Computable representations for the general density of random r–contents of beta distributed random points in an n–ball

DOI10.1080/02331888608801959zbMath0596.62058OpenAlexW1974941203MaRDI QIDQ3729842

Giorgio Pederzoli

Publication date: 1986

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888608801959

zbMATH Keywords

momentsdistributionbetaexact densitycomputable representationsvolume of random simplexsimplex convex hull

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Cites Work

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• 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