116
Views
9
CrossRef citations to date
0
Altmetric
Statistical Quality Control

Bayesian and Shrinkage Estimation of Process Capability Index Cp

&
Pages 205-228 | Received 20 Jun 2002, Accepted 23 Apr 2004, Published online: 02 Sep 2006

References

  • Adler , Y. A. , Shper , V. , ( 1994 ). Some remarks on Bayesianapproach to process capability estimates . 5th International Meeting on Bayesian Statistics . Alicante , Spain .
  • Bernardo , J. M. , Smith , A. F. M. , ( 1993 ). Bayesian Theory . West Susex : Wiley , pp. 222 – 226 , 298–316, 371–373 .
  • Bernardo , J. M. , Irony , T. X. ( 1996 ). A general multivariate Bayesian process capability index . Statistician 45 : 487 – 502 .
  • Box , G. E. P. , Tiao , G. C. ( 1973 ). Bayesian Inference in Statistical Analysis . Boston : Addison-Wesley Publishing Co .
  • Chan , L. K. , Cheng , S. W. , Spiring , F. A. ( 1988 ). A graphical technique for process capability . ASQC Qual. Congr. Trans. 268 – 275 .
  • Chen , K. S. , Pearn , W. L. (1997). An Application of the non-normal process capability indices. Qual. Reliab. Eng. Int. 13:353–360.
  • Cheng , S. W. , Spring , F. A. ( 1989 ). Assessing process capability: a Bayesian approach . IEEE Trans. Reliab. 21 ( 1 ): 97 – 98 .
  • Chou , Y. , Owen , D. B. ( 1989 ). On the distribution of the estimated process capability indices . Comm. Statist.—Theo. Meth. 18 : 4549 – 4560 .
  • Chou , Y. , Owen , D. B. , Borrego , A. S. A. ( 1990 ). Lower confidence limits on process capability indices . J. Qual. Technol. 22 : 223 – 229 .
  • Deming , W. E. ( 1984 ). Quality, Productivity and Competitive Position . Cambridge : MIT Center for Advanced Engineering Study .
  • English , J. R. , Taylor , G. D. ( 1993 ). Process capability analysis-A robustness study . Inter. J. Prod. Res. 31 : 1621 – 1635 . [CSA]
  • Hoskins , J. , Stuart , B. , Taylor , J. ( 1988 ). A Motorola commitment: a six-sigma mandate . The Motorola Guide to Statistical Process Control for Continuous Improvement towards Six Sigma Quality .
  • Hubele , N. F. , Montgomery , D. C. , Chin , W. H. ( 1991 ). An application of statistical process control in jet-turbine engine component manufacturing . Qual. Eng. 4 ( 2 ): 197 – 210 . [CSA]
  • James , W. , Stein , C. ( 1961 ). A basic paper on Stein type Estimators . Proceedings of the 4th Berkeley Symposium on Mathematical Statistics , Vol. 1 , Berkeley : University of California Press , 361 – 379 .
  • Jeffreys , H. , ( 1961 ). Theory of Probability , 3rd ed. Oxford : Oxford University Press .
  • Kane , V. E. ( 1986 ). Process capability indices . J. Qual. Technol. 18 ( 1 ): 41 – 52 .
  • Kirmani , S. N. U. A. , Kocherlakota , K. , Kocherlakota , S. ( 1991 ). Estimation of σ and the process capability index based on sub samples . Commun. Statist.—Theo. Meth. 20 : 275 – 291 .
  • Kocherlakota , S. ( 1992 ). Process capabilty index: recent developments . Sankhya, Series B 54 ( 3 ): 352 – 369 .
  • Kotz , S. , Johnson , N. L. ( 1993 ). Process Capability Indices . London : Chapman & Hall .
  • Kotz , S. , Johnson , N. L. ( 2002 ). Process capability indices—a review, 1992–2000 . J. Qual. Technol. 34 ( 1 ): 2 – 53 .
  • Kotz , S. , Pearn , W. L. , Johnson , N. L. ( 1993 ). Some process capability indices are more reliable than one might think . J. Royal Statist. Soc. 42 ( 1 ): 55 – 62 .
  • Lyth , D. M. , Rabiej , R. J. ( 1995 ). Critical variables in woodmanufacturing's process capability: species, structure, and moisture content . Qual. Eng. 8 ( 2 ): 275 – 281 .
  • Montgomery , D. C. ( 1996 ). Introduction to Statistical Quality Control. . New York : John Wiley & Sons , pp. 222 – 431 .
  • Niverthi , D. , Dey , D. K. ( 2000 ). Multivariate process capability: a Bayesian perspective . Commun. Statist.—Simul. Computat. 29 : 667 – 687 .
  • Noguera , J. , Nielsen , T. ( 1992 ). Implementing six sigma for interconnect technology . ASQC Qual. Congr. Trans. Nashville , 538 – 544 .
  • Owen , D. B. , Borrego , A. S. A. ( 1990 ). Lower confidence limits on process capability indices based on the range . Commun. Statist.—Simul. & Comput. 19 : 1 – 24 .
  • Pearn , W. L. , Chen , K. S. ( 1996 ). A Bayesian-like estimator of C pk . Commun. Statist.—Simul & Comput. 25 ( 2 ): 321 – 329 .
  • Pearn , W. L. , Chen , K. S. ( 1997 ). Capability indices for non-normal distributions with application in electrolytic capacitor manufacturing . Microelectron. Reliabil. 37 ( 12 ): 1853 – 1858 . [CROSSREF]
  • Pearn , W. L. , Kotz , S. ( 1994 ). Application of Clements’ method for calculating second and third generation process capability indices for non-normal pearsonian populations . Qual. Eng. 7 ( 1 ): 139 – 145 .
  • Pearn , W. L. , Kotz , S. , Johnson , N. L. ( 1992 ). Distributional and inferential properties of process capability indices . J. Qual. Technol. 24 ( 4 ): 216 – 233 .
  • Pearn , W. L. , Lin , G. H. ( 2000 ). Estimating capability index C pk for processes with asymmetric tolerences . Commun. Statist.—Theor. & Meth. 29 ( 11 ): 2593 – 2604 .
  • Rado , L. G. (1989). Enhance product development by using capability indexes. Qual. Progr. 22(4):38–41.
  • Rodriguez , R. N. ( 1992 ). Recent development in process capability analysis . J. Qual. Technol. 24 ( 4 ): 176 – 187 .
  • Shiau , J. J. H. , Hung , H. N. , Chiang , C. T. ( 1999 ). A note on Bayesian Estimation of Process Capability Indices . Stat. Probab. Lett. 45 : 215 – 224 . [CROSSREF]
  • Sinha , S. K. , Kale , B. K. ( 1980 ). Life Testing and Reliability Estimation . Wiley Eastern Ltd. , 152 .
  • Spiring , F. A. ( 1991 ). A new measure of process capability . Qual. Progr. 57 – 61 .
  • Spiring , F. A. ( 2000 ). Assessing process capability with indices . In: Statistical Process Monitoring and Optimization . Park , S.H. and Vining , eds. New York : Marcel Dekker , 269 – 290 .
  • Thompson , J. R. ( 1968 ). Some shrinkage technique for estimating the mean . J. Amer. Statist. Assoc. 63 : 113 – 123 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.