The optimal choice of negative binomial charts for monitoring high-quality processes

Albers, Willem (2010) The optimal choice of negative binomial charts for monitoring high-quality processes. Journal of Statistical Planning and Inference, 140 (1). pp. 214-225. ISSN 0378-3758

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Abstract:	Good control charts for high quality processes are often based on the number of successes between failures. Geometric charts are simplest in this respect, but slow in recognizing moderately increased failure rates p. Improvement can be achieved by waiting until r > 1 failures have occurred, i.e. by using negative binomial charts.In this paper we analyze such charts in some detail. On the basis of a fair comparison, we demonstrate how the optimal r is related to the degree of increase of p. As in practice p will usually be unknown, we also analyze the estimated version of the charts. In particular, simple corrections are derived to control the non-negligible effects of this estimation step.
Item Type:	Article
Copyright:	© 2010 Elsevier
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Statistics and Probability (SP)
Link to this item:	http://purl.utwente.nl/publications/68000
Official URL:	http://dx.doi.org/10.1016/j.jspi.2009.07.005
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