A class of equtolent problems in statistics and operational research

South African Statistical Journal

Volumn 32, Issue 1, 1998, Pages 43-66

  Haines, Linda M ^a  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

Convex geometry; EM algorithm; Equivalence Theorem; Finite mixture distributions; Indirect estimation; Optimal Bayesian designs; Simple bargaining games

Indexed keywords

EID: 22444455275     PISSN: 0038271X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. ATKINSON, A.C. (1975). Planning experiments for model testing and discrimination. Math. Operationsforsch. Statist. Ser. Statist., 2, 253-267.
2. BÖHNING, D. (1985). Numerical estimation of a probability measure. Journal of Statististical Planning and Inference, 11, 57-69.
3. BÖHNING, D. (1986). A vertex-exchange-method in D-optimal design theory. Metrika, 33, 337-347.
4. CHALONER, K. (1993). A note on optimal Bayesian design for nonlinear problems. Journal of Statistical Planning and Inference, 37, 229-235.
5. CHALONER, K. & LARNTZ, K. (1989). Optimal Bayesian design applied to logistic regression experiments. Journal of Statistical Planning and Inference, 21, 191-208.
6. COVER, T.M. (1984). An algorithm for maximizing expected log investment return. IEEE Transactions on Information Theory, 30, 369-373.
7. DE WAAL, D.J., GROENEWALD, P.C.N., VAN ZYL, J.M. & ZIDEK, J.V. (1986). Multi-Bayesian estimation theory. Statistics & Decisions, 4, 1-18.
8. DETTE, H. & NEUGEBAUER, H.-M. (1996). Bayesian optimal one point designs for one parameter nonlinear models. Journal of Statistical Planning and Inference, 52, 17-31.
9. FEDOROY V.V. (1972). Theory of Optimal Experiments. New York: Academic Press.
10. GREEN, P.J. (1990). Bayesian reconstructions from emission tomography data using a modified EM algorithm. IEEE Transactions on Medical Imaging, 9, 84-93.
11. HAINES, L.M. (1995). A geometric approach to optimal designs for one-parameter non-linear models. Journal of the Royal Statistical Society, Series B, 57, 575-598.