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Joint statistical design of X¯ and s charts with combined double sampling and variable sampling interval

Pei-Hsi Lee

European Journal of Operational Research, 2013, vol. 225, issue 2, 285-297

Abstract: A combination of double sampling and variable sampling interval (DSVSI) charts can increase the efficiency of signaling small shifts. This study proposes joint DSVSI X¯ and s charts and investigates their statistical performance. The proposed approach uses a Markov chain approach to compute the statistical performance, and uses a statistical design model to design DSVSI X¯ and s charts for detecting the mean shift and variance increase. A comparison study shows that the DSVSI X¯ and s charts are better able to signal the shifts of both mean and variance than joint double sampling X¯ and s chart, adaptive X¯ and R charts, EWMA, and CUSUM charts.

Keywords: Quality control; Double sampling chart; Variable sampling interval chart; Joint X¯ and s chart; Markov chain (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:225:y:2013:i:2:p:285-297

DOI: 10.1016/j.ejor.2012.08.020

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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