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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Hypothesis testing in integral geometry

Author: Peter Waksman
Journal: Trans. Amer. Math. Soc. 296 (1986), 507-520
MSC: Primary 60D05; Secondary 52A22
MathSciNet review: 846595
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Abstract: Probability distributions are defined relative to a fixed plane domain and are calculated explicitly when the domain is a union of coordinate rectangles. The theory of approximating step functions by the resulting special functions gives an interpretation of the problem of guessing a domain given a random sample of observations.

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  • [1] Thomas S. Ferguson, Mathematical statistics: A decision theoretic approach, Probability and Mathematical Statistics, Vol. 1, Academic Press, New York-London, 1967. MR 0215390
  • [2] William F. Pohl, The probability of linking of random closed curves, Lecture Notes in Math., vol. 894, Springer, Berlin-New York, 1981, pp. 113–126. MR 655422
  • [3] G. Polya, Patterns of plausible inference, Princeton Univ. Press, Princeton, N. J., 1954, p. 84.
  • [4] Luis A. Santaló, Integral geometry and geometric probability, Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1976. With a foreword by Mark Kac; Encyclopedia of Mathematics and its Applications, Vol. 1. MR 0433364
  • [5] P. Waksman, The associated function of a plane polygon, Ph.D. Dissertation, Univ. of Minnesota, 1983.
  • [6] -, Plane polygons and a conjecture of Blaschke's, J. Appl. Probab. (to appear).

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Keywords: Guessing shape, random lines, statistics
Article copyright: © Copyright 1986 American Mathematical Society