Exchangeable Random Ordered Trees by Positive Definite Functions

被引：0

作者：

Ulrich Hirth

机构：

[1] Universität der Bundeswehr München,Institute of Mathematics, Faculty of Aerospace Engineering 1

来源：

Journal of Theoretical Probability | 2003年 / 16卷

关键词：

semigroups; random trees; positive definite functions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that the set of exchangeable random totally ordered trees is a Bauer simplex whose extreme points are the generalized paint-box processes. The method is based on semigroups, analogous to Hirth and Ressel,(2, 3) and is readily also applied to inverse trees.

引用

页码：339 / 344

页数：5

共 6 条

[1]

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[2]

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[3]

Hirth U.(1988)Integral representations for distributions of symmetric stochastic processes Probab. Theory Related Fields 79 451-467

[4]

Ressel P.(1994)Non-homogeneous de Finetti-type theorems J. Theoret. Probab. 7 469-482

[5]

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[6]

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