Simultaneous Surveillance of Means and Covariances of Spatial Models

  • Robert Garthoff
  • Philipp OttoEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 122)


This paper deals with the problem of statistical process control applied to multivariate spatial models. After introducing the target process that coincides with the spatial white noise, we concentrate on the out-of-control behavior taking into account both changes in means and covariances. Moreover, we propose conventional multivariate control charts either based on exponential smoothing or cumulative sums to monitor means and covariances simultaneously. Via Monte Carlo simulation the proposed control schemes are calibrated. Moreover, their out-of-control behavior is studied for specific mean shifts and scale transformation.


Control Chart Spatial Model Statistical Process Control Target Process CUSUM Chart 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.European University ViadrinaFrankfurt (Oder)Germany

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