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Extension of Deltheil's study on random points in a convex quadrilateral

Published online by Cambridge University Press:  01 July 2016

Richard Cowan  and
S. N. Chiu
Richard Cowan
Affiliation:
School of Mathematics and Statistics, University of Sydney, NSW, 2006, Australia. Email address: rcowan@mail.usyd.edu.au
S. N. Chiu
Affiliation:
Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong.
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Abstract

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Type
Letter to the Editor
Information
Advances in Applied Probability , Volume 37 , Issue 3 , September 2005 , pp. 857 - 858
Copyright
Copyright © Applied Probability Trust 2005 

References

Buchta, C. (1986). On a conjecture of R. E. Miles about the convex hull of random points. Monatsh. Math. 102, 91–102.Google Scholar
Buchta, C. (2005). An identity relating moments of functions of convex hulls. Discrete Comput. Geom. 33, 125–142.Google Scholar
Cowan, R. and Chiu, S. N. (2005). Technical report: a solution of Sylvester-like problems for convex quadrilaterals. Tech. Rep. Available at http://www.maths.usyd.edu.au/u/richardc/randomgeom.html.Google Scholar
Deltheil, R. (1926). Probabilités Géométriques (Traité du calcul des probabilités et de ses applications 2). Gauthier-Villars, Paris.Google Scholar
Efron, B. (1965). The convex hull of a random set of points. Biometrika 52, 331–343.Google Scholar
Reed, W. J. (1974). Random points in a simplex. Pacific J. Math. 54, 183–198.CrossRefGoogle Scholar