Description 
xiv, 389 pages : illustrations ; 24 cm 
Series 
Wiley series in probability and mathematical statistics 

Wiley series in probability and mathematical statistics., Applied probability and statistics 

Wiley series in probability and mathematical statistics.


Wiley series in probability and mathematical statistics. Applied probability and statistics.

Contents 
App. L Kernel Estimators for Density Functions 

Ch. 1. Introduction  Ch. 2. Hausdorff Measure and Dimension  Ch. 3. Deterministic Fractals  Ch. 4. Random Fractals  Ch. 5. Methods for the Empirical Determination of Fractal Dimension  Ch. 6. Fundamental Concepts  Ch. 7. Representation of Contours  Ch. 8. Set Theoretic Analysis  Ch. 9. Point Description of Figures  Ch. 10. Examples  Ch. 11. Fundamentals  Ch. 12. Finite Point Fields  Ch. 13. Poisson Point Fields  Ch. 14. Fundamentals of the Theory of Point Fields  Ch. 15. Statistics for Homogeneous Point Fields  Ch. 16. Point Field Models  App. A Measure and Content  App. B sup and inf, lim sup and lim inf  App. C Basic Ideas in Topology  App. D Set Operations  App. E The Euclidean and Hausdorff Metrics  App. F Boolean Models  App. G The Convex Hull  App. H Random Lines and Line Fields  App. I The Dirichlet Mosaic and the Delaunay Triangulation  App. J GermGrain Models  App. K The Area of Intersection of Two Discs 
Summary 
There has been an increasing interest in the statistical analysis of geometric objects and structures in many branches of science and engineering in recent years. The aim of this book is to present these statistical methods for practical use by nonmathematicians by outlining the mathematical ideas rather than concentrating on detailed proofs. The clarity of exposition ensures that the book will be a valuable resource for researchers and practitioners in many scientific disciplines who wish to use these methods in their work. In particular, the book is suited to materials scientists, geologists, environmental scientists, and biologists 
Analysis 
Algebraic geometry 

Probability 
Bibliography 
Includes bibliographical references (pages [369]386) and index 
Subject 
Fractals.


Geometry  Statistical methods.


Point processes.


Fractals.


Geometry  Statistical methods.


Point processes.

Author 
Stoyan, Helga.

LC no. 
94010488 
ISBN 
0471937576 
