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A generalized change detection problem

Abstract : The purpose of this paper is to give a new statistical approach to the change diagnosis (detection/isolation) problem. The change detection problem has received extensive research attention; however, the change isolation problem has, for the most part, been ignored. We consider a stochastic dynamical system with abrupt changes and investigate the multiple hypotheses extension of Lorden's (1971) results. We introduce a joint criterion of optimality for the detection/isolation problem and then design a change detection/isolation algorithm. We also investigate the statistical properties of this algorithm. We prove a lower bound for the criterion in a class of sequential change detection/isolation algorithms. It is shown that the proposed algorithm is asymptotically optimal in this class. The theoretical results are applied to the case of additive changes in linear stochastic models.
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https://hal-utt.archives-ouvertes.fr/hal-02881347
Contributor : Jean-Baptiste Vu Van <>
Submitted on : Thursday, June 25, 2020 - 3:58:57 PM
Last modification on : Tuesday, July 14, 2020 - 11:04:10 AM

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Igor Nikiforov. A generalized change detection problem. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 1995, 41 (1), pp.171-187. ⟨10.1109/18.370109⟩. ⟨hal-02881347⟩

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