Geometric Probability (repost)
Herbert Solomon, "Geometric Probability"
English | 1987 | ISBN: 0898710251 | 180 pages | PDF | 3,3 MB
English | 1987 | ISBN: 0898710251 | 180 pages | PDF | 3,3 MB
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.