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基于马尔可夫动态模型和聚类结构的网络保险定价。

Pricing of cyber insurance premiums using a Markov-based dynamic model with clustering structure.

机构信息

Statistics Research Division, Institut Teknologi Bandung, Bandung, West Java, Indonesia.

University Center of Excellence on Artificial Intelligence for Vision, Natural Language Processing & Big Data Analytics (U-CoE AI-VLB), Institut Teknologi Bandung, Bandung, West Java, Indonesia.

出版信息

PLoS One. 2021 Oct 26;16(10):e0258867. doi: 10.1371/journal.pone.0258867. eCollection 2021.

DOI:10.1371/journal.pone.0258867
PMID:34699537
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8547698/
Abstract

Cyber insurance is a risk management option to cover financial losses caused by cyberattacks. Researchers have focused their attention on cyber insurance during the last decade. One of the primary issues related to cyber insurance is estimating the premium. The effect of network topology has been heavily explored in the previous three years in cyber risk modeling. However, none of the approaches has assessed the influence of clustering structures. Numerous earlier investigations have indicated that internal links within a cluster reduce transmission speed or efficacy. As a result, the clustering coefficient metric becomes crucial in understanding the effectiveness of viral transmission. We provide a modified Markov-based dynamic model in this paper that incorporates the influence of the clustering structure on calculating cyber insurance premiums. The objective is to create less expensive and less homogenous premiums by combining criteria other than degrees. This research proposes a novel method for calculating premiums that gives a competitive market price. We integrated the epidemic inhibition function into the Markov-based model by considering three functions: quadratic, linear, and exponential. Theoretical and numerical evaluations of regular networks suggested that premiums were more realistic than premiums without clustering. Validation on a real network showed a significant improvement in premiums compared to premiums without the clustering structure component despite some variations. Furthermore, the three functions demonstrated very high correlations between the premium, the total inhibition function of neighbors, and the speed of the inhibition function. Thus, the proposed method can provide application flexibility by adapting to specific company requirements and network configurations.

摘要

网络保险是一种风险管理选择,可以弥补网络攻击造成的财务损失。在过去十年中,研究人员一直将注意力集中在网络保险上。与网络保险相关的主要问题之一是估计保费。在网络风险建模中,网络拓扑的影响在过去三年中得到了深入研究。然而,这些方法都没有评估聚类结构的影响。许多早期的研究表明,集群内部的内部链接会降低传输速度或效率。因此,聚类系数指标对于理解病毒传播的有效性变得至关重要。在本文中,我们提供了一种基于马尔可夫的修正动态模型,该模型将聚类结构对计算网络保险保费的影响纳入其中。目标是通过结合除度数以外的其他标准来制定更便宜和更少同质化的保费。本研究提出了一种计算保费的新方法,该方法提供了有竞争力的市场价格。我们通过考虑三个函数(二次函数、线性函数和指数函数)将传染病抑制函数纳入基于马尔可夫的模型中。对规则网络的理论和数值评估表明,与没有聚类的保费相比,考虑聚类结构的保费更符合实际情况。尽管存在一些差异,但在真实网络上进行的验证表明,与没有聚类结构部分的保费相比,保费有了显著提高。此外,这三个函数表明,保费、邻居的总抑制函数和抑制函数的速度之间具有非常高的相关性。因此,该方法可以通过适应特定公司的需求和网络配置提供应用灵活性。

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