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A simulation study of random caps on a sphere

Published online by Cambridge University Press:  24 August 2016

H. Solomon*
Affiliation:
Stanford University
C. Sutton*
Affiliation:
Stanford University
*
Postal address: Department of Statistics, Sequoia Hall, Stanford, CA 94305, USA.
Postal address: Department of Statistics, Sequoia Hall, Stanford, CA 94305, USA.

Abstract

This paper describes the computer simulation of a coverage problem in geometric probability, that of placing random caps on the surface of a sphere. The simulation results were compared with exact values, where known, and the differences were negligible. This suggested the use of simulation results to assess several approximation formulas in the literature.

Type
Research Paper
Copyright
Copyright © Applied Probability Trust 1986 

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Footnotes

This paper was prepared with the partial support of the Office of Naval Research under Contract N00014–76-C-0475.

References

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