A class of shrinkage priors for the dependence structure in longitudinal data

We review a general class of priors for the dependence in longitudinal (temporal) data in settings where a parametric form is often assumed and place them in the context of the literature. The idea is to embed priors on the parameters of the structure within a richer, more flexible class of priors. These priors are shown to contain standard objective priors for structured and unstructured dependence models as special cases under certain conditions and parameterizations. Recommendations and specific details regarding their use are provided.