48
Views
11
CrossRef citations to date
0
Altmetric
ORIGINAL ARTICLES

Univariate control charts for individual characteristics in a multinomial model

, &
Pages 1115-1125 | Received 01 Jul 1997, Accepted 01 Mar 1999, Published online: 31 May 2007

References

  • Lowry , C.A. and Montgomery , D.C. ( 1995 ) A review of multi-variate control charts. IIE Transactions , 11 , 800 – 810 .
  • Alt , F.B. ( 1985 ) Multivariate quality control , in Encyclopedia of Statistical Sciences , Vol. 6 , Kotz, S. and Johnson, N.L. (eds) , John Wiley , New York , NY . pp. 110 – 122 .
  • Hotelling , H. ( 1947 ) Multivariate quality control , in Techniques of Statistical Analysis , Eisenhart, C, Hastay, M. and Wallis, W.A. (eds) , McGraw-Hill , New York , NY . pp. 111 – 184 .
  • Woodall , W.H. and Ncube , M.M. ( 1985 ) Multivariate CUSUM quality control procedures. Technometrics , 27 , 285 – 292 .
  • Pignatiello , J.J. and Runger , G.C. ( 1990 ) Comparison of multivariate CUSUM charts. Journal of Quality Technology , 22 , 173 – 186 .
  • Nickerson , D.M. ( 1994 ) Construction of a conservative confidence region from projections of an exact confidence region in multiple linear regression. The American Statistician , 48 , 120 – 124 .
  • Hayter , A.J. and Tsui , K. ( 1994 ) Identification and quantification in multivariate quality control problems. Journal of Quality Technology , 26 , 197 – 208 .
  • Duncan , A.J. ( 1956 ) The economic design of X¯ charts used to maintain current control of a process. Journal of the American Statistical Association , 51 , 228 – 242 .
  • Lorenzen , T.J. and Vance , L.C. ( 1986 ) The economic design of control charts a unified approach. Technometrics , 28 , 3 – 10 .
  • Saniga , E.M. ( 1989 ) Economic statistical control chart designs with an application to X¯ and R charts. Technometries , 31 , 313 – 320 .
  • Luenberger , D.G. ( 1984 ) Linear and Nonlinear Programming , 2nd edn , Addison-Wesley , Reading , MA .
  • Bechhofer , R.E. and Dunnett , C.W. ( 1988 ) Percentage points of multivariate student t distributions , in Selected Tables in Mathematical Statistics Vol. 11 , Harter, H.L. and Owen, D.B. (eds) , American Mathematical Society , Providence , RI .
  • Anon , ( 1989 ) User's Manual Stat'Library , IMSL Inc. , Houston , TX .
  • Terza , J.V. and Welland , U. ( 1991 ) A comparison of bivariate normal algorithms. Journal of Statistical Computation and Simulation , 39 , 115 – 127 .
  • Rice , J. , Reich , T. , Cloninger , C.R. and Wette , R. ( 1979 ) An approximation to the multivariate normal integral its application to multifactorial qualitative traits. Biometrics , 35 , 451 – 459 .
  • Mee , R.W. and Owen , D.B. ( 1983 ) A simple approximation for bivariate normal probabilities. Journal of Quality Technology , 15 , 72 – 75 .
  • Hohenbichler , M. and Rackwitz , R. ( 1985 ) A bound and an approximation to the multivariate normal distribution function. Mathematica Japonica , 30 , 821 – 828 .
  • Serel , D. ( 1998 ) Essays in quality and supply chain management. Ph.D. dissertation, Krannert School of Management , Purdue University , West Lafayette , IN .
  • Joe , H. ( 1995 ) Approximations to multivariate normal rectangle probabilities based on conditional expectations. Journal of the American Statistical Association , 90 , 957 – 964 .
  • Crowder , S.V. ( 1987 ) Computation of ARL for combined individual measurement and moving range charts. Journal of Quality Technology , 19 , 98 – 102 .

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.