A representation in beta series for the exact density of some random volume contents

DOI10.1080/03610928608829311zbMath0634.62048OpenAlexW2048772411MaRDI QIDQ3773087

Giorgio Pederzoli

Publication date: 1986

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928608829311

zbMATH Keywords

convex hulln- dimensional unit spherecomputable beta seriesindependent and identically distributed random pointsmixture of beta densitiesmixture representations of exact densityr-simplex

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Probability distributions: general theory (60E05) Distribution theory (60E99)

Related Items (1)

Some Common Structures of Distribution Problems in Geometric Probabilities and Multivariate Statistical Analysis

Cites Work

• Unnamed Item
• The distribution of the sum of independent gamma random variables
• On a conjecture in geometric probability regarding asymptotic normality of a random simplex
• On uniformly distributed random points in an n-Ball
• The volume of a random simplex in an n-ball is asymptotically normal
• Isotropic random simplices
• The Distribution of Distance in a Hypersphere

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