Distribution-free precedence schemes with a generalized runs-rule for monitoring unknown location

dc.contributor.authorMalela-Majika, Jean-Claude
dc.contributor.authorRapoo, E.M.
dc.contributor.authorMukherjee, A.
dc.contributor.authorGraham, Marien Alet
dc.date.accessioned2019-09-20T11:39:39Z
dc.date.issued2020
dc.description.abstractNonparametric statistical process monitoring schemes are robust alternatives to traditional parametric process monitoring schemes, especially when the assumption of normality is invalid or when we do not have enough information about the underlying process distribution. In this paper, we propose to improve the well-known precedence scheme using the 2-of-(h + 1) supplementary runs-rules (where h is a nonzero positive integer). The in-control and out-of-control performances of the proposed control schemes are thoroughly investigated using both Markov chain and simulation based approaches. We find that the proposed schemes outperform their competitors in many cases. A real-life example is given to illustrate the design and implementation of the proposed schemes.en_ZA
dc.description.departmentScience, Mathematics and Technology Educationen_ZA
dc.description.embargo2020-05-25
dc.description.librarianhj2019en_ZA
dc.description.urihttps://www.tandfonline.com/loi/lsta20en_ZA
dc.identifier.citationJ.C. Malela-Majika, E.M Rapoo, A. Mukherjee & M.A. Graham (2020)Distribution-free precedence schemes with a generalized runs-rule for monitoring unknown location, Communications in Statistics - Theory and Methods, 49:20, 4996-5027, DOI:10.1080/03610926.2019.1612914.en_ZA
dc.identifier.issn0361-0926 (print)
dc.identifier.issn1532-415X (online)
dc.identifier.other10.1080/03610926.2019.1612914
dc.identifier.urihttp://hdl.handle.net/2263/71432
dc.language.isoenen_ZA
dc.publisherTaylor and Francisen_ZA
dc.rights© 2019 Taylor & Francis Group, LLC. This is an electronic version of an article published in Communications in Statistics Theory and Methods , vol. 49, no. 20, pp. 4996-5027, 2020. doi : 10.1080/03610926.2019.1612914. Communications in Statistics Theory and Methods is available online at : http://www.tandfonline.comloi/lsta20.en_ZA
dc.subjectNonparametric schemeen_ZA
dc.subjectPrecedence control schemeen_ZA
dc.subjectGeneralized 2-of-(h + 1) runs-rules schemesen_ZA
dc.subjectMarkov chain approachen_ZA
dc.subjectSimulationsen_ZA
dc.titleDistribution-free precedence schemes with a generalized runs-rule for monitoring unknown locationen_ZA
dc.typePostprint Articleen_ZA

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