Investigating the Impact of Ranked Set Sampling in Nonparametric CUSUM Control Charts |
| |
| Authors: | Muhammad Abid Hafiz Zafar Nazir Muhammad Riaz Zhengyan Lin |
| |
| Affiliation: | 1. Department of Mathematics, Institute of Statistics, Zhejiang University, Hangzhou, China;2. Department of Statistics, Faculty of Science and Technology, Government College University, Faisalabad, Pakistan;3. Department of Statistics, Faculty of Science, University of Sargodha, Sargodha, Pakistan;4. Department of Mathematics and Statistics, King Fahad University of Petroleum and Minerals, Dhahran, Saudi Arabia |
| |
| Abstract: | Nonparametric control charts can be useful as an alternative in practice to the data expert when there is a lack of knowledge about the underlying distribution. In this study, a nonparametric cumulative sum (CUSUM) sign control chart for monitoring and detecting possible deviation from the process mean using ranked set sampling is proposed. Ranked set sampling is an effective method when the observations are inexpensive, and measurements are perhaps destructive. The average run length is used as performance measure for the proposed nonparametric CUSUM sign chart. Simulation study shows that the proposed version of the CUSUM sign chart using ranked set sampling generally outperforms than that version of the nonparametric CUSUM sign chart and the parametric CUSUM control chart using simple random sampling scheme. An illustrative example is also provided for practical consideration. Copyright © 2016 John Wiley & Sons, Ltd. |
| |
| Keywords: | average run length binomial distribution CUSUM chart nonparametric ranked set sampling |
|
|
