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Misspecified and Asymptotically Minimax Robust Quickest Change Diagnosis (2004.09748v1)

Published 21 Apr 2020 in eess.SY, cs.SY, math.ST, and stat.TH

Abstract: The problem of quickly diagnosing an unknown change in a stochastic process is studied. We establish novel bounds on the performance of misspecified diagnosis algorithms designed for changes that differ from those of the process, and pose and solve a new robust quickest change diagnosis problem in the asymptotic regime of few false alarms and false isolations. Simulations suggest that our asymptotically robust solution offers a computationally efficient alternative to generalised likelihood ratio algorithms.

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