Article
Version 1
Preserved in Portico This version is not peer-reviewed
Uniform Test on the Mixture Simplex Region
Version 1
: Received: 18 June 2022 / Approved: 27 June 2022 / Online: 27 June 2022 (03:09:12 CEST)
A peer-reviewed article of this Preprint also exists.
Zhao, H.; Li, G.; Li, J. Uniform Test on the Mixture Simplex Region. Symmetry 2022, 14, 1371. Zhao, H.; Li, G.; Li, J. Uniform Test on the Mixture Simplex Region. Symmetry 2022, 14, 1371.
Abstract
For the symmetrical mixture model and mixture test area, the lattice point set is used to partition, and then the corresponding test statistics can be constructed. In this paper, we first proposes the partition methods under the lattice point sets and obtains several sub-simplexes without common interior points. Furthermore, we present the method for constructing a uniform design on the simplex using the center points of these sub-simplexes. The designs satisfy the uniformity of maximum distance deviation and provide good results for the mean square error deviation. Finally, the uniformity test on the mixture region is considered and illustrated by examples.
Keywords
mixture experiments; lattice point sets; uniform designs
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment