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.
Ann. Statist.
25(4):
1762-1780
(August 1997).
DOI: 10.1214/aos/1031594741