English

Misspecified and Asymptotically Minimax Robust Quickest Change Diagnosis

Systems and Control 2020-04-22 v1 Systems and Control Statistics Theory Statistics Theory

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.

Keywords

Cite

@article{arxiv.2004.09748,
  title  = {Misspecified and Asymptotically Minimax Robust Quickest Change Diagnosis},
  author = {Timothy L. Molloy},
  journal= {arXiv preprint arXiv:2004.09748},
  year   = {2020}
}

Comments

19 pages, 2 figures, Accepted for publication in IEEE Transactions on Automatic Control