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Large Deviations for Mixtures


 
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1. Title Title of document Large Deviations for Mixtures
 
2. Creator Author's name, affiliation, country J. D. Biggins; The University of Sheffield, UK
 
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4. Description Abstract The results discussed here are most easily described in words using Bayesian terminology. For each $n$, there are probability distributions for the data conditional on a parameter, and there is also a prior distribution for the parameter. Integrating out, using the prior, gives the (unconditional) distribution for the data, for each $n$. The question considered here is when large deviation principles for the conditional distributions and for the prior distributions imply a large deviation principle for the unconditional distributions. Chaganty (1997) also considered this question, but under stronger assumptions. The treatment here follows that of Dinwoodie and Zabell (1992) who, motivated by exchangeability, considered the case where the prior does not vary with $n$.
 
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7. Date (YYYY-MM-DD) 2004-06-09
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1106
 
10. Identifier Digital Object Identifier 10.1214/ECP.v9-1106
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 9
 
12. Language English=en
 
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