Anomaly Detection For Markov Models

        An anomaly-detection scheme is presented here in which the monitored process is modeled as a Markov chain. It generates an alarm depending on the likelihoods that the monitored process exhibits intrusive behavior or normal behavior. The scheme maximizes the true alarm rate such the fraction of alarms which are false does not exceed a given limit. The false alarm rate can be computed based on a model of normal behavior, which can be extracted from a sample of normal behavior. The true alarm rate, on the other hand, requires a model of intrusive behavior, even though samples of intrusive behavior are not widely available. Instead, a novel game-theoretical approach is used to model intrusive behavior also based on the sample of normal behavior. The uncertainties in both models are approximated by normal distribution, which simplifies the analysis and provides more insight.

By: Mehdi Nassehi

Published in: RZ3011 in 1998

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