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AuthorMalela-Majika, Jean Claude
AuthorShongwe, Sandile C.
AuthorAslam, Muhammad
AuthorAbbasi, Saddam A.
Available date2022-02-14T08:27:13Z
Publication Date2021-07-27
Publication NameMathematical Problems in Engineering
Identifierhttp://dx.doi.org/10.1155/2021/4035011
CitationJean-Claude Malela-Majika, Sandile C. Shongwe, Muhammad Aslam, Saddam A. Abbasi, "Robust Distribution-Free Hybrid Exponentially Weighted Moving Average Schemes Based on Simple Random Sampling and Ranked Set Sampling Techniques", Mathematical Problems in Engineering, vol. 2021, Article ID 4035011, 21 pages, 2021. https://doi.org/10.1155/2021/4035011
ISSN1024123X
Identifier4035011
URIhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85112413702&origin=inward
URIhttp://hdl.handle.net/10576/26862
AbstractThis paper proposes new nonparametric hybrid exponentially weighted moving average (HEWMA) control charts based on simple random sampling (SRS) and ranked set sampling (RSS) techniques using the Wilcoxon rank-sum W statistic. The in-control robustness and out-of-control (OOC) performances are thoroughly investigated using extensive simulations. The HEWMA W chart is shown to be superior to the basic exponentially weighted moving average (EWMA) and double EWMA W charts in many cases under normal and nonnormal distributions. Moreover, the OOC sensitivities of the new HEWMA W-type control charts are further improved by using supplementary 2-of-2 and 2-of-3 standard and improved runs-rules approaches. It is found that the proposed HEWMA W-type charts with runs-rules perform better than the basic HEWMA W SRS and RSS charts. Real-life data based on the impurity of iron ore are used to illustrate the design and implementation of the new control charts.
Languageen
PublisherHindawi
SubjectControl Chart
Hybrid EWMA
ARL
TitleRobust Distribution-Free Hybrid Exponentially Weighted Moving Average Schemes Based on Simple Random Sampling and Ranked Set Sampling Techniques
TypeArticle
Volume Number2021
dc.accessType Open Access


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