A random distribution function on the positive real line which belongs to the class of neutral to the right priors is defined. It corresponds to the superposition of independent beta processes at the cumulative hazard level. The definition is constructive and starts with a discrete time process with random probability masses obtained from suitably defined products of independent beta random variables. The continuous time version is derived as the corresponding infinitesimal weak limit and is described in terms of completely random measures. It takes the interpretation of the survival distribution resulting from independent competing failure times. We discuss prior specification and illustrate posterior inference on a real data example.

A class of neutral to the right priors induced by superposition of beta processes

DE BLASI, Pierpaolo;FAVARO, STEFANO;
2010

Abstract

A random distribution function on the positive real line which belongs to the class of neutral to the right priors is defined. It corresponds to the superposition of independent beta processes at the cumulative hazard level. The definition is constructive and starts with a discrete time process with random probability masses obtained from suitably defined products of independent beta random variables. The continuous time version is derived as the corresponding infinitesimal weak limit and is described in terms of completely random measures. It takes the interpretation of the survival distribution resulting from independent competing failure times. We discuss prior specification and illustrate posterior inference on a real data example.
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http://www.elsevier.com/wps/find/journaldescription.cws_home/505561/description#description
Bayesian nonparametrics; Beta process; Beta-Stacy process; Completely random measures Neutral to the right priors Survival analysis
P. De Blasi; S. Favaro; P. Muliere
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/72745
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