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On the posterior distribution of a dirichlet process given randomly right censored observations

J. Blum and V. Susarla

Stochastic Processes and their Applications, 1977, vol. 5, issue 3, 207-211

Abstract: The purpose of this note is to show that the conditional distribution of a Dirichlet process P given n independent observations X1... Xn from P and belonging to measurable sets A1,... An with A1 [subset, double equals] A1+1 for i=1,... n=1 is a mixture of Dirichlet processes as introduced by Antoniak. It is also shown that this result is applicable in Bayesin decision problems concerning a random survival distribution under Dirichlet process priors.

Keywords: Dirichlet; process; mixtures; random; measures; nonparametric; posterior; distributions; randomly; censored; data; survival; distributions (search for similar items in EconPapers)
Date: 1977
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Citations: View citations in EconPapers (10)

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