Modeling Abstraction Hierarchy Levels of the Cyber Attacks Using Random Process

Gilles Durrieu (1) , Emmanuel Frénod (1) , Thierry Morineau (2) , Thong Nguyen (1)

1 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique
2 LP3C - EA1285 - Laboratoire de Psychologie : Cognition, Comportement, Communication

Aspects of human behavior in cyber security allow more natural security to the user. This research focuses the appearance of anticipating cyber threats and their abstraction hierarchy levels on the mental picture levels of human. The study concerns the modeling of the behaviors of mental states of an individual under cyber attacks. The mental state of agents being not observable, we propose a non-stationary hidden Markov chain approach to model the agent mental behaviors. A renewal process based on a nonparametric estimation is also considered to investigate the spending time in a given mental state. In these approaches, the effects of the complexity of the cyber attacks are tak-en into account in the models.

Mots clés: Renewal Process; Nonparametric Estimation; Hidden Markov Chain; Abstraction Hierarchy; Cyber Attacks

Domaines: Applications [stat.AP]; Statistiques [math.ST]

Gilles Durrieu, Emmanuel Frénod, Thierry Morineau, Thong Nguyen. Modeling Abstraction Hierarchy Levels of the Cyber Attacks Using Random Process. Open Journal of Statistics, 2017, 07 (03), pp.500 - 520. ⟨10.4236/ojs.2017.73035⟩. ⟨hal-01670520⟩