An Efficient Robust Nonparametric Triple EWMA Wilcoxon Signed-Rank Control Chart for Process Location

The nonparametric (NP) control charts are famous for detecting a shift in the process parameters (location and/or dispersion) when the underlying process characteristic does not follow the distributional assumptions. Similarly, when the cost of estimations is very high and the ranking of observation...

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Autores principales:	Zahid Rasheed, Hongying Zhang, Muhammad Arslan, Babar Zaman, Syed Masroor Anwar, Muhammad Abid, Saddam Akber Abbasi
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/13e4a785397b470eafcd9b0e523c6626
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spelling	oai:doaj.org-article:13e4a785397b470eafcd9b0e523c66262021-11-08T02:36:55ZAn Efficient Robust Nonparametric Triple EWMA Wilcoxon Signed-Rank Control Chart for Process Location1563-514710.1155/2021/2570198https://doaj.org/article/13e4a785397b470eafcd9b0e523c66262021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/2570198https://doaj.org/toc/1563-5147The nonparametric (NP) control charts are famous for detecting a shift in the process parameters (location and/or dispersion) when the underlying process characteristic does not follow the distributional assumptions. Similarly, when the cost of estimations is very high and the ranking of observational is relatively simple, the ranked set sampling (RSS) technique is preferred over the simple random sampling (SRS) technique. On the other hand, the NP triple exponentially weighted moving average (EWMA) control chart based on SRS is superior to the NP EWMA and NP double EWMA (NP DEWMA) based on the SRS technique to detect a shift in the process location. This study designed an advanced form of NP TEWMA Wilcoxon signed-rank based on RSS, denoted as TEWMA−SRRSS control chart to identify a shift in the process location parameter. The Monte Carlo simulation method is used to assess the performance of the proposed TEWMA−SRRSS control chart along with SRS-based NP TEWMA (TEWMA-SR), SRS-based NP TEWMA sign (TEWMA-SN), SRS-based TEWMA−X¯, and RSS-based NP DEWMA-SR DEWMA−SRRSS control charts. The study shows that the proposed TEWMA−SRRSS control chart is more efficient in identifying shifts (especially in small shifts) in the process location than the existing control charts. Finally, a real-life application is also provided for the practical implementation of the proposed TEWMA−SRRSS control chart.Zahid RasheedHongying ZhangMuhammad ArslanBabar ZamanSyed Masroor AnwarMuhammad AbidSaddam Akber AbbasiHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 Zahid Rasheed Hongying Zhang Muhammad Arslan Babar Zaman Syed Masroor Anwar Muhammad Abid Saddam Akber Abbasi An Efficient Robust Nonparametric Triple EWMA Wilcoxon Signed-Rank Control Chart for Process Location
description	The nonparametric (NP) control charts are famous for detecting a shift in the process parameters (location and/or dispersion) when the underlying process characteristic does not follow the distributional assumptions. Similarly, when the cost of estimations is very high and the ranking of observational is relatively simple, the ranked set sampling (RSS) technique is preferred over the simple random sampling (SRS) technique. On the other hand, the NP triple exponentially weighted moving average (EWMA) control chart based on SRS is superior to the NP EWMA and NP double EWMA (NP DEWMA) based on the SRS technique to detect a shift in the process location. This study designed an advanced form of NP TEWMA Wilcoxon signed-rank based on RSS, denoted as TEWMA−SRRSS control chart to identify a shift in the process location parameter. The Monte Carlo simulation method is used to assess the performance of the proposed TEWMA−SRRSS control chart along with SRS-based NP TEWMA (TEWMA-SR), SRS-based NP TEWMA sign (TEWMA-SN), SRS-based TEWMA−X¯, and RSS-based NP DEWMA-SR DEWMA−SRRSS control charts. The study shows that the proposed TEWMA−SRRSS control chart is more efficient in identifying shifts (especially in small shifts) in the process location than the existing control charts. Finally, a real-life application is also provided for the practical implementation of the proposed TEWMA−SRRSS control chart.
format	article
author	Zahid Rasheed Hongying Zhang Muhammad Arslan Babar Zaman Syed Masroor Anwar Muhammad Abid Saddam Akber Abbasi
author_facet	Zahid Rasheed Hongying Zhang Muhammad Arslan Babar Zaman Syed Masroor Anwar Muhammad Abid Saddam Akber Abbasi
author_sort	Zahid Rasheed
title	An Efficient Robust Nonparametric Triple EWMA Wilcoxon Signed-Rank Control Chart for Process Location
title_short	An Efficient Robust Nonparametric Triple EWMA Wilcoxon Signed-Rank Control Chart for Process Location
title_full	An Efficient Robust Nonparametric Triple EWMA Wilcoxon Signed-Rank Control Chart for Process Location
title_fullStr	An Efficient Robust Nonparametric Triple EWMA Wilcoxon Signed-Rank Control Chart for Process Location
title_full_unstemmed	An Efficient Robust Nonparametric Triple EWMA Wilcoxon Signed-Rank Control Chart for Process Location
title_sort	efficient robust nonparametric triple ewma wilcoxon signed-rank control chart for process location
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/13e4a785397b470eafcd9b0e523c6626
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An Efficient Robust Nonparametric Triple EWMA Wilcoxon Signed-Rank Control Chart for Process Location

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