Neath, Andrew A. Pólya tree distributions for statistical modeling of censored data. (English) Zbl 1046.62009 J. Appl. Math. Decis. Sci. 7, No. 3, 175-186 (2003). Summary: Polya tree distributions extend the idea of the Dirichlet process as a prior for Bayesian nonparametric problems. Finite dimensional distributions are defined through conditional probabilities in \(P\). This allows for a specification of prior information which carries greater weight where it is deemed appropriate according to the choice of a partition of the sample space.P. Muliere and S. Walker [Scand. J. Stat. 24, 331–340 (1997; Zbl 0888.62031)] construct a partition so that the posterior from right censored data is also a Polya tree. A point of contention is that the specification of the prior is partially dependent on the data. In general, the posterior from censored data will be a mixture of Polya trees. This paper will present a straightforward method for determining the mixing distribution. Cited in 7 Documents MSC: 62E10 Characterization and structure theory of statistical distributions 62N01 Censored data models 62G99 Nonparametric inference Keywords:Bayesian nonparametric problems; finite dimensional distributions; mixture distributions; survival data Citations:Zbl 0888.62031 PDFBibTeX XMLCite \textit{A. A. Neath}, J. Appl. Math. Decis. Sci. 7, No. 3, 175--186 (2003; Zbl 1046.62009) Full Text: DOI EuDML