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

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

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 …