In the paper we solve the problem of DH-optimal design on a discrete experimental domain, which is formally equivalent to maximizing determinant on the convex hull of a finite number of positive semidefinite matrices. The problem of DH-optimality covers many special design settings, e.g. the D-optimal experimental design for regression models with grouped observations. For DH-optimal designs we...

(ABSTRACT) Bayesian optimal designs have received increasing attention in recent years, especially in biomedical and clinical trials. Bayesian design procedures can utilize the available prior information of the unknown parameters so that a better design can be achieved. However, a difficulty in dealing with the Bayesian design is the lack of efficient computational methods. In this research, a...