Quality & Quantity

, Volume 47, Issue 4, pp 2289–2307 | Cite as

Mixture cumulative count control chart for mixture geometric process characteristics

  • Muhammad Younas Majeed
  • Muhammad Aslam
  • Muhammad Riaz


A statistical process control chart named the mixture cumulative count control chart (MCCC-chart) is suggested in this study, motivated by an existing control chart named cumulative count control chart (CCC-chart). The MCCC-chart is constructed based on the distribution function of a two component mixture of geometric distributions using the number of items inspected until a defective item is observed ‘n’ as plotting statistics. We have observed that the MCCC-chart has the ability to perform equivalent to the CCC-chart when number of defective items follows geometric distribution and better than the CCC-chart when the number of defective items produced by a process follows a mixture geometric model. The MCCC-chart may be considered as a generalized version of CCC-chart.


ARL CCC-chart High yield process MCCC-chart Mixture models 


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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  • Muhammad Younas Majeed
    • 1
  • Muhammad Aslam
    • 1
  • Muhammad Riaz
    • 1
    • 2
  1. 1.Department of StatisticsQuaid-i-Azam UniversityIslamabadPakistan
  2. 2.Department of Mathematics and StatisticsKing Fahad University of Petroleum and MineralsDhahranSaudi Arabia

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