Abstract
Upper confidence limits are derived for the incapability index. Useful maximum values of the estimated incapability index required to ensure the process reaches a certain desirable level of time are also tabulated. A practical example is provided to illustrate how the results may be applied. The proposed results, which are more general than those as derived in earlier studies will facilitate process monitoring and reliability evaluation.
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References
Kane VE (1986) Process capability indices. J Qual Technol 18:41–52
Pearn WL, Lin GH, Chen KS (1998) Distributional and inferential properties of the process accuracy and process precision indices. Commun Stat Theory Methods 27:985–1000
Boyles RA (1991) The Taguchi capability index. J Qual Technol 23:17–26
Chou YM, Owen DB (1989) On the distributions of the estimated process capability indices. Communi Stat Theory Methods 18:4549–4560
Kotz S, Pearn WL, Johnson NL (1993) Some process capability indices are more reliable than one might think. Appl Stat 42:55–62
Lin GH, Pearn WL (2004) On the distributional properties of the estimated process accuracy index Ca. Int J Ind Eng, accepted, Qual Technol 24:221–215
Pearn WL, Kotz S, Johnson NL (1992) Distributional and inferential properties of process capability indices. J Qual Technol 24:216–231
Chan LK, Cheng SW, Spiring FA (1998) A new measure of process capability: Cpm. J Qual Technol 20:162–175
Johnson T (1992) The relationship of Cpm to squared error loss. J
Greenwich M, Jahr-Schaffrath BL (1995) A process incapability index. Int J Qual Reliab Manage 12:58–71
Pearn WL, Lin GH (2001) On the reliability of the estimated process incapability index. Qual Reliab Eng Int 17:279–290
Pearn WL, Lin GH. Estimated incapability index: Reliability and decision making with sample information. Qual Reliab Eng Int 18:141–147
Lin GH (2002) Process incapability index for contaminated normal processes. Adv Appl Stat 2:119–130
Chen KS (1998) Incapability index with asymmetric tolerances. Stat Sinica 8:253–262
Lin PC, Pearn WL, Chen KS (2001) Distributional properties and implications of the estimated process incapability index \(\hat{\mathrm{C}}{}_{\mathrm{pp}}^{\prime\prime}\). Am J Math Manage Sci 23:1–18
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Lin, G. Upper limits of the estimated incapability index: a practical application on the reliability assessment of printed circuit boards. Int J Adv Manuf Technol 24, 841–846 (2004). https://doi.org/10.1007/s00170-003-1795-7
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DOI: https://doi.org/10.1007/s00170-003-1795-7