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

  • Tânia Ralha , Manuel Cabral Morais EMAIL logo and M. Rosário Oliveira
Published/Copyright: October 20, 2015
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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.

MSC: 62P30

Funding source: FCT (Fundação para a Ciência e a Tecnologia)

Award Identifier / Grant number: PEst-OE/MAT/UI0822/2014, PEst-OE/MAT/UI4080/2014

Received: 2015-6-17
Revised: 2015-10-3
Accepted: 2015-10-5
Published Online: 2015-10-20
Published in Print: 2015-12-1

© 2015 by De Gruyter

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