Article contents
Distances in Gaussian point sets
Published online by Cambridge University Press: 24 October 2008
Abstract
The joint distribution of the n(n− l)/2 distances between n normally distributed points in d dimensions is studied. Moment generating functions and probability density functions are obtained. It is shown that when n = d the squared distances are jointly exponentially distributed subject only to the constraint that a valid n point configuration is prescribed. In the case n = d = 3 the distributions of the ordered distance are obtained explicitly.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 3 , May 1985 , pp. 515 - 524
- Copyright
- Copyright © Cambridge Philosophical Society 1985
References
REFERENCES
- 5
- Cited by