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The cumulative distribution function of process capability index Cpm

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  • Wright, Peter A.

Abstract

We derive an explicit form for the cumulative distribution function of both the Chan et al. (J. Quality Technol. 20 (1988) 162-175) estimator and the Boyles (J. Quality Technol. 23 (1991) 17-26) estimator of the process capability index Cpm when sampling from a normal distribution.

Suggested Citation

  • Wright, Peter A., 2000. "The cumulative distribution function of process capability index Cpm," Statistics & Probability Letters, Elsevier, vol. 47(3), pages 249-251, April.
    • Handle: RePEc:eee:stapro:v:47:y:2000:i:3:p:249-251
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    Cited by:

    1. Wu, Chien-Wei & Pearn, W.L. & Kotz, Samuel, 2009. "An overview of theory and practice on process capability indices for quality assurance," International Journal of Production Economics, Elsevier, vol. 117(2), pages 338-359, February.
    2. Wu, Chien-Wei, 2008. "Assessing process capability based on Bayesian approach with subsamples," European Journal of Operational Research, Elsevier, vol. 184(1), pages 207-228, January.
    3. Chien-Wei Wu & Tsai-Yu Lin, 2009. "A Bayesian procedure for assessing process performance based on the third-generation capability index," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(11), pages 1205-1223.

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