A Conjugate Prior for Discrete Hierarchical Log-linear Models

@inproceedings{Massam2009ACP,
  title={A Conjugate Prior for Discrete Hierarchical Log-linear Models},
  author={H{\'e}l{\`e}ne Massam and Jinnan Liu and Adrian Dobra},
  year={2009}
}
In Bayesian analysis of multi-way contingency tables, the selection of a prior distribution for either the log-linear parameters or the cell probabilities parameters is a major challenge. In this paper, we define a flexible family of conjugate priors for the wide class of discrete hierarchical log-linear models, which includes the class of graphical models. These priors are defined as the Diaconis–Ylvisaker conjugate priors on the log-linear parameters subject to “baseline constraints” under… CONTINUE READING
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