Mixture cumulative count control chart for mixture geometric process characteristics

Muhammad Majeed (), Muhammad Aslam and Muhammad Riaz

Quality & Quantity: International Journal of Methodology, 2013, vol. 47, issue 4, 2289-2307

Abstract: 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. Copyright Springer Science+Business Media B.V. 2013

Keywords: ARL; CCC-chart; High yield process; MCCC-chart; Mixture models (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s11135-011-9656-1

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