Adaptive threshold computation for CUSUM-type procedures in change detection and isolation problems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Computational Statistics and Data Analysis Year : 2008

Adaptive threshold computation for CUSUM-type procedures in change detection and isolation problems

Abstract

Statistical methods dealing with change detection and isolation in dynamical systems are based on algorithms deriving from hypothesis testing. As for any statistical test, the problem of threshold choice has to be addressed by taking into account the constraints fixed by the supervisors and the nonstationary nature of the stochastic systems under supervision. A procedure for obtaining adaptive thresholds in change detection or diagnosis algorithms of CUSUM-type rules is proposed. This procedure is carried out through a large number of simulations. The advantage of such an adaptive threshold, when compared with a fixed threshold, is its adaptation to the time evolution of the probability distribution of the test statistic, in order to guarantee constant rates of false alarm or false diagnosis, fixed by the supervisor.

Dates and versions

hal-00857813 , version 1 (04-09-2013)

Identifiers

Cite

Ghislain Verdier, Nadine Hilgert, Jean-Pierre Vila. Adaptive threshold computation for CUSUM-type procedures in change detection and isolation problems. Computational Statistics and Data Analysis, 2008, 52 (9), pp.4161-4174. ⟨10.1016/j.csda.2008.01.026⟩. ⟨hal-00857813⟩
115 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More