Herbert Solomon
CBMSNSF Regional Conference Series in Applied Mathematics 28
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.
Contents
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.
1978 / vi + 174 pages / Softcover / ISBN13: 9780898710250 / ISBN10: 0898710251 / List Price $71.00 / SIAM/CBMS Member Price $49.70 / Order Code CB28
