Multi-variate quickest detection of significant change process

  • Authors:
  • Krzysztof Szajowski

  • Affiliations:
  • Institute of Mathematics and Computer Science, Wrocław University of Technology, Wrocław, Poland

  • Venue:
  • GameSec'11 Proceedings of the Second international conference on Decision and Game Theory for Security
  • Year:
  • 2011

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Abstract

The paper deals with a mathematical model of a surveillance system based on a net of sensors. The signals acquired by each node of the net are Markovian process, have two different transition probabilities, which depends on the presence or absence of a intruder nearby. The detection of the transition probability change at one node should be confirmed by a detection of similar change at some other sensors. Based on a simple game the model of a fusion center is then constructed. The aggregate function defined on the net is the background of the definition of a non-cooperative stopping game which is a model of the multivariate disorder detection.