The representation of composition structures
成果类型：
Article
署名作者：
Gnedin, AV
署名单位：
University of Gottingen
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
1997
页码：
1437-1450
关键词：
摘要：
A composition structure is a sequence of consistent probability distributions for compositions(ordered partitions) of n = 1, 2,.... Any composition structure can be associated with an exchangeable random composition of the set of natural numbers. Following Donnelly and Joyce, we study the problem of characterizing a generic composition structure as a convex mixture of the extreme ones. We topologize the family u of open subsets of [0, 1] so that u becomes compact and show that u is homeomorphic to the set of extreme composition structures. The general composition structure is related to a random element of u via a construction introduced by J. Pitman.