Approximately sufficient statistics and bayesian computation.
Approximately sufficient statistics and bayesian computation.
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DOI:
10.2202/1544-6115.1389
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发表时间:
2008-01-01
影响因子:
0.9
通讯作者:
Marjoram, Paul
中科院分区:
文献类型:
--
作者:
Joyce, Paul;Marjoram, Paul
The analysis of high-dimensional data sets is often forced to rely upon well-chosen summary statistics. A systematic approach to choosing such statistics, which is based upon a sound theoretical framework, is currently lacking. In this paper we develop a sequential scheme for scoring statistics according to whether their inclusion in the analysis will substantially improve the quality of inference. Our method can be applied to high-dimensional data sets for which exact likelihood equations are not possible. We illustrate the potential of our approach with a series of examples drawn from genetics. In summary, in a context in which well-chosen summary statistics are of high importance, we attempt to put the 'well' into 'chosen.'