Uniform Test on the Mixture Simplex Region

For the symmetrical mixture model and test area, lattice point set is used to partition, then corresponding statistics can be constructed. In this paper, we first propose partition methods under sets obtain several sub-simplexes without common interior points. Furthermore, present a method for constructing uniform design on simplex using center points of these sub-simplexes. The designs satisfy uniformity maximum distance deviation provide good results mean square error deviation. Finally, region considered illustrated by examples.