D-optimality andD n -optimal designs for mixtures regression models with logarithmic terms

In this paper the authors put forward a new mixtures regression models with Logarithmic terms^14] to generalize Draper's models^{1, 2 or 6]} by using Kiefer-Wolfowitz's equivalence theorem^3], Fedorov's and Wynn's method^5]. And we also suggest a method for computer-aided design of combinatorial search^13].In this study, we have proved and constructed the approximateD-optimal (measure) andD _n -optimal (exact) designs by the use of the first and second order mixtures regression models with logarithmic terms in three and four components.Projects Supported by the Science Fund of the Chinese Academy of Sciences.