Some properties of convex hulls generated by homogeneous Poisson point processes in an unbounded convex domain

DOI10.1007/BF00773409zbMath0829.60040MaRDI QIDQ1895433

Alexander V. Nagaev

Publication date: 16 August 1995

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

Poisson point processvertex of convex hull

Mathematics Subject Classification ID

Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (8)

On joint probability distribution of the number of vertices and area of the convex hulls generated by a Poisson point process ⋮ Convex Hulls of Uniform Samples from a Convex Polygon ⋮ Asymptotic Methods for Random Tessellations ⋮ Unnamed Item ⋮ Properties of convex hull generated by inhomogeneous Poisson point process ⋮ Exact Formulae for Variances of Functionals of Convex Hulls ⋮ Limit theorems for the typical Poisson-Voronoi cell and the Crofton cell with a large inradius ⋮ On Limit Theorem for the Number of Vertices of the Convex Hulls in a Unit Disk

Cites Work

• Unnamed Item
• Limit theorems for convex hulls
• An introduction to the theory of point processes

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