Bayesian Nowcasting Data Breach IBNR Incidents

Maochao Xu, Hong Sun, Peng Zhao
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Abstract

The reporting delay in data breach incidents poses a formidable challenge for Incurred But Not Reported (IBNR) studies, complicating reserve estimation for actuarial professionals. This work presents a novel Bayesian nowcasting model designed to accurately model and predict the number of IBNR data breach incidents. Leveraging a Bayesian modeling framework, the model integrates time and heterogeneous effects to enhance predictive accuracy. Synthetic and empirical studies demonstrate the superior performance of the proposed model, highlighting its efficacy in addressing the complexities of IBNR estimation. Furthermore, we examine reserve estimation for IBNR incidents using the proposed model, shedding light on its implications for actuarial practice.
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贝叶斯预测数据泄露 IBNR 事件
数据泄露事件的报告延迟给 "已发生但未报告"(IBNR)研究带来了巨大挑战,使精算专业人员的准备金估算变得更加复杂。本研究提出了一种新颖的贝叶斯预测模型,旨在对 IBNR 数据泄露事件的数量进行精确建模和预测。利用贝叶斯建模框架,该模型整合了时间和异质效应,以提高预测的准确性。合成和实证研究证明了该模型的优越性能,突出了其在解决 IBNR 估算复杂性方面的功效。此外,我们还利用该模型研究了 IBNR 事件的准备金估算,阐明了其对精算实践的影响。
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