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Stochastic Analysis of Cyber-Attacks

Nicholas J. Daras ()
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Nicholas J. Daras: Hellenic Military Academy

A chapter in Applications of Mathematics and Informatics in Science and Engineering, 2014, pp 105-129 from Springer

Abstract: Abstract After studying the stochastic process of cyber-attacks against a cyber system, we investigate the set of intermediate times between successive cyber-attacks. Then, we give basic definitions and properties on the expected number of cyber-attacks in a closed time interval and present renewal theorems, as well as a description of exact and asymptotic probability distributions for the main occurrence moments of cyber-attacks. Further, we outline stationary renewal processes of cyber-attacks. The paper concludes with asymptotic properties for the counting function of cyber-attacks.

Keywords: Information security; Density function; Distribution; Exponential distribution (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-04720-1_7

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DOI: 10.1007/978-3-319-04720-1_7

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