Nonparametric Double EWMA Control Chart for Process Monitoring
In monitoring process parameters, we assume normality of the quality characteristic of interest, which is an ideal assumption. In many practical situations, we may not know the distributional behavior of the data, and hence, the need arises use nonparametric techniques. In this study, a nonparametri...
| Main Authors: | , |
|---|---|
| 格式: | Article |
| 語言: | English |
| 出版: |
Universidad Nacional de Colombia
2016-07-01
|
| 叢編: | Revista Colombiana de Estadística |
| 主題: | |
| 在線閱讀: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512016000200002&lng=en&tlng=en |
| _version_ | 1828887956397490176 |
|---|---|
| author | MUHAMMAD RIAZ SADDAM AKBER ABBASI |
| author_facet | MUHAMMAD RIAZ SADDAM AKBER ABBASI |
| author_sort | MUHAMMAD RIAZ |
| collection | DOAJ |
| description | In monitoring process parameters, we assume normality of the quality characteristic of interest, which is an ideal assumption. In many practical situations, we may not know the distributional behavior of the data, and hence, the need arises use nonparametric techniques. In this study, a nonparametric double EWMA control chart, namely the NPDEWMA chart, is proposed to ensure efficient monitoring of the location parameter. The performance of the proposed chart is evaluated in terms of different run length properties, such as average, standard deviation and percentiles. The proposed scheme is compared with its recent existing counterparts, namely the nonparametric EWMA and the nonparametric CUSUM schemes. The performance measures used are the average run length (ARL), standard deviation of the run length (SDRL) and extra quadratic loss (EQL). We observed that the proposed chart outperforms the said existing schemes to detect shifts in the process mean level. We also provide an illustrative example for practical considerations. |
| first_indexed | 2024-12-13T12:13:57Z |
| format | Article |
| id | doaj.art-a369ab6d0936485c901b79b4c03a6924 |
| institution | Directory Open Access Journal |
| issn | 0120-1751 |
| language | English |
| last_indexed | 2024-12-13T12:13:57Z |
| publishDate | 2016-07-01 |
| publisher | Universidad Nacional de Colombia |
| record_format | Article |
| series | Revista Colombiana de Estadística |
| spelling | doaj.art-a369ab6d0936485c901b79b4c03a69242022-12-21T23:46:46ZengUniversidad Nacional de ColombiaRevista Colombiana de Estadística0120-17512016-07-0139216718410.15446/rce.v39n2.58914S0120-17512016000200002Nonparametric Double EWMA Control Chart for Process MonitoringMUHAMMAD RIAZ0SADDAM AKBER ABBASI1King Fahad University of Petroleum and MineralsKing Fahad University of Petroleum and MineralsIn monitoring process parameters, we assume normality of the quality characteristic of interest, which is an ideal assumption. In many practical situations, we may not know the distributional behavior of the data, and hence, the need arises use nonparametric techniques. In this study, a nonparametric double EWMA control chart, namely the NPDEWMA chart, is proposed to ensure efficient monitoring of the location parameter. The performance of the proposed chart is evaluated in terms of different run length properties, such as average, standard deviation and percentiles. The proposed scheme is compared with its recent existing counterparts, namely the nonparametric EWMA and the nonparametric CUSUM schemes. The performance measures used are the average run length (ARL), standard deviation of the run length (SDRL) and extra quadratic loss (EQL). We observed that the proposed chart outperforms the said existing schemes to detect shifts in the process mean level. We also provide an illustrative example for practical considerations.http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512016000200002&lng=en&tlng=enARLControl chartsDEWMAEQLNonparametricProcess locationRun length sistributionSDRL |
| spellingShingle | MUHAMMAD RIAZ SADDAM AKBER ABBASI Nonparametric Double EWMA Control Chart for Process Monitoring Revista Colombiana de Estadística ARL Control charts DEWMA EQL Nonparametric Process location Run length sistribution SDRL |
| title | Nonparametric Double EWMA Control Chart for Process Monitoring |
| title_full | Nonparametric Double EWMA Control Chart for Process Monitoring |
| title_fullStr | Nonparametric Double EWMA Control Chart for Process Monitoring |
| title_full_unstemmed | Nonparametric Double EWMA Control Chart for Process Monitoring |
| title_short | Nonparametric Double EWMA Control Chart for Process Monitoring |
| title_sort | nonparametric double ewma control chart for process monitoring |
| topic | ARL Control charts DEWMA EQL Nonparametric Process location Run length sistribution SDRL |
| url | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512016000200002&lng=en&tlng=en |
| work_keys_str_mv | AT muhammadriaz nonparametricdoubleewmacontrolchartforprocessmonitoring AT saddamakberabbasi nonparametricdoubleewmacontrolchartforprocessmonitoring |