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In the article some features of multivariate statistical process control were introduced. Advantages and disadvantages of multivariate control charts (Hotelling charts) - counterpart of traditional Shewhart control charts in multivariate space - were also shown. The author pointed out the advantage of Hotelling charts over traditional ones in some situations. The main part of the paper is a multivariate surveillance procedure based on the division on two stages: Phase I (phase of stabilization) and Phase II (phase of monitoring). After describing some elements of multivariate statistical process control implementation (considered from the methodological point of view) author introduced two most popular control charts used in industrial practice: control charts for individual observations and for means. The article is summarized by some author's conclusions concerning popularity of multivariate surveillance and future directions of his work.
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