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Cyber Risk Assessment and Mitigation (CRAM) Framework Using Logit and Probit Models for Cyber Insurance

Author

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  • Arunabha Mukhopadhyay

    (Indian Institute of Management Lucknow)

  • Samir Chatterjee

    (Claremont Graduate University)

  • Kallol K. Bagchi

    (University of Texas at El Paso)

  • Peteer J. Kirs

    (University of Texas at El Paso)

  • Girja K. Shukla

Abstract

Malicious external attackers commonly use cyber threats (such as virus attacks, denial-of-service (DoS) attacks, financial fraud, system penetration, and theft of proprietary information), while internal attackers resort to unauthorized access to compromise the confidentiality, integrity, and availability (CIA) of the data of individuals, organizations, and nations. This results in an opportunity cost, a loss of market capitalization, and a loss of brand equity for organizations. Organizations and nations spend a substantial portion of their information technology (IT) budgets on IT security (such as perimeter and core security technologies). Yet, security breaches are common. In this paper, we propose a cyber-risk assessment and mitigation (CRAM) framework to (i) estimate the probability of an attack using generalized linear models (GLM), namely logit and probit, and validate the same using Computer Security Institute–Federal Bureau of Investigation (CSI–FBI) time series data, (ii) predict security technology required to reduce the probability of attack to a given level in the next year, (iii) use gamma and exponential distribution to best approximate the average loss data for each malicious attack, (iv) calculate the expected loss due to cyber-attacks using collective risk modeling, (v) compute the net premium to be charged by cyber insurers to indemnify losses from a cyber-attack, and (vi) propose either cyber insurance or self-insurance, or self-protection, as a strategy for organizations to minimize losses.

Suggested Citation

  • Arunabha Mukhopadhyay & Samir Chatterjee & Kallol K. Bagchi & Peteer J. Kirs & Girja K. Shukla, 2019. "Cyber Risk Assessment and Mitigation (CRAM) Framework Using Logit and Probit Models for Cyber Insurance," Information Systems Frontiers, Springer, vol. 21(5), pages 997-1018, October.
  • Handle: RePEc:spr:infosf:v:21:y:2019:i:5:d:10.1007_s10796-017-9808-5
    DOI: 10.1007/s10796-017-9808-5
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    References listed on IDEAS

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    Cited by:

    1. Taylor Reynolds & Sarah Scheffler & Daniel J. Weitzner & Angelina Wu, 2024. "Mind the Gap: Securely modeling cyber risk based on security deviations from a peer group," Papers 2402.04166, arXiv.org.
    2. Hui, Kai-Lung & Zhou, Jiali, 2020. "The Economics of Hacking," MPRA Paper 102706, University Library of Munich, Germany.
    3. Kalpit Sharma & Arunabha Mukhopadhyay, 2023. "Cyber-risk Management Framework for Online Gaming Firms: an Artificial Neural Network Approach," Information Systems Frontiers, Springer, vol. 25(5), pages 1757-1778, October.
    4. Jae Kyu Lee & Younghoon Chang & Hun Yeong Kwon & Beopyeon Kim, 2020. "Reconciliation of Privacy with Preventive Cybersecurity: The Bright Internet Approach," Information Systems Frontiers, Springer, vol. 22(1), pages 45-57, February.
    5. Frank Cremer & Barry Sheehan & Michael Fortmann & Arash N. Kia & Martin Mullins & Finbarr Murphy & Stefan Materne, 2022. "Cyber risk and cybersecurity: a systematic review of data availability," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 47(3), pages 698-736, July.
    6. Alessandro Mazzoccoli & Maurizio Naldi, 2022. "An Overview of Security Breach Probability Models," Risks, MDPI, vol. 10(11), pages 1-29, November.
    7. Alessandro Mazzoccoli, 2023. "Optimal Cyber Security Investment in a Mixed Risk Management Framework: Examining the Role of Cyber Insurance and Expenditure Analysis," Risks, MDPI, vol. 11(9), pages 1-14, August.
    8. Rajan, Rishabh & Rana, Nripendra P. & Parameswar, Nakul & Dhir, Sanjay & Sushil, & Dwivedi, Yogesh K., 2021. "Developing a modified total interpretive structural model (M-TISM) for organizational strategic cybersecurity management," Technological Forecasting and Social Change, Elsevier, vol. 170(C).
    9. Avital Baral & Taylor Reynolds & Lawrence Susskind & Daniel J. Weitzner & Angelina Wu, 2024. "Municipal cyber risk modeling using cryptographic computing to inform cyber policymaking," Papers 2402.01007, arXiv.org, revised Feb 2024.
    10. Supunmali Ahangama, 2023. "Relating Social Media Diffusion, Education Level and Cybersecurity Protection Mechanisms to E-Participation Initiatives: Insights from a Cross-Country Analysis," Information Systems Frontiers, Springer, vol. 25(5), pages 1695-1711, October.
    11. Ben Krishna & Satish Krishnan & M. P. Sebastian, 2023. "Examining the Relationship between National Cybersecurity Commitment, Culture, and Digital Payment Usage: An Institutional Trust Theory Perspective," Information Systems Frontiers, Springer, vol. 25(5), pages 1713-1741, October.

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