(Received January 7, 1992; revised April 15, 1994)
Abstract. Let C(A) be the convex hull generated by a Poisson point process in an unbounded convex set A. A representation of A\C(A) as the union of curvilinear triangles with independent areas is established. In the case when A is a cone the properties of the representation are examined more completely. It is also indicated how to simulate C(A) directly without first simulating the process itself.
Key words and phrases: Vertex of convex hull, Poisson point process.
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