On joint probability distribution of the number of vertices and area of the convex hulls generated by a Poisson point process

DOI10.1016/j.spl.2020.108966zbMath1455.60038OpenAlexW3094282573MaRDI QIDQ826716

N. E. Zubov

Publication date: 6 January 2021

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2020.108966

zbMATH Keywords

convex hullPoisson point processrandom point

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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Cites Work

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• Central limit theorems for random polygons in an arbitrary convex set
• Central limit theorems for uniform model random polygons
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• [https://portal.mardi4nfdi.de/wiki/Publication:5588965 Die konvexe H�lle von n rotationssymmetrisch verteilten Punkten]
• [https://portal.mardi4nfdi.de/wiki/Publication:5728818 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten]

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