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Beta-Stacy Processes and a Generalization of the Polya-Urn Scheme
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Journal Article
Beta-Stacy Processes and a Generalization of the Polya-Urn Scheme
1997
Overview
A random cumulative distribution function (cdf) $F$ on $\\lbrack 0, \\infty)$ 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 Polya-urn scheme is introduced which characterizes the discrete beta-Stacy process.
Publisher
Institute of Mathematical Statistics,The Institute of Mathematical Statistics
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