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  A bayesian-like estimator of cpk
 
 
Title: A bayesian-like estimator of cpk
Author: pearn, W.L.
chen, K.S.
Appeared in: Communications in statistics
Paging: Volume 25 (1996) nr. 2 pages 321-329
Year: 1996
Contents: Bissell (1990) proposed an estimator for the process capability index Cpkassuming the knowledge whether the process mean µ < m or µ > m is available, where m is the mid-point between the upper and lower specification limits. Kotz, Pearn and Johnson (1993) showed that for the index Cpk, the natural estimator gives values for the standard deviation smaller than those of Bissell's. In this paper we show that by adding a well-known correction factor to Bissell's estimator, we obtain an unbiased estimator of Cpkwhose standard deviation is smaller than those given in Kotz, Pearn and Johnson (1993). In addition, we propose a Bayesian-like estimator which relaxes Bissell's assumption on the process mean. The distribution of the new estimator is shown to be identical to that of Bissell's estimator.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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