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MATHEMATICAL ASSESSMENT OF CYBERSECURITY RISKS IN THE DIGITAL ECONOMY

Abdullayev Akmaljon Abdujalilovich
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers
Nurmatova Sevara Batirovna
Tashkent Perfect University
Published May 20, 2026
Issue Vol. 1 No. 1 (2026): Journal of Global Scientific Innovations
Pages 27-36
Open Access

Abstract

The rapid expansion of digital financial services creates both economic opportunity and systemic cybersecurity vulnerability. Quantifying the relationship between cyber-attack frequency, associated economic losses, and protective investment remains an open challenge in the literature. This paper introduces a straightforward mathematical framework — combining a loss function, an exponential risk-reduction model, and a return-on-security-investment (ROSI) formula — to measure and optimise cybersecurity spending in a digital economy context. The model is calibrated using empirical data from Uzbekistan's banking sector (2018–2023). Results show that a one-unit increase in the Cybersecurity Readiness Score (CRS) reduces expected annual losses by USD 3.4 million on average, and that the optimal security budget allocation lies between 8 % and 11 % of total IT expenditure. The framework offers financial institutions and regulators a transparent, data-grounded tool for evidence-based cybersecurity policy decisions.

Keywords: cybersecurity, digital economy, risk modelling, ROSI, financial systems, Uzbekistan, loss function, mathematical model.

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