On distributions of random closed sets and expected convex hulls

DOI10.1016/0167-7152(93)90199-SzbMath0789.60009OpenAlexW2019367290MaRDI QIDQ689541

Ilya S. Molchanov

Publication date: 6 June 1994

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

Full work available at URL: https://doi.org/10.1016/0167-7152(93)90199-s

zbMATH Keywords

distributionconvex hullexpectationsupport functionrandom closed set

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Probability theory on linear topological spaces (60B11)

Related Items (1)

Set estimation and nonparametric detection

Cites Work

• Unnamed Item
• Expected convex hulls, order statistics, and Banach space probabilities
• A strong law of large numbers for random compact sets
• Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models
• Integrals of set-valued functions
• On some partial orderings of random closed sets
• An application of the central limit theorem for banach-space-valued random variables to the theory of random sets

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