 Uncertainty in heteroscedastic Bayesian model averagingSébastien Jessup, Mélina Mailhot and Mathieu Pigeon Insurance: Mathematics and Economics, 2025, vol. 121, issue C, 63-78 Abstract: The literature concerning liability evaluation is very well developed. It is however almost exclusively devoted to the performance of singular models. Recently, a variant of Bayesian Model Averaging (BMA) has been used for the first time to combine outstanding claims models. BMA is a widely used tool for model combination using Bayesian inference. Different versions of an expectation-maximisation (EM) algorithm are frequently used to apply BMA. This algorithm however has the issue of convergence to a single model. In this paper, we propose a numerical error integration approach to address the problem of convergence in a heteroscedastic context. We also generalise the proposed error integration approach by considering weights as a Dirichlet random variable, allowing for weights to vary. We compare the proposed approaches through simulation studies and a Property & Casualty insurance simulated dataset. We discuss some advantages of the proposed methods. Keywords: Bayesian model averaging; Uncertainty estimation; Heteroscedasticity; Actuarial reserves (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:121:y:2025:i:c:p:63-78 DOI: 10.1016/j.insmatheco.2024.12.008 Access Statistics for this article Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu More articles in Insurance: Mathematics and Economics from Elsevier |
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