Math @ Duke

Publications [#258065] of David B. Dunson
search arxiv.org.Papers Published
 Dunson, DB; Park, JH, Kernel stickbreaking processes,
Biometrika, vol. 95 no. 2
(June, 2008),
pp. 307323, Oxford University Press (OUP), ISSN 00063444 [doi]
(last updated on 2019/06/16)
Abstract: We propose a class of kernel stickbreaking processes for uncountable collections of dependent random probability measures. The process is constructed by first introducing an infinite sequence of random locations. Independent random probability measures and betadistributed random weights are assigned to each location. Predictordependent random probability measures are then constructed by mixing over the locations, with stickbreaking probabilities expressed as a kernel multiplied by the beta weights. Some theoretical properties of the process are described, including a covariatedependent prediction rule. A retrospective Markov chain Monte Carlo algorithm is developed for posterior computation, and the methods are illustrated using a simulated example and an epidemiological application.© US Government/Department of Health and Human Services 2008.


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