Non-Parametric Vertical Box Control Chart For Monitoring The Mean

Abstract

A new class of non-parametric control charts for detecting the change in the process mean is examined. The method, called a Vertical Box Control Chart (V-Box Chart), offers a simple and quick detection of the mean change in an observed process. No parametric assumption on the distribution function of the process is required. Furthermore, the V-Box Chart outperforms the classical Shewhart control chart by lowering the probability of detection of the out-of-control situation with the zero delay. Theoretical bounds on in-control and out-of-control behaviors of the V-Box Chart are worked out. The developed theory is supported by simulation examples.