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Journal Articles

Easily Computed Marginal Likelihoods from Posterior Simulation Using the THAMES Estimator

Published in Bayesian Analysis, 2024

We propose an easily computed estimator of the marginal likelihood from posterior simulation output, via reciprocal importance sampling, combining earlier proposals of DiCiccio et al (1997) and Robert and Wraith (2009).

Recommended citation: Martin Metodiev, Marie Perrot-Dockès, Sarah Ouadah, Nicholas J. Irons, Pierre Latouche, Adrian E. Raftery. "Easily Computed Marginal Likelihoods from Posterior Simulation Using the THAMES Estimator." Bayesian Analysis, 20(3) 1003-1030 September 2025.
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Preprints

Easily Computed Marginal Likelihoods for Multivariate Mixture Models Using the THAMES Estimator

Published in arXiv, 2025

We present a new version of the truncated harmonic mean estimator (THAMES) for univariate or multivariate mixture models.

Recommended citation: Martin Metodiev, Nicholas J. Irons, Marie Perrot-Dockès, Pierre Latouche, Adrian E. Raftery. "Easily Computed Marginal Likelihoods for Multivariate Mixture Models Using the THAMES Estimator." arXiv preprint arXiv:2504.21812.
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The Principle of Redundant Reflection

Published in arXiv, 2025

The fact that redundant information does not change a rational belief after Bayesian updating implies uniqueness of Bayes rule.

Recommended citation: Metodiev, M., Marsman, M., Waldorp, L., Gronau, Q. F., & Wagenmakers, E. J. (2025). The Principle of Redundant Reflection. arXiv preprint arXiv:2503.21719.
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A Structured Estimator for large Covariance Matrices in the Presence of Pairwise and Spatial Covariates

Published in arXiv, 2024

We consider the problem of estimating a high-dimensional covariance matrix from a small number of observations when covariates on pairs of variables are available and the variables can have spatial structure.

Recommended citation: Metodiev, M., Perrot-Dockès, M., Ouadah, S., Fosdick, B. K., Robin, S., Latouche, P., & Raftery, A. E. (2024). A Structured Estimator for large Covariance Matrices in the Presence of Pairwise and Spatial Covariates. arXiv preprint arXiv:2411.04520.
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Softwares

thamesmix (R package): Truncated Harmonic Mean Estimator of the Marginal Likelihood for Mixtures

Published in CRAN, 2025

Implements the truncated harmonic mean estimator (THAMES) of the reciprocal marginal likelihood for uni- and multivariate mixture models using posterior samples and unnormalized log posterior values via reciprocal importance sampling.

Recommended citation: Metodiev M, Irons N, Perrot-Dockès M (2025). _thamesmix: Truncated Harmonic Mean Estimator of the Marginal Likelihood for Mixtures_. R package version 0.1.2, commit 5bf05daec1f8922589f6cb53eec54b0c8cb07716, .
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thames (R package): Truncated Harmonic Mean Estimator of the Marginal Likelihood

Published in CRAN, 2025

Implements the truncated harmonic mean estimator (THAMES) of the reciprocal marginal likelihood using posterior samples and unnormalized log posterior values via reciprocal importance sampling.

Recommended citation: Irons N, Perrot-Dockès M, Metodiev M (2025). _thames: Truncated Harmonic Mean Estimator of the Marginal Likelihood_. doi:10.32614/CRAN.package.thames , R package version 0.1.2,
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