Hypothesis testing in integral geometry
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- by Peter Waksman PDF
- Trans. Amer. Math. Soc. 296 (1986), 507-520 Request permission
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.References
- Thomas S. Ferguson, Mathematical statistics: A decision theoretic approach, Probability and Mathematical Statistics, Vol. 1, Academic Press, New York-London, 1967. MR 0215390
- William F. Pohl, The probability of linking of random closed curves, Geometry Symposium, Utrecht 1980 (Utrecht, 1980) Lecture Notes in Math., vol. 894, Springer, Berlin-New York, 1981, pp. 113–126. MR 655422 G. Polya, Patterns of plausible inference, Princeton Univ. Press, Princeton, N. J., 1954, p. 84.
- Luis A. Santaló, Integral geometry and geometric probability, Encyclopedia of Mathematics and its Applications, Vol. 1, Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1976. With a foreword by Mark Kac. MR 0433364 P. Waksman, The associated function of a plane polygon, Ph.D. Dissertation, Univ. of Minnesota, 1983. —, Plane polygons and a conjecture of Blaschke’s, J. Appl. Probab. (to appear).
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 296 (1986), 507-520
- MSC: Primary 60D05; Secondary 52A22
- DOI: https://doi.org/10.1090/S0002-9947-1986-0846595-2
- MathSciNet review: 846595