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arXiv · 2504.21122

Graphical models with marginals in the exponential family

Luis E. Nieto-Barajas·Simón Lunagómez
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Abstract

Graphical models encode conditional independence statements of a multivariate distribution via a graph. Traditionally, the marginal distributions in a graphical model are assumed to be Gaussian. In this paper, we propose a three-level hierarchical model that functions as the hyper-Markov law that enables a graphical model with marginals in the exponential family with quadratic variance function. Inference on the model parameters is made using a Bayesian approach. We perform a simulation study and real data analyses to illustrate the usefulness of our models.

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Luis E. Nieto-Barajas, Simón Lunagómez. 2025-04-29. Graphical models with marginals in the exponential family. https://arxiv.org/abs/2504.21122

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