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Comparing distributions using dependent normalized random measure mixtures
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Griffin, Jim E., Kolossiatis, Michalis and Steel, Mark F. J. (2010) Comparing distributions using dependent normalized random measure mixtures. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2010 (No.24).
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Official URL: http://www2.warwick.ac.uk/fac/sci/statistics/crism...
Abstract
A methodology for the simultaneous Bayesian nonparametric modelling of several distributions
is developed. Our approach uses normalized random measures with independent
increments and builds dependence through the superposition of shared processes. The properties
of the prior are described and the modelling possibilities of this framework are explored in
some detail. Efficient slice sampling methods are developed for inference. Various posterior
summaries are introduced which allow better understanding of the differences between distributions.
The methods are illustrated on simulated data and examples from survival analysis
and stochastic frontier analysis.
Item Type: | Working or Discussion Paper (Working Paper) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Library of Congress Subject Headings (LCSH): | Distribution (Probability theory), Random measures | ||||
Series Name: | Working papers | ||||
Publisher: | University of Warwick. Centre for Research in Statistical Methodology | ||||
Place of Publication: | Coventry | ||||
Official Date: | December 2010 | ||||
Dates: |
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Volume: | Vol.2010 | ||||
Number: | No.24 | ||||
Number of Pages: | 33 | ||||
Institution: | University of Warwick | ||||
Status: | Not Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Date of first compliant deposit: | 1 August 2016 | ||||
Date of first compliant Open Access: | 1 August 2016 |
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