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Beta-Stacy processes and a generalization of the Pólya-urn scheme (1997)

Abstract
A random cumulative distribution function (cdf) F on $[0, \infty)$ from a beta-Stacy process is defined. It is shown to be neutral to the right and a generalization of the Dirichlet process. The posterior distribution is also a beta-Stacy process given independent and identically distributed (iid) observations, possibly with right censoring, from F. A generalization of the Pólya-urn scheme is introduced which characterizes the discrete beta-Stacy process.

Publication details
Download http://ProjectEuclid.org/getRecord?id=euclid.aos/1031594741
Publisher The Institute of Mathematical Statistics
Repository Project Euclid (Hosted at Cornell University Library) (United States)
Keywords 62C10 (MSC1991), 60G09 (MSC1991), Bayesian nonparametrics, beta-Stacy process, Dirichlet process, generalized Dirichlet distribution, generalized Pólya-urn scheme, Lévy process, neutral to the right process
Type text
Language Englisch