CUSUM Chart with Transformed Exponential Data

References

• Alwan , L. C. ( 2000 ). Designing an effective exponential CUSUM chart without the use of nomographs . Commun. Statist. Theor. Meth. 29 ( 12 ): 2879 – 2894 . [CSA]
   Web of Science ®Google Scholar
• Box , G. E. P. , Cox , D. R. ( 1964 ). An analysis of transformations . J. R. Statist. Soc. Ser. B 26 : 211 – 252 . [CSA]
   Google Scholar
• Brook , D. , Evans , D. A. ( 1972 ). An approach to the probability distribution of CUSUM run length . Biometrika 59 ( 3 ): 539 – 549 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Chan , L. Y. , Xie , M. , Goh , T. N. ( 2000 ). Cumulative quantity control charts for monitoring production process . Inter. J. Product. Res. 38 ( 2 ): 397 – 408 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Gan , F. F. ( 1998 ). Designs of one- and two-sided exponential EWMA charts . J. Qual. Technol. 30 ( 1 ): 55 – 69 . [CSA]
   Web of Science ®Google Scholar
• Hawkins , D. M. ( 1992 ). Evaluation of the average run length of cumulative sum charts for an arbitrary data distribution . Commun. Statist. Simul. Computat. 21 : 1001 – 1020 . [CSA]
   Web of Science ®Google Scholar
• Hawkins , D. M. , Olwell , D. H. ( 1998 ). Cumulative Sum Charts and Charting for Quality Improvement . New York : Springer .
   Google Scholar
• Kittlitz , R. G. , Jr. , ( 1999 ). Transforming the exponential for SPC applications . J. Qual. Technol. 31 ( 3 ): 301 – 308 . [CSA]
   Web of Science ®Google Scholar
• Lucas , J. M. ( 1985 ). Counted data CUSUM's . Technometrics 27 : 129 – 144 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• McCool , J. I. , Joyner-Motley , T. ( 1998 ). Control charts applicable when the fraction nonconforming is small . J. Qual. Technol. 30 : 240 – 247 . [CSA]
   Web of Science ®Google Scholar
• Montgomery , D. C. ( 2001 ). Introduction to Statistical Quality Control. , 4th ed. New York : John Wiley & Sons, Inc.
   Google Scholar
• Nelson , L. S. ( 1994 ). A control chart for parts per million nonconforming items . J. Qual. Technol. 26 : 239 – 240 . [CSA]
   Web of Science ®Google Scholar
• Taneichi , N. , Sekiya , Y. , Suzukawa , A. , Imai , H. ( 2002 ). A formula for normalizing transformation of some statistics . Commun. Statist. Theor. Meth. 31 ( 2 ): 163 – 179 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Vardeman , S. , Ray , D. ( 1985 ). Average run lengths for CUSUM schemes when observations are exponentially distributed . Technometrics 27 : 145 – 150 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar