52
Views
32
CrossRef citations to date
0
Altmetric
Theory and Methods

Bayesian Designs for Maximizing Information and Outcome

&
Pages 510-515 | Received 01 Dec 1989, Published online: 27 Feb 2012

References

  • Bar-Shalom , Y. and Walls , K. D. 1980 . Dual Adaptive Control and Uncertainty Effects in Macroeconomic Systems Optimization . Automatica , 16 : 147 – 156 .
  • Bernardo , J. M. 1979 . Expected Information as Expected Utility . The Annals of Statistics , 7 : 686 – 690 .
  • Berry , D. A. 1972 . A Bernoulli Two-Armed Bandit . The Annals of Mathematical Statistics , 43 : 871 – 897 .
  • Berry , D. A. and Fristedt , B. 1985 . Bandit Problems: Sequential Allocation of Experiments , London : Chapman & Hall .
  • Box , G. E. P. and Draper , N. R. 1979 . Evolutionary Operation , New York : John Wiley .
  • Chaloner , K. 1984 . Optimal Bayesian Experimental Designs for Linear Models . The Annals of Statistics , 12 : 283 – 300 .
  • DeGroot , M. H. 1986 . “ Changes in Utility as Information ” . In Recent Developments in the Foundations of Utility and Risk Theory , Edited by: Daboni , L. , Montesano , A. and Lines , M. 265 – 275 . Boston : D. Reidel .
  • Duffin , R. J. , Peterson , E. L. and Zener , C. 1967 . Geometric Programming–Theory and Application , New York : John Wiley .
  • Giovagnoli , A. and Verdinelli , I. 1983 . Bayes D-Optimal and E-Optimal Block Designs . Biometrika , 70 ( 3 ) : 695 – 706 .
  • Giovagnoli , A. and Verdinelli , I. 1985 . “ Optimal Block Designs Under a Hierarchical Linear Model ” . In Bayesian Statistics 2 , Edited by: Bernardo , J. M. , DeGroot , M.-H. , Lindley , D. V. and Smith , A. F. M. 655 – 661 . Amsterdam : North-Holland .
  • Gittins , J. C. 1979 . Bandit Process and Dynamic Allocation Indices . Journal of the Royal Statistical Society , 41 : 148 – 177 . (with discussion), Ser. B.
  • Kiefer , N. M. 1988–1989 . Optimal Collection of Information by Partially Informed Agents . Econometric Reviews , 7 : 113 – 148 .
  • Lindley , D. V. 1956 . On the Measure of Information Provided by an Experiment . The Annals of Mathematical Statistics , 27 : 986 – 1005 .
  • Lindley , D. V. and Smith , A. F. M. 1972 . Bayes Estimates for the Linear Model . Journal of the Royal Statistical Society , 34 : 1 – 41 . (with discussion), Ser. B
  • Owen , R. J. 1970 . The Optimum Design of a Two-Factor Experiment Using Prior Information . The Annals of Mathematical Statistics , 40 : 1917 – 1934 .
  • Shahani , A. K. and Crease , D. M. 1977 . Towards Models of Screening for Early Detection of Disease . Advances in Applied Probability , 9 : 665 – 680 .
  • Shannon , C. E. 1948 . A Mathematical Theory of Communication . Bell System Technical Journal , 27 : 379 – 423 . 623 – 656 .
  • Smith , A. F. M. and Verdinelli , I. 1980 . A Note on Bayesian Design for Inference Using a Hierarchical Linear Model . Biometrika , 67 : 613 – 619 .
  • Stone , M. 1959a . Application of a Measure of Information to the Design and Comparison of Regression Experiment . The Annals of Mathematical Statistics , 30 : 55 – 70 .
  • Stone , M. 1959b . Discussion of Kiefer . Journal of the Royal Statistical Society , 21 : 313 – 315 . Ser. B
  • Verdinelli , I. 1983 . Computing Bayes D- and E-Optimal Designs for a Two-Way Model . The Statistician , 32 : 161 – 167 .

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.