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- Title
Kernel stick-breaking processes.
- Authors
David B. Dunson; Ju-Hyun Park
- Abstract
We propose a class of kernel stick-breaking 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 beta-distributed random weights are assigned to each location. Predictor-dependent random probability measures are then constructed by mixing over the locations, with stick-breaking probabilities expressed as a kernel multiplied by the beta weights. Some theoretical properties of the process are described, including a covariate-dependent 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.
- Publication
Biometrika, 2008, Vol 95, Issue 2, p307
- ISSN
0006-3444
- Publication type
Academic Journal
- DOI
10.1093/biomet/asn012