Monitoring Processes with Highly Censored Data

The need for process monitoring in industry is ubiquitous. By monitoring process output, problems may be rapidly detected and corrected. However, in many industrial and medical applications observations are censored either due to inherent limitations or cost/time considerations. For example, when testing breaking strengths or failure times often a limited stress test is performed and only a small proportion of the true failure strengths or failure times are observed. With highly censored observations a direct application of traditional monitoring procedures is not appropriate. In this article, Shewhart type X and S control charts based on the conditional expected value weight are suggested for monitoring processes where the censoring occurs at a fixed level. We provide an example to illustrate the application of this methodology.