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Book Review
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Book Information
Author(s):
G. Matheron
Title:
Random sets and integral geometry
Additional book information:
Wiley, New York, 1975, xxiii+261 pp., $18.95
References:
- 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.
- V. Klee, What is the expected volume of a simplex whose vertices are chosen at random from a given convex body? Amer. Math. Monthly 76 (1969), 236-238. MR 1535340
- 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
Additional Information:
Reviewer(s):
J. F. C.
Kingman
Review Information:
Journal:
Bull. Amer. Math. Soc.
81
(1975),
844-847.
DOI:
10.1090/S0002-9904-1975-13853-5
PII:
S 0002-9904(1975)13853-5
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