Artigo Acesso aberto Revisado por pares

Marginal Likelihood Computation for Model Selection and Hypothesis Testing: An Extensive Review

2023; Society for Industrial and Applied Mathematics; Volume: 65; Issue: 1 Linguagem: Inglês

10.1137/20m1310849

ISSN

1095-7200

Autores

Fernando Llorente, Luca Martino, David Delgado‐Gómez, J. López‐Santiago,

Tópico(s)

Statistical Methods and Bayesian Inference

Resumo

This is an up-to-date introduction to, and overview of, marginal likelihood computation for model selection and hypothesis testing. Computing normalizing constants of probability models (or ratios of constants) is a fundamental issue in many applications in statistics, applied mathematics, signal processing, and machine learning. This article provides a comprehensive study of the state of the art of the topic. We highlight limitations, benefits, connections, and differences among the different techniques. Problems and possible solutions with the use of improper priors are also described. Some of the most relevant methodologies are compared through theoretical comparisons and numerical experiments.

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