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Book Cover
Author Stoyan, Dietrich.

Title Fractals, random shapes, and point fields : methods of geometrical statistics / Dietrich and Helga Stoyan
Edition Repr. with corrected
Published Chichester ; New York : Wiley, [1994]


Location Call no. Vol. Availability
 W'PONDS  519.2 Sto/Frs  AVAILABLE
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 Germ-Grain 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 non-mathematicians 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
Bibliography Includes bibliographical references (pages [369]-386) and index
Subject Fractals.
Geometry -- Statistical methods.
Point processes.
Geometry -- Statistical methods.
Point processes.
Author Stoyan, Helga.
LC no. 94010488
ISBN 0471937576
Other Titles Fraktale-Formen-Punktfelder. English