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Random uniform triangles and the alignment problem

Published online by Cambridge University Press:  24 October 2008

Christopher Small
Christopher Small
Affiliation:
Statistical Laboratory, Cambridge
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Abstract

Let n points be drawn independently and uniformly from a compact convex set K. The distribution of the shape of the resulting n–ad is determined and studied in the region corresponding to near alignment. Special attention is given to the case n ≥ 4 and a table provided to help in the assessment of practical data (e.g. megalithic ‘alignments’). The Broadbent factor, representing the effect of stretching the parent distribution, is computed explicitly.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 91 , Issue 2 , March 1982 , pp. 315 - 322
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

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