ESTIMATION OF THE CHANGE POINT OF A GAMMA PROCESS BY USING THE S CONTROL CHART AND MLE

REFERENCES

• Al-Oraini , H. A. and Rahim , M. A. 2003 . Economic statistical design of x2 control charts for systems with gamma (5,2) in-control times . Journal of Applied Statistics , 30 ( 4 ) : 397 – 409 .
   Web of Science ®Google Scholar
• Borror , C. M. , Montgomery , D. C. and Runger , G. C. 1999 . Robustness of the EWMA control chart to non-normality . Journal of Quality Technology , 31 ( 3 ) : 309 – 316 .
   Web of Science ®Google Scholar
• Burr , I. W. 1967 . The effect of non-normality on constants for X-bar and R charts . Industrial Quality Control , 23 : 563 – 568 .
   Google Scholar
• Chan , L. K. , Hapuarachchi , K. P. and Macpherson , B. D. 1988 . Robustness of x and R charts . IEEE Transactions on Reliability , 37 ( 3 ) : 117 – 123 .
   Google Scholar
• Chou , C. Y. , Chen , C. H. and Liu , H. R. 2004 . Effect of Nonnormality on the economic design of warning limit charts” . Quality Engineering , 16 ( 4 ) : 567 – 575 .
   Google Scholar
• Ferguson , T. S. 1996 . A Course in Large Sample Theory. Chapman and Hall .
   Google Scholar
• Jamshidian , F. and Zhu , Y. 1997 . Scenario simulation: theory and methodology . Finance and Stochastics , 1 : 43 – 67 .
   Google Scholar
• Levinson , W. and Polny , A. 1999 . SPC for tool particle counts . Semiconductor International , June, 117–122
   Google Scholar
• Levinson , W. 1997 . Watch out for nonnormal distributions of impurities . Chemical Engineering Progress , 93 ( 5 ) : 70 – 76 .
   Web of Science ®Google Scholar
• Pal , S. 2005 . Evaluation of nonnormal process capability indices using generalized lambda distribution” . Quality Engineering , 17 ( 1 ) : 77 – 85 .
   Google Scholar
• Pignatiello , J. J. and Samuel , T. R. 2001 . Estimation of the change point of a normal process mean in SPC applications . Journal of Quality Technology , 33 ( 1 ) : 82 – 95 .
   Web of Science ®Google Scholar
• Samuel , T. R. , Pignatiello , J. J. and Calvin , J. A. 1998 . Identifying the time of a step change with [Xbar] control charts . Quality Engineering , 10 ( 3 ) : 521 – 527 .
   Google Scholar
• Samuel , T. R. , Pignatiello , J. J. and Calvin , J. A. 1998 . Identifying the time of a step change in a normal process variance . Quality Engineering , 10 ( 3 ) : 529 – 538 .
   Google Scholar
• Schilling , E. G. and Nelson , P. R. 1976 . The effect of non-normality on the control limits of charts . Journal of Quality Technology , 8 ( 4 ) : 183 – 188 .
   Google Scholar
• Shao , Y. E. and Hou , C. D. 2004 . A study on identifying the time of a step change disturbance with S control charts and MLE method . Journal of the Chinese Institute of Industrial Engineers , 21 ( 4 ) : 349 – 357 .
   Google Scholar
• Shao , Y. E. and Hou , C. D. 2006 . Estimation of the starting time of a step change disturbance in a gamma process . Journal of the Chinese Institute of Industrial Engineers , to appear
   Google Scholar
• Shewhart , W. A . 1931 . Economic Control of Quality of Manufactured Product. New York : Van Nostrand .
   Google Scholar
• Shore , H. 2000 . General control charts for variables . International Journal of Production Research , 38 ( 8 ) : 1875 – 1897 .
   Web of Science ®Google Scholar
• Somerville , S. E. and Montgomery , D. C. 1996 . Process capability indices and nonnormal distributions . Quality Engineering , 9 ( 2 ) : 305 – 316 .
   Google Scholar
• Yourstone , S. A. and Zimmer , W. J. 1992 . Non-normality and the design of control charts for averages . Decision Science , 23 ( 5 ) : 1099 – 1113 .
   Web of Science ®Google Scholar
• Zheng , G. , Chen , Z. and Li , Z. 2003 . Tests for candidate-gene association using case-parents design . Annals of Human Genetics , 67 : 589 – 597 .
   PubMedGoogle Scholar