as an introduction to the subject. Topics covered include 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 many examples drawn from different branches of science; actual data in the form of images are presented, and their statistical analyses are discussed.

Edition details

• Publisher: Wiley–Blackwell
• Publication date: 1995
• Language: English
• ISBN 10: 0471950998
• ISBN 13: 9780471950998
• Binding: Hardcover
• Edition number: 2
• Number of pages: 464