Exact distributions for shapes of random triangles in convex sets

DOI10.2307/1427143zbMath0566.60007OpenAlexW2334426548MaRDI QIDQ3681633

David G. Kendall

Publication date: 1985

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1427143

zbMATH Keywords

convex setcollinearityrandom trianglesshape-spaceshape-density

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Exact distribution theory in statistics (62E15) Convex sets in (2) dimensions (including convex curves) (52A10) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (9)

Triangular dynamics under pressure ⋮ Some Dual Problems of Geometric Probability in the Plane ⋮ Hall's conjecture on extremal sets for random triangles ⋮ Locating lines among scattered points ⋮ Singularities of convex-polygonally generated shape-densities ⋮ Explicit formulae for polygonally generated shape-densities in the basic tile ⋮ Random Delaunay simplexes in \({\mathbb{R}}^ m\) ⋮ Random triangles on flat tori ⋮ Random Triangles and Polygons in the Plane

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