Explainable boosting machine for predicting claim severity and frequency in car insurance

Abstract With the rapid development of machine learning and deep learning techniques, actuaries and the broader insurance industry face a persistent trade-off between predictive accuracy and interpretability. This paper provides a comprehensive applied assessment of Explainable Boosting Machines (EBM) in a car insurance framework, focusing on claim frequency and severity modeling. EBM combines the additive structure of generalized additive models (GAM) with a cyclic gradient boosting algorithm, resulting in a glass-box model whose predictions are interpretable by design. Using real-world data, we empirically illustrate its practical relevance and compare EBM with modern benchmark models used in non-life insurance pricing. The evaluation considers (i) out-of-sample predictive accuracy, including Murphy diagrams and Bregman dominance tests, and (ii) calibration assessment using T-reliability diagrams and Murphy’s score decomposition. Finally, we highlight the link between EBM predictions and Shapley values, showing how predictions can be transparently decomposed into exact main and pairwise interaction effects, providing actionable insights beyond predictive performance.

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Publication Details

Journal
European Actuarial Journal
Published
2026-07-16
DOI
https://doi.org/10.1007/s13385-026-00461-y
Primary Topic
Technology and Data Analysis
Type
article
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article

Explainable boosting machine for predicting claim severity and frequency in car insurance

Quentin Guibert, Nabil Rachdi, Marketa Krupova
European Actuarial Journal
Technology and Data Analysis
article

Explainable boosting machine for predicting claim severity and frequency in car insurance

Quentin Guibert, Nabil Rachdi, Marketa Krupova
article en

Abstract

Abstract With the rapid development of machine learning and deep learning techniques, actuaries and the broader insurance industry face a persistent trade-off between predictive accuracy and interpretability. This paper provides a comprehensive applied assessment of Explainable Boosting Machines (EBM) in a car insurance framework, focusing on claim frequency and severity modeling. EBM combines the additive structure of generalized additive models (GAM) with a cyclic gradient boosting algorithm, resulting in a glass-box model whose predictions are interpretable by design. Using real-world data, we empirically illustrate its practical relevance and compare EBM with modern benchmark models used in non-life insurance pricing. The evaluation considers (i) out-of-sample predictive accuracy, including Murphy diagrams and Bregman dominance tests, and (ii) calibration assessment using T-reliability diagrams and Murphy’s score decomposition. Finally, we highlight the link between EBM predictions and Shapley values, showing how predictions can be transparently decomposed into exact main and pairwise interaction effects, providing actionable insights beyond predictive performance.

European Actuarial Journal
Centre National de la Recherche Scientifique (FR), Centre de Recherche en Mathématiques de la Décision (FR), Université Paris Sciences et Lettres (FR), Institut du Fer à Moulin (FR), Université Paris Dauphine-PSL (FR)
Openalex Percentile: Top 100%
Technology and Data Analysis
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Explainable boosting machine for predicting claim severity and frequency in car insurance — Quentin Guibert, Nabil Rachdi, et al. · European Actuarial Journal (2026) | TGRS Research Map | TGRS