Random r‐content of an r‐simplex from beta‐type‐2 random points

DOI10.2307/3315754zbMath0781.60014OpenAlexW2020166600MaRDI QIDQ4275248

David P. T. Chu

Publication date: 17 February 1994

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315754

zbMATH Keywords

asymptotic normalitymultivariate analysishypothesis-testing problemsrandom points in \(\mathbb{R}^ n\)

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Probability distributions: general theory (60E05) Integral geometry (53C65) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (3)

Expected intrinsic volumes and facet numbers of random beta‐polytopes ⋮ Limit theorems for random simplices in high dimensions ⋮ Fine asymptotics for models with Gamma type moments

Cites Work

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• Extensions of Wilks' integral equations and distributions of test statistics
• The volume of a random simplex in an n-ball is asymptotically normal
• A Note on the Asymptotic Expansion of a Ratio of Gamma Functions
• Isotropic random simplices
• Some Common Structures of Distribution Problems in Geometric Probabilities and Multivariate Statistical Analysis
• The Distribution of Distance in a Hypersphere

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