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On a Problem in Geometrical Probability

Published online by Cambridge University Press:  20 November 2018

Z.A. Melzak
Z.A. Melzak*
Affiliation:
University of British Columbia
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We consider the following problem. Let A = (aij) be a symmetric n x n matrix of non-negative numbers with aii = 0 for all i, and let n points x1, x2, …, xn be chosen at random from the interval [0, L]. What is the probability P = P(n, A, L) that for all i and j, |xi - xj| ≥ aij?

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 4 , Issue 2 , May 1961 , pp. 185 - 186
Copyright
Copyright © Canadian Mathematical Society 1961