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A NOTE CONCERNING THE DISTANCES OF UNIFORMLY DISTRIBUTED POINTS FROM THE CENTRE OF A RECTANGLE
Published online by Cambridge University Press: 07 June 2012
Abstract
Given a rectangle containing uniformly distributed random points, how far are the points from the rectangle’s centre? In this paper we provide closed-form expressions for the cumulative distribution function and probability density function that characterise the distance. An expression for the average distance to the centre of the rectangle is also provided.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 87 , Issue 1 , February 2013 , pp. 115 - 119
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2012
Footnotes
The authors would like to gratefully acknowledge partial funding of this work by NSERC. Robert Stewart would additionally like to acknowledge the support of a Postdoctoral Fellowship from the University of Alberta while he was on leave without pay from an Australian research organisation.
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