Hypothesis Testing in Integral Geometry

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1986Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 296, page 507 (issn: 0002-9947,

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Authors: Waksman, Peter;

doi: 10.2307/2000377 , 10.1090/s0002-9947-1986-0846595-2

Hypothesis Testing in Integral Geometry

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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.

Keywords

guessing the shape, Geometric probability and stochastic geometry, Integral geometry, random lines, Blaschke's chord power integrals, Parametric hypothesis testing, integral geometry

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