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

previous :: next

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

Richard Cowan and S. N. Chiu

Source: Adv. in Appl. Probab. Volume 37, Number 3 (2005), 857-858.

Abstract

First Page: Show

Primary Subjects:

Secondary Subjects:

Keywords:

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.

If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aap/1127483751
Digital Object Identifier: doi:10.1239/aap/1127483751
Mathematical Reviews number (MathSciNet): MR2156564
Zentralblatt MATH identifier: 1072.60500

back to Table of Contents

References

Buchta, C. (1986). On a conjecture of R. E. Miles about the convex hull of random points. Monatsh. Math. 102, 91--102.

Mathematical Reviews (MathSciNet): MR861933

Buchta, C. (2005). An identity relating moments of functions of convex hulls. Discrete Comput. Geom. 33, 125--142.

Mathematical Reviews (MathSciNet): MR2105754

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.

Deltheil, R. (1926). Probabilités Géométriques (Traité du calcul des probabilités et de ses applications 2). Gauthier-Villars, Paris.

Efron, B. (1965). The convex hull of a random set of points. Biometrika 52, 331--343.

Mathematical Reviews (MathSciNet): MR207004

Zentralblatt MATH: 0138.41301

Reed, W. J. (1974). Random points in a simplex. Pacific J. Math. 54, 183--198.

Mathematical Reviews (MathSciNet): MR372753

previous :: next