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|a 10.1080/02664763.2020.1759033
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|a eng
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|a Shongwe, Sandile Charles
|e verfasserin
|4 aut
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|a A combined mixed-s-skip sampling strategy to reduce the effect of autocorrelation on the X̄ scheme with and without measurement errors
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|c 2021
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|a Text
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|a ƒaComputermedien
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|a ƒa Online-Ressource
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|a Date Revised 26.08.2024
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|a published: Electronic-eCollection
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|a ErratumIn: J Appl Stat. 2020 Aug 10;48(7):i. doi: 10.1080/02664763.2020.1807783. - PMID 35709097
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|a Citation Status PubMed-not-MEDLINE
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|a © 2020 Informa UK Limited, trading as Taylor & Francis Group.
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|a In order to reduce the effect of autocorrelation on the X ¯ monitoring scheme, a new sampling strategy is proposed to form rational subgroup samples of size n. It requires sampling to be done such that: (i) observations from two consecutive samples are merged, and (ii) some consecutive observations are skipped before sampling. This technique which is a generalized version of the mixed samples strategy is shown to yield a better reduction of the negative effect of autocorrelation when monitoring the mean of processes with and without measurement errors. For processes subjected to a combined effect of autocorrelation and measurement errors, the proposed sampling technique, together with multiple measurement strategy, yields an uniformly better zero-state run-length performance than its two main existing competitors for any autocorrelation level. However, in steady-state mode, it yields the best performance only when the monitoring process is subject to a high level of autocorrelation, for any given level of measurement errors. A real life example is used to illustrate the implementation of the proposed sampling strategy
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|a Journal Article
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|a Autocorrelation
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|a measurement errors
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|a mixed samples strategy
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|a multiple measurements
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|a skipping sampling strategy
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|a steady-state
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|a zero-state
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|a Malela-Majika, Jean-Claude
|e verfasserin
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|a Castagliola, Philippe
|e verfasserin
|4 aut
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|i Enthalten in
|t Journal of applied statistics
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|g 48(2021), 7 vom: 01., Seite 1243-1268
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|x 0266-4763
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|g volume:48
|g year:2021
|g number:7
|g day:01
|g pages:1243-1268
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|u http://dx.doi.org/10.1080/02664763.2020.1759033
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