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Related papers: Heavy-Tailed Distribution of Cyber-Risks

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Consider a generic data unit of random size L that needs to be transmitted over a channel of unit capacity. The channel availability dynamics is modeled as an i.i.d. sequence {A, A_i},i>0 that is independent of L. During each period of time…

Probability · Mathematics 2007-09-10 Predrag R. Jelenkovic , Jian Tan

Recently, increasing empirical evidence indicates the extensive existence of heavy tails in the interevent time distributions of various human behaviors. Based on the queuing theory, the Barab\'asi model and its variations suggest the…

Physics and Society · Physics 2008-07-26 Xiao-Pu Han , Tao Zhou , Bing-Hong Wang

It is very challenging to predict the cost of a cyber incident owing to the complex nature of cyber risk. However, it is inevitable for insurance companies who offer cyber insurance policies. The time to identifying an incident and the time…

Applications · Statistics 2022-09-27 Maochao Xu , Quynh Nhu Nguyen

Cyber threat intelligence is the provision of evidence-based knowledge about existing or emerging threats. Benefits from threat intelligence include increased situational awareness, efficiency in security operations, and improved…

Cryptography and Security · Computer Science 2023-08-29 Vasileios Mavroeidis , Siri Bromander

Convolutional neural networks have achieved great improvement on face recognition in recent years because of its extraordinary ability in learning discriminative features of people with different identities. To train such a well-designed…

Computer Vision and Pattern Recognition · Computer Science 2016-11-29 Xiao Zhang , Zhiyuan Fang , Yandong Wen , Zhifeng Li , Yu Qiao

Online social networks are increasingly being utilized for collective sense making and information processing in disasters. However, the underlying mechanisms that shape the dynamics of collective intelligence in online social networks…

Social and Information Networks · Computer Science 2024-12-24 Chao Fan , Fangsheng Wu , Ali Mostafavi

Motivated by the empirical observation of power-law distributions in the credits (e.g., ``likes'') of viral posts in social media, we introduce a high-dimensional tail index regression model and propose methods for estimation and inference…

Machine Learning · Statistics 2026-01-19 Yuya Sasaki , Jing Tao , Yulong Wang

Given the importance of privacy, many Internet protocols are nowadays designed with privacy in mind (e.g., using TLS for confidentiality). Foreseeing all privacy issues at the time of protocol design is, however, challenging and may become…

Networking and Internet Architecture · Computer Science 2022-09-21 Olivier van der Toorn , Raffaele Sommese , Anna Sperotto , Roland van Rijswijk-Deij , Mattijs Jonker

Social Media is a cyber-security risk for every business. What do people share on the Internet? Almost everything about oneself is shared: friendship, demographics, family, activities, and work-related information. This could become a…

Social and Information Networks · Computer Science 2021-03-09 Guerrino Mazzarolo , Juan Carlos Fernandez Casas , Anca Delia Jurcut , Nhien-AnLe-Khac

Statistics about traffic flow and people's movement gathered from multiple geographical locations in a distributed manner are the driving force powering many applications, such as traffic prediction, demand prediction, and restaurant…

Cryptography and Security · Computer Science 2024-02-20 Tatsuki Koga , Casey Meehan , Kamalika Chaudhuri

We introduce a statistical model for operational losses based on heavy-tailed distributions and bipartite graphs, which captures the event type and business line structure of operational risk data. The model explicitly takes into account…

Risk Management · Quantitative Finance 2019-02-11 Oliver Kley , Claudia Klüppelberg , Sandra Paterlini

Distributed Denial of Service (DDoS) attacks have become more prominent recently, both in frequency of occurrence, as well as magnitude. Such attacks render key Internet resources unavailable and disrupt its normal operation. It is…

Cryptography and Security · Computer Science 2014-12-22 Michael Kallitsis , Stilian Stoev , George Michailidis

Cybersecurity risk is commonly expressed through impact and likelihood, yet likelihood remains difficult to estimate because cyber incidents are underreported, heterogeneous datasets are weakly comparable, and attacker behaviour changes…

Heavy-tailed phenomena appear across diverse domains --from wealth and firm sizes in economics to network traffic, biological systems, and physical processes-- characterized by the disproportionate influence of extreme values. These…

Statistics Theory · Mathematics 2025-11-10 Hamidreza Maleki Almani

Cyber risk refers to the risk of defacing reputation, monetary losses, or disruption of an organization or individuals, and this situation usually occurs by the unconscious use of cyber systems. The cyber risk is unhurriedly increasing day…

Cryptography and Security · Computer Science 2024-04-02 Fatama Tuz Johora , Md Shahedul Islam Khan , Esrath Kanon , Mohammad Abu Tareq Rony , Md Zubair , Iqbal H. Sarker

It was observed that the number of cases and deaths for infectious diseases were associated with heavy-tailed power law distributions such as the Pareto distribution. While Pareto distribution was widely used to model the cases and deaths…

Methodology · Statistics 2023-09-29 Bowen Liu , Malwane M. A. Ananda

Power-law probability distributions are widely used to model extreme statistical events in complex systems, with applications to a vast array of natural phenomena ranging from earthquakes to stock market crashes to pandemics. We show that…

Quantum Physics · Physics 2026-04-08 Wai-Keong Mok

Understanding the shape of a distribution of data is of interest to people in a great variety of fields, as it may affect the types of algorithms used for that data. We study one such problem in the framework of distribution property…

Machine Learning · Computer Science 2022-12-06 Maryam Aliakbarpour , Amartya Shankha Biswas , Kavya Ravichandran , Ronitt Rubinfeld

Over the last few decades power law distributions have been suggested as forming generative mechanisms in a variety of disparate fields, such as, astrophysics, criminology and database curation. However, fitting these heavy tailed…

Computation · Statistics 2014-08-26 Colin S. Gillespie

The size distribution of planned and forced outages and following restoration times in power systems have been studied for almost two decades and has drawn great interest as they display heavy tails. Understanding of this phenomenon has…

Statistical Mechanics · Physics 2023-08-09 Bálint Hartmann , Shengfeng Deng , Géza Ódor , Jeffrey Kelling