论文信息 - Optimum experimental design for a regression on a hypercube-generalization of Hoel's result

Optimum experimental design for a regression on a hypercube-generalization of Hoel's result

In the note Hoel's result (1965, Ann. Math. Statist., 36, 1097–1106) is generalized to a large family of experimental design optimality criterions. Sufficient conditions for optimality criterion are given, which ensure existence of the optimum experimental design measure which is a product of design measures on lower dimensional domains.

Ewaryst Rafajłowicz | E. Rafajłowicz | W. Myszka | Wojciech Myszka

[1] P. Whittle. Some General Points in the Theory of Optimal Experimental Design , 1973 .

[2] Andrej Pázman,et al. Some features of the optimal design theory – a survey , 1980 .

[3] Alexander Graham,et al. Kronecker Products and Matrix Calculus: With Applications , 1981 .

[4] Corwin L. Atwood,et al. Convergent Design Sequences, for Sufficiently Regular Optimality Criteria , 1976 .

[5] A. Hedayat,et al. An Introduction to Design Optimality with an Overview of the Literature. , 1978 .

[6] R. Bellman,et al. A Survey of Matrix Theory and Matrix Inequalities , 1965 .

[7] P. Hoel. Minimax Designs in Two Dimensional Regression , 1965 .

[8] Peter Lancaster,et al. The theory of matrices , 1969 .

[9] Changbao Wu,et al. Some iterative procedures for generating nonsingular optimal designs , 1978 .

[10] H. Wynn,et al. The Convergence of General Step-Length Algorithms for Regular Optimum Design Criteria , 1978 .

[11] Andrej Pázman,et al. Foundations of Optimum Experimental Design , 1986 .

[12] Paul G. Hoel,et al. Optimum Designs for Polynomial Extrapolation , 1965 .

[13] W. J. Studden,et al. Theory Of Optimal Experiments , 1972 .

[14] M. Marcus,et al. A Survey of Matrix Theory and Matrix Inequalities , 1965 .

[15] J. Kiefer. General Equivalence Theory for Optimum Designs (Approximate Theory) , 1974 .