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Hotelling’s T2 control chart with double warning lines

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Abstract

Recent studies have shown that the T 2 control chart with variable sampling intervals (VSI) and/or variable sample sizes (VSS) detects process shifts faster than the traditional T 2 chart. This article extends these studies for processes that are monitored with VSI and VSS using double warning lines (T 2 —DWL). It is assumed that the length of time the process remains in control has exponential distribution. The properties of T 2 —DWL chart are obtained using Markov chains. The results show that the T 2 —DWL chart is quicker than VSI and/or VSS charts in detecting almost all shifts in the process mean.

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Authors and Affiliations

  1. Quality Management Department, Aerospace Industries Organization, Tehran, Iran

    Alireza Faraz

  2. School of Mathematics, Statistics and Computer Science, University of Tehran, Theran, Iran

    Ahmad Parsian

Authors
  1. Alireza Faraz
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  2. Ahmad Parsian
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Faraz, A., Parsian, A. Hotelling’s T2 control chart with double warning lines. Statistical Papers 47, 569–593 (2006). https://doi.org/10.1007/s00362-006-0307-x

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  • DOI: https://doi.org/10.1007/s00362-006-0307-x

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