Random copy of a segment within a convex domain

DOI10.3103/S1068362310060063zbMath1302.60024OpenAlexW2084812004MaRDI QIDQ471244

H. S. Harutyunyan, Viktor Ohanyan, N. G. Agaronyan

Publication date: 14 November 2014

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362310060063

zbMATH Keywords

chord length distribution functionkinematic measurea randomly moving copy

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Integral geometry (53C65) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (5)

Covariogram of a cylinder ⋮ Kinematic measure of segments lying in a domain ⋮ Unnamed Item ⋮ Calculation of geometric probabilities using covariogram of convex bodies ⋮ Orientation-dependent distribution of the length of a random segment and covariogram

Cites Work

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• Die Verteilung der Sehnenlängen an ebenen und räumlichen Figuren
• Stochastic and Integral Geometry
• Relation between the chord length distribution of an infinitely long cylinder and that of its base
• The chord length distribution function for regular polygons

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