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The Mardia–Dryden shape distribution for triangles: a stochastic calculus approach

Published online by Cambridge University Press:  14 July 2016

David G. Kendall
David G. Kendall*
Affiliation:
University of Cambridge
*
∗Postal address: Statistical Laboratory, 16 Mill Lane, Cambridge CB2 1SB, UK.
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Abstract

A remarkable distribution found by Mardia and Dryden for the shape of a random triangle in ℝ2 whose vertices are displaced from their initial positions by independent identical symmetrical gaussian perturbations is re-derived via stochastic calculus.

Keywords

BESSEL BRIDGEBESSEL PROCESSLEGENDRE POLYNOMIALRANDOM TRIANGLESIZE-AND-SHAPESPHERICAL BROWNIAN MOTIONWEBER EXPONENTIAL INTEGRAL
Type
Short Communications
Information
Journal of Applied Probability , Volume 28 , Issue 1 , March 1991 , pp. 225 - 230
Copyright
Copyright © Applied Probability Trust 1991 

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References

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