Kim, B.; Kim, J. A Refinement of the Conjecture on the Pseudo Component Transformation of the Lattice Points in the Simplex. Symmetry2020, 12, 1427.
Kim, B.; Kim, J. A Refinement of the Conjecture on the Pseudo Component Transformation of the Lattice Points in the Simplex. Symmetry 2020, 12, 1427.
Kim, B.; Kim, J. A Refinement of the Conjecture on the Pseudo Component Transformation of the Lattice Points in the Simplex. Symmetry2020, 12, 1427.
Kim, B.; Kim, J. A Refinement of the Conjecture on the Pseudo Component Transformation of the Lattice Points in the Simplex. Symmetry 2020, 12, 1427.
Abstract
We consider mixture experiments in which the proportions of the components must be non-negative and their sum must equal one. Thus, the experimental region for a mixture of components is a simplex. Li and Zhang (2017) made the conjecture that the pseudo component transformation of the lattice points in the simplex has a special property. In this paper, we show that this conjecture is not true in general. Furthermore, we refine this conjecture and prove the refined conjecture.
Computer Science and Mathematics, Probability and Statistics
Copyright:
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