Table of Contents
International Journal of Quality, Statistics, and Reliability
Volume 2012, Article ID 985152, 10 pages
Research Article

Nonparametric Confidence Limits of Quantile-Based Process Capability Indices

1Department of Mathematics and Statistics, University of Southern Maine, 96 Falmouth Street, Portland, ME 04104, USA
2College of Sciences, Ningbo University of Technology, Ningbo, Zhejiang 315211, China

Received 1 August 2011; Accepted 23 December 2011

Academic Editor: Suk joo Bae

Copyright © 2012 Cheng Peng and Jiaqing Xu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. M. Juran, F. M. Gryna, and R. S. Binghan, Quality Control Handbook, McGraw-Hill, New York, NY, USA, 1974.
  2. K. Vännman, “A unified approach to process capability indices,” Statistica Sinica, vol. 5, pp. 805–820, 1995. View at Google Scholar
  3. K. S. Chen and W. L. Pearn, “An application of non-normal process capability indices,” Quality and Reliability Engineering International, vol. 13, no. 6, pp. 355–360, 1997. View at Google Scholar · View at Scopus
  4. S.-M. Chen and Y.-S. Hsu, “Asymptotic analysis of estimators for CNp based on quantile estimators,” Journal of Nonparametric Statistics, vol. 15, no. 2, pp. 137–150, 2003. View at Publisher · View at Google Scholar · View at Scopus
  5. R. J. Serfling, Approximation Theorems of Mathematical Statistics, John Wiley & Sons, New York, NY, USA, 1980.
  6. W. L. Pearn and K. S. Chen, “Capability indices for non-normal distributions with an application in electrolytic capacitor manufacturing,” Microelectronics Reliability, vol. 37, no. 12, pp. 1853–1858, 1997. View at Google Scholar · View at Scopus
  7. P. L. Chang and K. H. Lu, “PCI calculations for any shape of distribution with percentile,” Quality World, Technical Section, pp. 110–114, 1994. View at Google Scholar
  8. B. W. Silverman, Density Estimation for Statistics and Data Analysis, Chapman and Hall, London, UK, 1986.
  9. M. Wand and M. Jones, Kernel Smoothing, Chapman and Hall, London, UK, 1995.
  10. A. Bowman and A. Azzalini, Applied Smotthing Techniques, Oxford University Press, Oxford, UK, 1997.
  11. R. J. Hyndman and Y. Fan, “Sample quantiles in statistical packages,” American Statistician, vol. 50, no. 4, pp. 361–365, 1996. View at Google Scholar · View at Scopus