An introduction to geometrical probability
Subtitle: distributional aspects with applications
By: A.M. Mathai
Series: Statistical distributions and models with applications -- v. 1
Publisher: Gordon & Breach
Published: December 1, 1999
Place of publication: Amsterdam, USA
Language: eng
Format: Hardcover
Number of pages: 554
ISBN-13: 9789056996819
Subjects: Random sets; Geometric probabilities
Description: An in-depth look at applied and geometrical probability with an emphasis on statistical distributions, this text is a meticulous treatment of geometrical probability, kept at a level to appeal to a wider audience from a variety of different disciplines.
A few topics such as packing and covering problems that have a vast literature are introduced here at a peripheral level for the purpose of familiarizing readers who are new to the area of research.
Notes: Includes bibliographical references (p. 491-537) and indexes
Table of contents: title: 1. Buffon's Clean Tile Problem and the Needle Problem; title: 2. Some Geometrical Objects; title: 3. Probability Measures and Invariance Properties; title: 4. Measures for Points of Intersection and Random Rotations; title: 5. Random Points; title: 6. Random Distances on a Line and Some General Procedures; title: 7. Random Distances in a Circle; title: 8. Random Points in a Plane and Random Points in Rectangles; title: 9. Random Distances in a Convex Body; title: 10. The Content of a Random Parallelotope; title: 11. Random Volume, an Algebraic Procedure; title: 12. Random Points in a n-Ball; title: 13. Convex Hulls Generated by Random Points; title: 14. Random Simplex in a Given Simplex; title: 15. The Method of Moments; title: 16. Uniformly Distributed Random Points in a Unit n-Ball; title: 17. Type-1 Beta Distributed Random Points in Rn; title: 18. Type-2 Beta Distributed Random Points in Rn; title: 19. Gaussian Distributed Random Points in Rn; title: 20. Approximations and Asymptotic Results; title: 21. Miscellaneous Random Volumes and Their Distributions