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Activity Number: 56
Type: Topic Contributed
Date/Time: Sunday, August 6, 2006 : 4:00 PM to 5:50 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #306924
Title: Bayesian Synthesis
Author(s): Qingzhao Yu*+ and Steven N. MacEachern and Mario Peruggia
Companies: The Ohio State University and The Ohio State University and The Ohio State University
Address: 631 Cuyahoga Court, Columbus, OH, 43210,
Keywords: automatic modeling ; data-splitting ; human intervention ; model averaging ; ozone ; sparse model
Abstract:

In implementing Bayesian analysis, we face the problem of using data multiple times. We select a model and obtain the posterior distribution using the same set of data. When several analysts model the same data, we wish to combine the models efficiently, which should provide improved predictive performance. This paper tackles these problems via a novel modeling method based on data-splitting. In implementing this method, several data analysts work independently on portions of a dataset, constructing separate models that are updated eventually and combined through Bayesian model averaging. This paper provides theoretical results that characterize general conditions under which data-splitting results in improved estimation. Application of the method to a popular, real dataset shows predictive performance superior to that of many popular automatic modeling techniques.


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