A-Optimal designs for mixture polynomial models with heteroscedastic errors

This paper searches A-optimal designs for mixture polynomial models when the errors are heteroscedastic. Sufficient conditions are given so that A-optimal designs for the complex mixture polynomial models can be constructed from the direct sum of A-optimal designs for their sub-mixture models with different structures of heteroscedasticity. Several examples are presented to further illustrate and check optimal designs based on A-optimality criterion.

Automated summary

This paper discusses the search for A-optimal designs for mixture polynomial models with heteroscedastic errors. It provides sufficient conditions for constructing A-optimal designs for complex mixture polynomial models by combining A-optimal designs for sub-mixture models with different heteroscedasticity structures. Several examples are presented to illustrate and verify the optimal designs based on the A-optimality criterion.