Cyber risk modeling within the SIR epidemic framework: a comparative analysis of frequency and severity methods

Rong He et al.

Annals of Actuarial Science2026https://doi.org/10.1017/s1748499525100225article
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Abstract

This paper addresses the gap between theoretical modeling of cyber risk propagation and empirical analysis of loss characteristics by introducing a novel approach that integrates both approaches. We model the development of cyber loss counts over time using a discrete-time susceptible-infected-recovered process, linking these counts to covariates, and modeling loss severity with regression models. By incorporating temporal and covariate-dependent transition rates, we eliminate the scaling effect of population size on infection counts, revealing the true underlying dynamics. Simulations show that this susceptible-infected-recovered framework significantly improves aggregate loss prediction accuracy, providing a more effective and practical tool for actuarial assessments and risk management in the cyber risk context.

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https://doi.org/https://doi.org/10.1017/s1748499525100225

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@article{rong2026,
  title        = {{Cyber risk modeling within the SIR epidemic framework: a comparative analysis of frequency and severity methods}},
  author       = {Rong He et al.},
  journal      = {Annals of Actuarial Science},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1017/s1748499525100225},
}

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Cyber risk modeling within the SIR epidemic framework: a comparative analysis of frequency and severity methods

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