Topics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and rotation; the number of random line intersections in a plane and their angles of intersection; developments due to W. L. Stevens's ingenious solution for evaluating the probability that n random arcs of size a cover a unit circumference completely; the development of M. W. Crofton's mean value theorem and its applications in classical problems; and an interesting problem in geometrical probability presented by a karyograph.
| ISBN: | 9780898710250 |
| Publication date: | 28th February 1987 |
| Author: | Herbert Solomon |
| Publisher: | Society for Industrial and Applied Mathematics an imprint of SIAM - Society for Industrial and Applied Mathematics |
| Format: | Paperback |
| Pagination: | 180 pages |
| Series: | CBMS-NSF Regional Conference Series in Applied Mathematics |
| Genres: |
Applied mathematics Geometry Probability and statistics |
Topics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and rotation; the number of random line intersections in a plane and their angles of intersection; developments due to W. L. Stevens's ingenious solution for evaluating the probability that n random arcs of size a cover a unit circumference completely; the development of M. W. Crofton's mean value theorem and its applications in classical problems; and an interesting problem in geometrical probability presented by a karyograph.
Geometric Probability features in the following genres: Applied mathematics, Geometry, Probability and statistics
Geometric Probability is available in Paperback
Geometric Probability was written by Herbert Solomon and published by Society for Industrial and Applied Mathematics an imprint of SIAM - Society for Industrial and Applied Mathematics
Geometric Probability has 180 pages
Yes it is part of CBMS-NSF Regional Conference Series in Applied Mathematics series