69
Views
12
CrossRef citations to date
0
Altmetric
INFERENCE

Optimum Mixture Design Using Deficiency Criterion

&
Pages 1565-1575 | Received 26 Jul 2007, Accepted 27 Sep 2007, Published online: 26 Mar 2008

References

  • Chatterjee , S. K. , Mandal , N. K. ( 1981 ). Response surface designs for estimating the optimal point . Calcutta Statist. Assoc. Bull. . 30 : 145 – 169 .
  • Dasgupta , A. ( 1996 ). Review of optimal Bayes designs . In: Ghosh , S. , Rao , C. R. , eds. Handbook of Statistics . Vol. 13 , The Netherlands : Elsevier , p. 1099 .
  • Draper , N. R. , Pukelsheim , F. ( 1999 ). Kiefer ordering of simplex designs for first and second degree mixture models . J. Statist. Plann. Infer. 79 : 325 – 348 .
  • Fedorov , V. V. , Muller , W. G. ( 1997 ). Another view on optimal design for estimating the point of extremum in quadratic regression . Metrika 46 : 147 – 157 .
  • Galil , Z. , Kiefer , J. ( 1977 ). Comparison of simplex designs for quadratic mixture models . Technometrics 19 : 445 – 453 .
  • Kiefer , J. ( 1961 ). Optimum designs in regression problems II . Ann. Math. Statist. 32 : 298 – 325 .
  • Kiefer , J. ( 1975 ). Optimum design: variation in structure and performance under change of criterion . Biometrika 62 : 277 – 288 .
  • Liu , S. , Neudecker , H. ( 1995 ). Experiments with mixtures: optimal allocation for Becker's models . Metrika 45 : 53 – 66 .
  • Mandal , N. K. , Heiligers , B. ( 1992 ). Minimax designs for estimating the optimum point in a quadratic response surface . J. Statist. Plann. Infer. 31 : 235 – 244 .
  • Melas , V. B. , Pepelyshev , A. , Cheng , R. C. H. ( 2003 ). Designs for estimating an extremal point of quadratic regression models in a hyper-ball . Metrika 58 : 193 – 208 .
  • Müller , Ch. H. , Pazman , A. ( 1998 ). Applications of necessary and sufficient conditions for maximin efficient designs . Metrika 48 : 1 – 19 .
  • Pal , M. , Mandal , N. K. ( 2006 ). Optimum designs for optimum mixtures . Statist. Probab. Lett. 76 ( 13 ): 1369 – 1379 .
  • Pal , M. , Mandal , N. K. (2007). Optimum mixture design via equivalence theory. communicated. JCISS 32:107–126.
  • Pal , M. , Mandal , N. K. ( 2008 ). Minimax designs for optimum mixtures . To appear in Statist. Probab. Lett.
  • Scheffe , H. ( 1958 ). Experiments with mixtures . J. R. Statist. Soc. B 20 : 344 – 360 .
  • Scheffe , H. ( 1963 ). Simplex – centroid design for experiments with mixtures . J. R. Statist. Soc. B 25 : 235 – 263 .
  • Silvey , S. D. ( 1980 ). Optimal Design . London : Chapman and Hall .

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.