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On convergence of the coverage by random arcs on a circle and the largest spacing

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Publication:1156422
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DOI10.1214/aop/1176994370zbMath0468.60018OpenAlexW2063656871MaRDI QIDQ1156422

Lars Holst

Publication date: 1981

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176994370


zbMATH Keywords

extreme valuesuniform distributionspacinggeometrical probabilitycoverage distributionrandom arc


Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Probability distributions: general theory (60E05) Limit theorems in probability theory (60F99) Statistical distribution theory (62E99)


Related Items (5)

Three limit theorems for vacancy in multivariate coverage problems ⋮ Distribution of size, structure and number of vacant regions in a high-intensity mosaic ⋮ Divisible statistics ⋮ Random, nonuniform distribution of line segments on a circle ⋮ Random arcs on the circle




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