Exact Average Run Lengths for Monitoring Poisson Counts

M. A. A. Cox

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 22, 4757-4771

Abstract: Control charts are widely employed in public health surveillance. One use is as an aid in monitoring rare health events. A chart is designed to exhibit acceptable average run lengths both when the process is in and out of control. Thus, the chart provides a real-time assessment of the situation. This paper considers the average run lengths of general control charts associated with the Poisson distribution. The Shewhart, cumulative sum, and exponentially weighted moving average charts are special cases of the general chart considered here. An exact solution for the average run length is found for a chart with integer parameters. An approximate solution is obtained for a chart with non integer parameters. If desired, this solution can be iterated to provide an accurate full description of the average run length distribution.Short AbstractControl charts are widely employed in public health surveillance. A chart is designed to exhibit acceptable average run lengths both when the process is in and out of control. Thus, the chart provides a real-time assessment of the situation. This paper considers the average run lengths of general control charts associated with the Poisson distribution. An exact solution for the average run length is found for a chart with integer parameters. An approximate solution is obtained for a chart with non integer parameters. If desired, this solution can be iterated to provide the exact average run length distribution.

Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2013.784997 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:44:y:2015:i:22:p:4757-4771

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2013.784997

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().