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Random spherical triangles II: Shape densities

Published online by Cambridge University Press:  01 July 2016

Huiling Le*
Affiliation:
University of Cambridge
*
Postal address: Statistical Laboratory, 16 Mill Lane, Cambridge CB2 1SB, UK.

Abstract

This paper gives the exact evaluation of the shape density on the shape space Σ(S2, 3) for a labelled random spherical triangle whose vertices are i.i.d.-uniform in a ‘cap' of S2 bounded by a ‘small' circle of angular radius ρ0.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 1989 

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References

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