The volume of an isotropic random parallelotope
- 1 March 1979
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 16 (1) , 84-94
- https://doi.org/10.2307/3213377
Abstract
The p-content of the p-parallelotope ∇p, n determined by p independent isotropic random points z1, …, zp in ℝn (1 < p ≦ n) can be expressed as a product of independent variates in two ways, by successive orthogonal projection onto linear subspaces and by radial projection of the points, enabling calculation of the actual distribution as well as the moments of ∇p, n. This is done explicitly in several cases. The results also have interest in multivariate statistics.Keywords
This publication has 1 reference indexed in Scilit:
- Isotropic random simplicesAdvances in Applied Probability, 1971