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- Title
Estimating the change point of the parameter vector of multivariate Poisson processes monitored by a multi-attribute T control chart.
- Authors
Niaki, Seyed; Khedmati, Majid
- Abstract
When a control chart signals an out-of-control condition, knowing when the process has really changed (the change point) accelerates the identification of the source of special causes and makes the corrective measures to be taken sooner. In this paper, a new multi-attribute T control chart based on two transformation methods is initially proposed to monitor the parameter vector of multi-attribute Poisson processes. Then, the maximum likelihood estimators (MLE) of the process change point designed for both linear trend and step change disturbances are derived. Next, using Monte Carlo simulation, we show the performances of the proposed estimators are satisfactory. Finally, through performance comparisons, we conclude the MLE of the change point designed for linear trends outperforms the MLE designed for step changes when a linear trend disturbance is present and conversely, the MLE of the change point designed for step changes outperforms the MLE designed for linear trend disturbances when the real change type is step change.
- Subjects
PARAMETER estimation; MULTIVARIATE analysis; POISSON processes; QUALITY control charts; SYSTEM identification; SIGNAL processing; MAXIMUM likelihood statistics
- Publication
International Journal of Advanced Manufacturing Technology, 2013, Vol 64, Issue 9-12, p1625
- ISSN
0268-3768
- Publication type
Article
- DOI
10.1007/s00170-012-4128-x