A sensitivity study on the bootstrap confidence interval of the capability index C_pk

References

• Box , G. E. P. and Jenkins , G. M. 1976 . Time Series Analysis: Forecasting and Control , San Francisco, CA , , USA : Holden-Day .
   Google Scholar
• Burr , I. W. 1942 . Cumulative frequency distribution . Annals of Mathematical Statistics , 13 : 215 – 232 .
   Google Scholar
• Burr , I. W. 1967 . The effect of non-normality on constants for and R charts . Industrial Quality Control , May : 563 – 569 .
   Google Scholar
• Choi , K. C. , Nam , K. H. and Park , D. H. 1996 . Estimation of capability index on bootstrap method . Microelectronics and Reliability , 36 : 1141 – 1153 .
   Web of Science ®Google Scholar
• Chou , C. Y. , Chen , C. H. and Liu , H. R. 2004 . Effect of non-normality on the economic design of warning limit X-bar charts . Quality Engineering , 16 ( 4 ) : 567 – 575 .
   Google Scholar
• Chou , C. Y. , Chen , C. H. and Liu , H. R. 2005 . Acceptance control charts for non-normal data . Journal of Applied Statistics , 32 ( 1 ) : 25 – 36 .
   Web of Science ®Google Scholar
• DiCiccio , T.J. and Efron , B. 1996 . Bootstrap confidence intervals . Statistical Science , 11 : 189 – 228 .
   Web of Science ®Google Scholar
• Efron , B. 1979 . Bootstrap methods: another look at the jackknife . The Annals of Statistics , 1 : 1 – 26 .
   Web of Science ®Google Scholar
• Efron , B. and Gong , G. 1983 . A leisurely look at the bootstrap, the jackknife, and cross-validation . The American Statistician , 37 : 36 – 48 .
   Web of Science ®Google Scholar
• Efron , B. and Tibshirani , R. J. 1986 . Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy . Statistical Science , 1 : 54 – 77 .
   Google Scholar
• Efron , B. and Tibshirani , R. J. 1988 . An Introduction to the Bootstrap , Chapman & Hall/CRC .
   Google Scholar
• Franklin , A. F. and Wasserman , G. S. 1991 . Bootstrap confidence interval estimation of Cpk - an introduction . Communications in Statistics - Simulation and Computation , 20 ( 1 ) : 231 – 242 .
   Web of Science ®Google Scholar
• Franklin , A. F. and Wasserman , G. S. 1992 . Bootstrap lower confidence limits for capability indices . Journal of Quality Technology , 24 : 196 – 210 .
   Web of Science ®Google Scholar
• Johnson , M. E. and Tenenbein , A. 1981 . A bivariate distribution family with specified marginals . Journal of the American Statistical Association , 76 : 198 – 201 .
   Web of Science ®Google Scholar
• Kane , V. E. 1986 . Process capability indices . Journal of Quality Technology , 18 : 41 – 52 .
   Web of Science ®Google Scholar
• Lawrance , A. J. and Lewis , P. A. W. 1987 . Modeling and residual analysis of nonlinear auroregressive time series in exponential variables . Journal of the Royal Statistical Society , 47 : 165 – 202 .
   Google Scholar
• Lin , Y. C. and Chou , C. Y. 2005 . On the design of variable sample size and sampling intervals X-bar charts under non-normality . International Journal of Production Economics , 96 ( 2 ) : 249 – 261 .
   Web of Science ®Google Scholar
• Melamed , B. 1991 . TES: a class of methods for generating autocorrelated uniform variates . ORSA Journal on Computing , 3 : 317 – 329 .
   Google Scholar
• Noreen , E. W. 1989 . Computer Intensive Methods for Testing Hypothesis: An Introduction , New York , , USA : John Wiley & Sons .
   Google Scholar
• Pearn , W. L. and Chen , K. S. 1997 . A practical implementation of the process capability index Cpk . Quality Engineering , 9 ( 4 ) : 721 – 737 .
   Google Scholar
• Song , W. T. , Hsiao , L. C. and Chen , Y. J. 1996 . Generating pseudorandom time series with specified marginal distributions . European Journal of Operational Research , 94 ( 1 ) : 194 – 202 .
   Web of Science ®Google Scholar
• Tsai , H. T. 1990 . Probabilistic tolerance design for a subsystem under Burr distribution using Taguchi’s quadratic loss function . Communications in Statistics - Theory and Methods , 19 ( 12 ) : 4679 – 4696 .
   Web of Science ®Google Scholar
• Yourstone , S. A. and Zimmer , W. J. 1992 . Non-normality and the design of control charts for averages . Decision Science , 23 : 1099 – 1113 .
   Web of Science ®Google Scholar