Journal of Statistics: Advances in Theory and ApplicationsAuthor's: M. A. A. Cox
Pages: [63] - [91]
Received Date: January 13, 2011
Submitted by:
Control charts are widely employed in quality control to monitor a process or to evaluate historic data. These charts are designed to exhibit acceptable average run lengths both when the process is in and out of control. It is conventional to report these values. This paper examines the moments of the underlying distribution and its probability density function. These values are used to examine claims concerning the skewness of this distribution and provide guides to adoption of appropriate parameters. A number of disparate papers are described by using a consistent notation. The approach is developed to cover generalised control charts.
ARL, average run length, cumulative sum chart, CUSUM, EWMA, exponentially weighted moving average chart, generalised control charts, Shewhart chart, skewness.
