叶百尧教授学术专题演讲111/6/29

  • 2022-06-16
  • 杨文敏
国立政治大学统计学系
     
主讲人:Prof. Arthur B. Yeh 叶百尧教授          
                   
Department of Applied Statistics and Operations Research,
                 Bowling Green State University

题   目:A Nonparametric Phase I Control Chart for Monitoring
                Scale Parameter Based on Empirical Likelihood Ratio

时    间:民国111629 (星期三) 上午1100 
地    点:国立政治大学商学院260903教室
摘    要:
            Among the statistical process control techniques, the control chart has been proven to be effective in process monitoring. The Shewhart chart is one of the most commonly used control charts for monitoring the process mean and variability based on the assumption that the distribution of the quality characteristic to be monitored is normal. However, especially in non-manufacturing control chart applications, many of the quality characteristics to be monitored are not normally distributed.
        Most of the existing nonparametric control charts are designed for Phase II monitoring. Little has been done in developing nonparametric Phase I control charts especially for individual observations. In this work, we propose a new nonparametric Phase I control chart for monitoring the scale parameter based on the empirical likelihood ratio test. The simulation results show that the proposed chart is more effective than the existing charts in terms of signal probability. A real example is used to demonstrate how the proposed chart can be applied in practice.