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

作　　者：Ibrahim M.Almanjahie Zahid Rasheed Majid Khan Syed Masroor Anwar Ammara Nawaz Cheema 

机构地区：[1]Department of Mathematics,College of Science,King Khalid University,Abha,62529,Saudi Arabia [2]Statistical Research and Studies Support Unit,King Khalid University,Abha,62529,Saudi Arabia [3]School of Mathematics and Statistics,Xi’an Jiaotong University China,Xi’an,710049,China [4]Department of Mathematics,Women University of Azad Jammu and Kashmir,Bagh,12500,Pakistan [5]Government Post Graduate College,Haripur,22620,Pakistan [6]Department of Statistics,University of Azad Jammu and Kashmir,Muzaffarabad,13100,Pakistan [7]Department of Mathematics,Air University,Islamabad,44000,Pakistan

出　　处：《Computer Modeling in Engineering & Sciences》2023年第6期2091-2118,共28页工程与科学中的计算机建模（英文）

基　　金：Funds are available under the Grant No.RGP.2/132/43 at King Khalid University,Kingdom of Saudi Arabia.

摘　　要：Nonparametric(distribution-free)control charts have been introduced in recent years when quality characteristics do not follow a specific distribution.When 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 charts.In 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 distribution.Monte Carlo simulations are used to obtain the run length characteristics to evaluate the performance of the proposed NPHWMARSS control chart.The proposed NPHWMARSS control chart’s performance is compared to that of parametric and nonparametric control charts.These 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 charts.The findings show that the proposed NPHWMARSS control chart performs better than its competitors,particularly for the small shifts.Finally,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 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]