ON THE RUN LENGTH OF A STATE-SPACE CONTROL CHART FOR MULTIVARIATE AUTOCORRELATED DATA
Résumé
The literature on statistical process control (SPC) describes the negative effects of autocorrelation in terms of false alarms. This has been treated by the individual modelling of each series or the application of VAR models. In the former case, the analysis of the cross correlation structure between the variables is altered. In the latter, the filtering process can modify the weakest relations. In order to improve these aspects, state-space models have been introduced in MSPC. This paper presents a proposal for building a innovations control chart, estimating its average run length to highlight its advantages over the VAR approach.
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