On Valid Signals in Joint Schemes for the Process Mean and Variance

Ralha Tânia (), Morais Manuel Cabral () and Oliveira M. Rosário ()
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Ralha Tânia: Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
Morais Manuel Cabral: Department of Mathematics & CEMAT (Center for Computational and Stochastic Mathematics), Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
Oliveira M. Rosário: Department of Mathematics & CEMAT (Center for Computational and Stochastic Mathematics), Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Stochastics and Quality Control, 2015, vol. 30, issue 2, 99-110

Abstract: Joint schemes for the process mean and the variance are essential to determine if unusual variation in the location and spread of a quality characteristic occurred. This paper comprises a systematic study on the phenomena of misleading, unambiguous and simultaneous signals while dealing with Shewhart and EWMA joint schemes for the process mean and the variance of a normally distributed quality characteristic. Examples have been added to illustrate how the R statistical software can be used to assess the performance of joint schemes in practice, namely when it comes to the occurrence of those valid signals.

Keywords: Joint Schemes; Run Length; Valid Signals (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1515/eqc-2015-0001

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