On certain random simplices in \({\mathbb{R}}^ n\)

DOI10.1016/0047-259X(86)90031-XzbMath0602.60019MaRDI QIDQ1081953

William J. Anderson

Publication date: 1986

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

asymptotic normalitybeta type-2 densityexact density of random volume contentrandom simplices in unit n-ball

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Exact distribution theory in statistics (62E15) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (3)

On the measure of anchored Gaussian simplices, with applications to multivariate medians ⋮ Some Common Structures of Distribution Problems in Geometric Probabilities and Multivariate Statistical Analysis ⋮ Limit theorems for random simplices in high dimensions

Cites Work

• Unnamed Item
• A canonical decomposition of the probability measure of sets of isotropic random points in \(\mathbb{R}^n\)
• On a conjecture in geometric probability regarding asymptotic normality of a random simplex
• The volume of a random simplex in an n-ball is asymptotically normal
• The volume of an isotropic random parallelotope
• Isotropic random simplices
• Linear Statistical Inference and its Applications
• The Distribution of Distance in a Hypersphere

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