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Book Review

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Book Information:

Author: G. Matheron
Title: Random sets and integral geometry
Additional book information: Wiley, New York, 1975, xxiii+261 pp., $18.95.

References [Enhancements On Off] (What's this?)

  • 1. W. Blaschke, Vorlesungen über integral Geometrie, Teubner, Leipzig, 1936-7.
  • 2. G. Buffon, Essai d'arithmétique morale, Supplément à l'Histoire Naturelle, vol. 4, 1777.
  • 3. G. Choquet, Theory of capacities, Ann. Inst. Fourier (Grenoble) 5 (1953/54), 131-295 (1955). MR 18, 295. MR 80760
  • 4. M. W. Crofton, "Probability", in Encyclopaedia Britannica, 9th ed., 1885.
  • 5. D. G. Kendall, Foundations of a theory of random sets, Stochastic Geometry, Wiley, New York and London, 1974. MR 423465
  • 6. M. G. Kendall and P. A. P. Moran, Geometrical probability, Griffin's Statistical Monographs and Courses, no. 10, Hafner, New York, 1963. MR 30 #4275. MR 174068
  • 7. J. F. C. Kingman, Random secants of a convex body, J. Appl. Probability 6 (1969), 660-672. MR 40 #8098. MR 254891
  • 8. Victor Klee, Research Problems: What is the Expected Volume of a Simplex Whose Vertices are Chosen at Random from a Given Convex Body?, Amer. Math. Monthly 76 (1969), no. 3, 286–288. MR 1535340, https://doi.org/10.2307/2316377
  • 9. R. E. Miles, Poisson flats in Euclidean spaces. I. A finite number of random uniform flats, Advances in Appl. Probability 1 (1969), 211-237. MR 41 #4606. MR 259977
  • 10. L. A. Santaló, Introduction to integral geometry, Actualités Sci. Indust., no. 1198, Hermann, Paris, 1953. MR 15, 736. MR 60840

Review Information:

Reviewer: J. F. C. Kingman
Journal: Bull. Amer. Math. Soc. 81 (1975), 844-847
DOI: https://doi.org/10.1090/S0002-9904-1975-13853-5
American Mathematical Society