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Dependent generalized Dirichlet process priors for the analysis of acute lymphoblastic leukemia

Barcella, W; De Iorio, M; Favaro, S; Rosner, G; (2017) Dependent generalized Dirichlet process priors for the analysis of acute lymphoblastic leukemia. Biostatistics 10.1093/biostatistics/kxx042. (In press). Green open access

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Abstract

We propose a novel Bayesian nonparametric process prior for modeling a collection of random discrete distributions. This process is defined by including a suitable Beta regression framework within a generalized Dirichlet process to induce dependence among the discrete random distributions. This strategy allows for covariate dependent clustering of the observations. Some advantages of the proposed approach include wide applicability, ease of interpretation, and availability of efficient MCMC algorithms. The motivation for this work is the study of the impact of asparginage metabolism on lipid levels in a group of pediatric patients treated for acute lymphoblastic leukemia.

Type: Article
Title: Dependent generalized Dirichlet process priors for the analysis of acute lymphoblastic leukemia
Open access status: An open access version is available from UCL Discovery
DOI: 10.1093/biostatistics/kxx042
Publisher version: https://doi.org/10.1093/biostatistics/kxx042
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Bayesian nonparametrics; Beta regression; Dependent random probability measures; Generalized Dirichlet process; Stick-breaking processes.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10026061
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