A New Non-parametric CUSUM Mean Chart

作者：Yang Su Fen^*; Cheng Smiley W

来源：Quality and Reliability Engineering International, 2011, 27(7): 867-875.

DOI：10.1002/qre.1171

• CUSUM chart
• process mean
• binomial distribution
• beta distribution
• ARL

Not all data in practice came from a process with normal distribution. When the process distribution is non-normal or unknown, the commonly used Shewhart control charts are not suitable. In this paper, a new non-parametric CUSUM Mean Chart is proposed to monitor the possible small mean shifts in the process. The sampling properties of the new monitoring statistics are examined and the average run lengths of the proposed chart are examined. Two numerical examples are used to illustrate the proposed chart and compare with the two existing charts, assuming normality and Beta distribution, respectively. The CUSUM Mean Chart showed better detection ability than those two charts in monitoring and detecting small process mean shifts.

• 出版日期2011-11