A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons

DOI10.1155/S1048953399000283zbMath0959.60007WikidataQ21147003 ScholiaQ21147003MaRDI QIDQ1566513

Igor N. Kovalenko

Publication date: 26 April 2001

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48702

zbMATH Keywords

stochastic geometryrandom setsrandom tessellation

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05)

Related Items (14)

The limit shape of the zero cell in a stationary Poisson hyperplane tessellation. ⋮ Intrinsic correlation in planar Poisson line processes ⋮ Asymptotic Methods for Random Tessellations ⋮ Introduction to Stochastic Geometry ⋮ Small cells in a Poisson hyperplane tessellation ⋮ The $\beta$-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions ⋮ Influence of Boris V. Gnedenko's probabilistic-statistical school on the development of cybernetics and informatics ⋮ Short-length routes in low-cost networks via Poisson line patterns ⋮ A review of my scientific publications. Masters and coworkers ⋮ Planar line processes for void and density statistics in thin stochastic fibre networks ⋮ Large Poisson-Voronoi cells and Crofton cells ⋮ Large faces in Poisson hyperplane mosaics ⋮ Limit theorems for the typical Poisson-Voronoi cell and the Crofton cell with a large inradius ⋮ I. N. Kovalenko's scientific works

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