Geometric probability
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1978
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| Schriftenreihe: | CBMS-NSF regional conference series in applied mathematics
28 |
| Schlagworte: | |
| Online-Zugang: | DE-91 DE-20 DE-706 DE-29 Volltext |
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| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references Buffon needle problem, extensions, and estimation of pi -- Density and measure for random geometric elements -- Random lines in the plane and applications -- Covering a circle circumference and a sphere surface -- Crofton's theorem and Sylvester's problem in two and three dimensions -- Random chords in the circle and the sphere 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 |
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| Beschreibung: | 1 Online-Ressource (vii, 172 Seiten) |
| ISBN: | 0898710251 9780898710250 |
| DOI: | 10.1137/1.9781611970418 |