TY - JOUR
T1 - A new approach to design median control charts for location monitoring
AU - Hussain, Shahid
AU - Mahmood, Tahir
AU - Riaz, Muhammad
AU - Nazir, Hafiz Zafar
PY - 2022
Y1 - 2022
N2 - In SPC, the most effective and magnificent tool is the control chart. The structure of control charting schemes required the assumption that the process is free from disturbances with known parameters or correctly estimated from the in-control process. These assumptions need to full fill for monitoring location parameter with mean control charts. But in practical, these assumptions are not always true, due to occasionally presence of outliers. That is why the median is a suitable measure as compared to the mean in the presence of disturbances. The ranked and neoteric ranked set samplings are suggested in this study to monitor the location parameter of the process by using median estimator for CUSUM, EWMA and Shewhart type control charts. The run-length profile is used as a performance measure for proposed median based control charts. The results reveal that for median control charts based on neoteric ranked set sampling scheme yield excellent outcomes. The real-life application is provided of the new charting schemes.
AB - In SPC, the most effective and magnificent tool is the control chart. The structure of control charting schemes required the assumption that the process is free from disturbances with known parameters or correctly estimated from the in-control process. These assumptions need to full fill for monitoring location parameter with mean control charts. But in practical, these assumptions are not always true, due to occasionally presence of outliers. That is why the median is a suitable measure as compared to the mean in the presence of disturbances. The ranked and neoteric ranked set samplings are suggested in this study to monitor the location parameter of the process by using median estimator for CUSUM, EWMA and Shewhart type control charts. The run-length profile is used as a performance measure for proposed median based control charts. The results reveal that for median control charts based on neoteric ranked set sampling scheme yield excellent outcomes. The real-life application is provided of the new charting schemes.
KW - Average run length
KW - CUSUM
KW - EWMA
KW - Neoteric ranked set sampling
KW - Shewhart chart
UR - http://www.scopus.com/inward/record.url?scp=85078916416&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85078916416&origin=recordpage
U2 - 10.1080/03610918.2020.1716245
DO - 10.1080/03610918.2020.1716245
M3 - RGC 21 - Publication in refereed journal
SN - 0361-0918
VL - 51
SP - 3553
EP - 3577
JO - Communications in Statistics - Simulation and Computation
JF - Communications in Statistics - Simulation and Computation
IS - 7
ER -