Distribution-Free Phase II Control Charts Based on Order Statistics with Runs-Rules

  • Ioannis S. TriantafyllouEmail author
  • Nikolaos I. Panayiotou


In this article, we introduce two nonparametric Shewhart-type control charts based on order statistics with signaling runs-type rules. The proposed monitoring schemes enhance the control charts established by Triantafyllou (2018). Exact formulae for the alarm rate, the variance of the run length distribution and the average run length (ARL) for both charts are all derived. Tables are provided for the implementation of the proposed schemes for some typical ARL-values. In addition, several numerical comparisons against competitive nonparametric control charts reveal that the new monitoring schemes, under different out-of-control situations, are quite efficient in detecting the shift of the underlying distribution.


Average run length Distribution-free control charts Lehmann alternatives Nonparametric methods Runs-type rules Statistical process control 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Ioannis S. Triantafyllou
    • 1
    Email author
  • Nikolaos I. Panayiotou
    • 1
  1. 1.Department of Computer Science & Biomedical InformaticsUniversity of ThessalyVolosGreece

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