The use of probability limits for process control based on geometric distribution

Abstract

Control charts based on geometric distribution have shown to be useful when this is a better approximation of the underlying distribution than the Poisson distribution. The traditional c‐chart, if used, will cause too many false alarms. It is noted that for geometric distribution, the control limits are based on k times standard deviation which has been used previously, will cause a frequent false alarm, and cannot derive any reasonable lower control limits. Studies the use of probability limits to resolve these problems. Also discusses the use of geometric distribution for process control of high‐yield processes.

Citation

Xie, M. and Goh, T.N. (1997), "The use of probability limits for process control based on geometric distribution", International Journal of Quality & Reliability Management, Vol. 14 No. 1, pp. 64-73. https://doi.org/10.1108/02656719710156789