论文信息 - Optimal multipurpose designs for regression models

Optimal multipurpose designs for regression models

In this paper multipurpose designs are considered. Therefore the criterion is used to choose a design, where Mm(ξ) are the information matrices of a design ξ for several models. With suitable chosen matrices Amj, a S-optimal design is good for the estimation of parameters in several models at the same time or for the discrimination between two models together with the estimation in the accepted model. Results of A. C. ATKINSON and S. M. STIGLER generalized in this way. For S-optimal designs among others an Equivalence Theorem of the KIEFER-WOLFOWITZ typ is proved and computing methods are given. It should be noticed that the regularity of the information matrices is not used.

E. Läuter | E. Läuter

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