A characterisation of Pólya tree distributions
type: Item
instance of: scholarly article
title: A characterisation of Pólya tree distributions
zbMATH Open document ID: 0879.60013
DOI: 10.1016/S0167-7152(96)00028-4
author: Pietro Muliere
author: Stephen G. Walker
published in: Statistics \& Probability Letters
publication date: 1997-11-21T00:00:00Z
review text: Trees of Pólya urns are used to generate sequences of exchangeable random variables [\textit{R. D. Mauldin}, \textit{W. D. Sudderth} and \textit{S. C. Williams}, Ann. Stat. 20, No. 3, 1203-1221 (1992; Zbl 0765.62006); \textit{M. Lavine}, ibid. 22, No. 3, 1161-1176 (1994; Zbl 0820.62016)]. The authors give a characterization of the Pólya tree prior using only a special class of predictive probabilities. Dirichlet and beta processes are shown to be special cases of this process.
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 62E15
Mathematics Subject Classification ID: 60C05
zbMATH DE Number: 1031737
zbMATH Keywords: Pólya trees
zbMATH Keywords: predictive distribution
reviewed by: P. R. Parthasarathy
MaRDI profile type: Publication
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full work available at URL: s0167-7152(96)00028-4
OpenAlex ID: W2007903579
description: scientific article; zbMATH DE number 1031737