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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ralha Tânia & Morais Manuel Cabral & Oliveira M. Rosário, 2015. "On Valid Signals in Joint Schemes for the Process Mean and Variance," Stochastics and Quality Control, De Gruyter, vol. 30(2), pages 99-110, December.
    • Handle: RePEc:bpj:ecqcon:v:30:y:2015:i:2:p:99-110:n:1
    DOI: 10.1515/eqc-2015-0001
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