Algorithms for the construction of optimizing distributions

Communications in Statistics - Theory and Methods

Volumn 29, Issue 5-6, 2000, Pages 1219-1231

  Mandal, Saumendranath ^a   Torsney, Ben ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

Directional derivatives; Marginal homogeneity; Maximum likelihood estimation; Multiplicative algorithms; Optimal design

Indexed keywords

EID: 26844453780     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Atkinson, A. C. and Donev, A. N. (1992). Optimum Experimental Designs, Oxford Statistical Science Series-8, Clarendon Press, Oxford.
2. Plackett, R. L. (1974). The Analysis of Categorical Data, Griffin, London.
3. Pukelsheim, F. (1993). Optimal Design of Experiments, Wiley Series in Probability and Mathematical Statistics, New York.
4. Silvey, S. D., Titterington, D.M. and Torsney, B. (1978). "An algorithm for optimal designs on a finite design space," Communications in Statistics A, 14, 1379-1389.
5. Torsney, B. (1977). "Contribution to discussion of 'Maximum Likelihood estimation via the EM algorithm' by Dempster et al," J. Roy. Statist. Soc. B, 39, 26-27.
6. Torsney, B. (1983). "A Moment Inequality and Monotonicity of an Algorithm," Proc. of the Internat. Symp. on Semi-Infinite Programming and Appl. (Edited by Kortanek, K.O. and Fiacco, A.V.) at the Univ. of Texas at Austin. Lecture Notes in Econom. and Math. Sys., 215, 249-260.
7. Torsney, B. (1988). "Computing optimizing distributions with applications in design, estimation and image processing," Optimal Design and Analysis of Experiments, (Edited by Dodge, Y., Federov, V. V. and Wynn, H. P.), 361-370, Elsevier Science Publishers B. V., North Holland.
8. Torsney, B. and Alahmadi, A. M. (1992). "Further development of algorithms for constructing optimizing distributions," Model Oriented Data Analysis, Proc. 2nd IIASA Workshop in St. Kyrik, Bulgaria (Edited by Federov, V. V., Müller, W. G. and Vuchkov, I. N.), 121-129, Physica-Verlag.
9. Torsney, B. and Alahmadi, A. M. (1995). "Designing for minimally dependent observations," Statistica Sinica, 5, 499-514.
10. Whittle, P. (1973). "Some general points in the theory of optimal experimental design," J. Roy. Statist. Soc. B, 35, 123-130.
11. Wu, C. F. J. (1978). "Some iterative procedures for generating nonsingular optimal designs," Communications in Statistics A, 14, 1399-1412.