Misleading signals in simultaneous residual schemes for the mean and variance of a stationary process
Publication date
2009-08-20
Document type
Forschungsartikel
Author
Organisational unit
Advanced Mask Technology Center (AMTC), Dresden
Scopus ID
Publisher
Taylor & Francis
Series or journal
Communications in Statistics: Theory and Methods
ISSN
Periodical volume
38
Periodical issue
16-17
First page
2923
Last page
2943
Part of the university bibliography
Nein
Language
English
Keyword
Misleading signals
Simultaneous schemes
Statistical process control
Time series
Abstract
The performance assessment of simultaneous surveillance schemes for the process mean () and variance (2) requires a special performance measure, in addition to the average run length. It refers to two events which can be likely to happen when such schemes are at use: the individual chart for triggers a signal before the one for 2, even though the process mean is on-target and the variance is off-target; the constituent chart for 2 triggers a signal before the one for , although the variance is in-control and the process mean is out-of-control. These are called misleading signals since they correspond to a misinterpretation of a mean (variance) change as a shift in the process variance (mean) and can lead the quality control operator or engineer to a misdiagnosis of assignable causes and to deploy incorrect actions to bring the process back to target. This article discusses the impact of autocorrelation on the probability of misleading signals of simultaneous Shewhart and EWMA residual schemes for the mean and variance of a stationary process.
Version
Published version
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