Monitoring procedure for parameter change in causal time series - Archive ouverte HAL Access content directly
Journal Articles Journal of Multivariate Analysis Year : 2014

Monitoring procedure for parameter change in causal time series


We propose a new sequential procedure to detect change in the parameters of a process $ X= (X_t)_{t\in \Z}$ belonging to a large class of causal models (such as AR($\infty$), ARCH($\infty$), TARCH($\infty$), ARMA-GARCH processes). The procedure is based on a difference between the historical parameter estimator and the updated parameter estimator, where both these estimators are based on a quasi-likelihood of the model. Unlike classical recursive fluctuation test, the updated estimator is computed without the historical observations. The asymptotic behavior of the test is studied and the consistency in power as well as an upper bound of the detection delay are obtained. Some simulation results are reported with comparisons to some other existing procedures exhibiting the accuracy of our new procedure. The procedure is also applied to the daily closing values of the Nikkei 225, S$\&$P 500 and FTSE 100 stock index. We show in this real-data applications how the procedure can be used to solve off-line multiple breaks detection.
Fichier principal
Vignette du fichier
Online_change-point37.pdf (388.63 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00734210 , version 1 (21-09-2012)
hal-00734210 , version 2 (21-02-2013)



Jean-Marc Bardet, William Charky Kengne. Monitoring procedure for parameter change in causal time series. Journal of Multivariate Analysis, 2014, 125, pp.204-221. ⟨10.1016/j.jmva.2013.12.004⟩. ⟨hal-00734210v2⟩
240 View
215 Download



Gmail Facebook Twitter LinkedIn More