An introduction to geometrical probability : distributional aspects with applications
著者
書誌事項
An introduction to geometrical probability : distributional aspects with applications
（Statistical distributions and models with applications, 1）
Gordon and Breach Science Publisher, c1999
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注記
Bibliography: p. 491-537
Includes indexes
内容説明・目次
内容説明
A useful guide for researchers and professionals, graduate and senior undergraduate students, this book provides an in-depth look at applied and geometrical probability with an emphasis on statistical distributions.
A meticulous treatment of geometrical probability, kept at a level to appeal to a wider audience including applied researchers who will find the book to be both functional and practical with the large number of problems chosen from 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.
目次
1. Buffon's Clean Tile Problem and the Needle Problem 2. Some Geometrical Objects 3. Probability Measures and Invariance Properties 4. Measures for Points of Intersection and Random Rotations 5. Random Points 6. Random Distances on a Line and Some General Procedures 7. Random Distances in a Circle 8. Random Points in a Plane and Random Points in Rectangles 9. Random Distances in a Convex Body 10. The Content of a Random Parallelotope 11. Random Volume, an Algebraic Procedure 12. Random Points in a n-Ball 13. Convex Hulls Generated by Random Points 14. Random Simplex in a Given Simplex 15. The Method of Moments 16. Uniformly Distributed Random Points in a Unit n-Ball 17. Type-1 Beta Distributed Random Points in Rn 18. Type-2 Beta Distributed Random Points in Rn 19. Gaussian Distributed Random Points in Rn 20. Approximations and Asymptotic Results 21. Miscellaneous Random Volumes and Their Distributions
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