The volume of a random simplex in an n-ball is asymptotically normal
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Publication:4157716
DOI10.2307/3213472zbMath0378.60007OpenAlexW4246312692MaRDI QIDQ4157716
Publication date: 1977
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/3213472
Geometric probability and stochastic geometry (60D05) Probability distributions: general theory (60E05)
Related Items (12)
On certain random simplices in \({\mathbb{R}}^ n\) ⋮ Random volumes under a general matrix-variate model ⋮ Random r‐content of an r‐simplex from beta‐type‐2 random points ⋮ Computable representations for the general density of random r–contents of beta distributed random points in an n–ball ⋮ The volume of random simplices from elliptical distributions in high dimension ⋮ A representation in beta series for the exact density of some random volume contents ⋮ Asymptotic normality for random simplices and convex bodies in high dimensions ⋮ Some Common Structures of Distribution Problems in Geometric Probabilities and Multivariate Statistical Analysis ⋮ On a random convex hull in an n-ball ⋮ Limit theorems for random simplices in high dimensions ⋮ The volume of simplices in high-dimensional Poisson-Delaunay tessellations ⋮ On uniformly distributed random points in an n-Ball
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