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Article Dans Une Revue Bayesian Analysis Année : 2017

Posterior concentration rates for counting processes with Aalen multiplicative intensities

Résumé

We provide general conditions to derive posterior concentration rates for Aalen counting processes. The conditions are designed to resemble those proposed in the literature for the problem of density estimation, so that existing results on density estimation can be adapted to the present setting. We apply the general theorem to some prior models including Dirichlet process mixtures of uniform densities to estimate monotone non-increasing intensities and log-splines.
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hal-01044710 , version 1 (24-07-2014)

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Sophie Donnet, Vincent Rivoirard, Judith Rousseau, Catia Scricciolo. Posterior concentration rates for counting processes with Aalen multiplicative intensities. Bayesian Analysis, 2017, 12 (1), pp.53-87. ⟨10.1214/15-BA986⟩. ⟨hal-01044710⟩
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