Power prior distributions for generalized linear models

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The relationship between the power prior and hierarchical models (2006, background): “One of the most useful applications of the power prior is for model selection problems since it inherently automates the informative prior specification for all possible models in the model space (see (Chen et al. 1999b), (Ibrahim et al. 1999), and (Ibrahim and Chen 2000)).”
The Power Prior: Theory and Applications (2015, background): “[14] established general results for GLMs, and Chen et al.”