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Some properties of the ARMA control chart

  • W. Jiang
  • , K. L. Tsui

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

The ARMA chart is a unified family of statistical control charts proposed in Jiang et al. (2000). It is found that the ARMA chart may outperform other conventional charts for detecting mean shifts among autocorrelated processes. When designing the ARMA chart, it is important to determine the control limit of the chart for achieving a specified in-control average run length. In this paper, we study some general properties that relate the control limit to the average run length of the ARMA chart applied to both i.i.d. and autocorrelated processes.
Original languageEnglish
Pages (from-to)2073-2088
JournalNonlinear Analysis, Theory, Methods and Applications
Volume47
Issue number3
DOIs
Publication statusPublished - Aug 2001
Externally publishedYes
Event3rd World Congress of Nonlinear Analysts - Catania, Sicily, Italy
Duration: 19 Jul 200026 Jul 2000

Research Keywords

  • Autocorrelated Process
  • Average Run Length
  • Control Chart
  • Control Limits

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