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ranked-Set Sampling Based Distribution Free Control Chart with Application in CSTR Process

Computer Modeling in Engineering & Sciences 2023年第6期135卷 2091-2118页

作者： Ibrahim M.Almanjahie Zahid Rasheed Majid Khan Syed Masroor Anwar Ammara Nawaz Cheema Department of Mathematics College of ScienceKing Khalid UniversityAbha62529Saudi Arabia Statistical Research and Studies Support Unit King Khalid UniversityAbha62529Saudi Arabia School of Mathematics and Statistics Xi’an Jiaotong University ChinaXi’an710049China Department of Mathematics Women University of Azad Jammu and KashmirBagh12500Pakistan Government Post Graduate College Haripur22620Pakistan Department of Statistics University of Azad Jammu and KashmirMuzaffarabad13100Pakistan Department of Mathematics Air UniversityIslamabad44000Pakistan

Nonparametric(distribution-free)control charts have been introduced in recent years when quality characteristics do not follow a specific *** the sample selection is prohibitively expensive,we prefer ranked-set sampling over simple random sampling because ranked set sampling-based control charts outperform simple random sampling-based control *** this study,we proposed a nonparametric homogeneously weighted moving average based on thewilcoxon signed-rank test with ranked set sampling(NPHWMARSS)control chart for detecting shifts in the process location of a continuous and symmetric *** Carlo simulations are used to obtain the run length characteristics to evaluate the performance of the proposed NPHWMARSS control *** proposed NPHWMARSS control chart’s performance is compared to that of parametric and nonparametric control *** control charts include the exponentially weighted moving average(EWMA)control chart,wilcoxon signed-rank with simple random sampling based the nonparametric EWMA control chart,the nonparametric EWMA sign control chart,wilcoxon signed-rank with ranked set sampling-based the nonparametric EWMA control chart,and the homogeneously weighted moving average control *** findings show that the proposed NPHWMARSS control chart performs better than its competitors,particularly for the small ***,an example is presented to demonstrate how the proposed scheme can be implemented practically.

关键词： Nonparametric control charts run-length ranked set sampling wilcoxon signed-rank

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