102
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

On a Process Capability Index for Asymmetric Specifications

&
Pages 1459-1492 | Published online: 02 Sep 2006

References

  • Balamurali , S. and Kalyanasundaram , M. 2002 . Bootstrap lower confidence limits for the process capability indices C p , C pk and C pm . International Journal of Quality and Reliability Management , 19 ( 8/9 ) : 1088 – 1097 .
  • Boyles , R. A. 1991 . The Taguchi capability index . Journal of Quality Technology , 23 ( 1 ) : 17 – 26 .
  • Boyles , R. A. 1994 . Process capability with asymmetric tolerances . Communications in Statistics—Simulation and Computation , 23 ( 3 ) : 615 – 643 .
  • Chan , L. K. , Cheng , S. W. and Spiring , F. A. 1988 . A new measure of process capability C pm . Journal of Quality Technology , 20 ( 3 ) : 162 – 175 .
  • Chen , K. S. 1998 . Incapability index with asymmetric tolerances . Statistica Sinica , 8 : 253 – 262 .
  • Chen , K. S. , Pearn , W. L. and Lin , P. C. 1999 . A new generalization of C pm for processes with asymmetric tolerances . International Journal of Reliability, Quality and Safety Engineering , 6 ( 4 ) : 383 – 398 .
  • Clements , J. A. 1989 . Process capability calculations for non-normal distributions . Quality Progress , 22 ( 9 ) : 95 – 100 .
  • Efron , B. 1979 . Bootstrap methods: another look at the jackknife . The Annals of Statistics , 7 ( 1 ) : 1 – 26 .
  • Efron , B. and Tibshirani , R. 1993 . An Introduction to the Bootstrap New York : Chapman and Hall .
  • Franklin , L. A. and Wasserman , G. 1991 . Bootstrap confidence interval estimates of C pk : an introduction . Communications in Statistics—Simulation and Computation , 20 ( 1 ) : 231 – 242 .
  • Franklin , L. A. and Wasserman , G. 1992 . Bootstrap lower confidence limits for capability indices . Journal of Quality Technology , 24 ( 4 ) : 196 – 210 .
  • Greenwich , M. and Jahr-Schaffrath , B. L. 1995 . A process incapability index . International Journal of Quality and Reliability Management , 12 ( 4 ) : 58 – 71 .
  • Han , J. H. , Cho , J. J. and Leem , C. S. 2000 . Bootstrap confidence limits for Wright's C s . Communications in Statistics—Theory and Methods , 29 ( 3 ) : 485 – 505 .
  • Hsiang , T. C. and Taguchi , G. 1985 . A tutorial on quality control and assurance—the Taguchi methods Las'Vegas, Nevada : ASA Annual Meeting .
  • Jessenberger , J. and Weihs , C. 2000 . A note on the behavior of C pmk with asymmetric specification limits . Journal of Quality Technology , 32 ( 4 ) : 440 – 443 .
  • Kotz , S. and Johnson , N. L. 1993 . Process Capability Indices Chapman and Hall .
  • Kotz , S. and Johnson , N. L. 2002 . Process capability indices—a review, 1992–2000 . Journal of Quality Technology , 34 ( 1 ) : 2 – 19 .
  • Kotz , S. and Lovelace , C. R. 1998 . Process Capability Indices in Theory and Practice . Arnold ,
  • Pearn , W. L. and Chen , K. S. 1998 . New generalization of process capability index C pk . Journal of Applied Statistics , 25 ( 6 ) : 801 – 810 .
  • Pearn , W. L. , Kotz , S. and Johnson , N. L. 1992 . Distributional and inferential properties of process capability indices . Journal of Quality Technology , 24 ( 4 ) : 216 – 231 .
  • Pearn , W. L. , Lin , P. C. and Chen , K. S. 2001 . Estimating process capability index for asymmetric tolerances: distributional properties . Metrika , 54 : 261 – 279 .
  • Perakis , M. and Xekalaki , E. 2001 . “ A new method for constructing confidence intervals for the index C pm ” . In Proceedings of the Hellenic-European Conference on Computer Mathematics and its Applications (HERCMA) 2001 pp. 832 – 838 . Athens, , Greece
  • Price , B. and Price , K. 1993 . A methodology to estimate the sampling variability of the capability index C pk . Quality Engineering , 5 ( 4 ) : 527 – 544 .
  • Subbaiah , P. and Taam , W. 1993 . Inference on the capability index C pm . Communications in Statistics—Theory and Methods , 22 ( 2 ) : 537 – 560 .
  • Sundaraiyer , V. H. 1996 . Estimation of a process capability index for inverse gaussian distribution . Communications in Statistics—Theory and Methods , 25 ( 10 ) : 2381 – 2393 .
  • Vannman , K. 1995 . A unified approach to capability indices . Statistica Sinica , 5 : 805 – 820 .
  • Vannman , K. 1997 . A general class of capability indices in the case of asymmetric tolerances . Communications in Statistics—Theory and Methods , 26 ( 8 ) : 2049 – 2072 .
  • Vannman , K. 1998 . “ Capability indices when tolerances are asymmetric ” . In Quality Improvement Through Statistical Methods Edited by: Abraham , B. Boston : Birkhauser .
  • Wasserman , G. and Franklin , L. A. 1992 . Standard bootstrap confidence interval estimates of C pk . Computers and Industrial Engineering , 22 ( 2 ) : 171 – 176 .
  • Wasserman , G. , Mohsen , H. A. and Franklin , L. A. 1991 . A program to calculate bootstrap confidence intervals for the process capability index C pk . Communications in Statistics—Simulation and Computation , 20 ( 2&3 ) : 497 – 510 .
  • Wright , P. A. 1995 . A process capability index sensitive to skewness . Journal of Statistical Computation and Simulation , 52 : 195 – 203 .
  • Zimmer , L. S. , Hubele , N. F. and Zimmer , W. J. 2001 . Confidence intervals and sample size determination for C pm . Quality and Reliability Engineering International , 17 ( 1 ) : 51 – 68 .

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.