On the average perimeter of the inscribed random polygon

DOI10.1134/S1063454120010070zbMath1460.62034OpenAlexW3015480957MaRDI QIDQ2227812

Ya. Yu. Nikitin, T. A. Polevaya

Publication date: 15 February 2021

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454120010070

zbMATH Keywords

convexityuniform distributionperimeterrandom polygon

Mathematics Subject Classification ID

Random fields (60G60) Geometric probability and stochastic geometry (60D05) Point estimation (62F10) Generalized quadrangles and generalized polygons in finite geometry (51E12)

Cites Work

• \(U\)-max-statistics
• \(U\)-max-statistics and limit theorems for perimeters and areas of random polygons
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