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Conformal prediction for frequency-severity modeling

Helton Graziadei, Paulo C. Marques F, Eduardo F. L. de Melo and Rodrigo S. Targino

Journal of Applied Statistics, 2026, vol. 53, issue 9, 1628-1647

Abstract: We present a model-agnostic framework for the construction of prediction intervals of insurance claims, with finite sample statistical guarantees, extending the technique of split conformal prediction to the domain of two-stage frequency-severity modeling. The framework effectiveness is showcased with simulated and real datasets using classical parametric models and contemporary machine learning methods. When the underlying severity model is a random forest, we extend the two-stage split conformal prediction algorithm, showing how the out-of-bag mechanism can be leveraged to eliminate the need for a calibration set in the conformal procedure.

Date: 2026
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DOI: 10.1080/02664763.2025.2567988

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