SHAPES OF RECTANGULAR PRISMS AFTER REPEATED RANDOM DIVISION

Authors
COWAN R
Citation
R. Cowan, SHAPES OF RECTANGULAR PRISMS AFTER REPEATED RANDOM DIVISION, Advances in Applied Probability, 29(1), 1997, pp. 26-37
Citations number
8
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Advances in Applied Probability → ACNP
ISSN journal
00018678
Volume
29
Issue
1
Year of publication
1997
Pages
26 - 37
Database
ISI
SICI code
0001-8678(1997)29:1<26:SORPAR>2.0.ZU;2-T
Abstract
The shape of a rectangular prism in (d + 1)-dimensions is defined as Y = (Y-1, Y-2, ..., Y-d), Y-n = Ln/L(n + 1) where the L(n) are the pris m's edge lengths, in ascending order. We investigate shape distributio ns that are invariant when the prism is cut into two, also rectangular , prisms, with one prism retained for measurement and the other discar ded. Interesting new distributions on [0, 1](d) arise.