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Uniform Test on the Mixture Simplex Region. Symmetry (Basel) 2022. [DOI: 10.3390/sym14071371] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
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 propose the partition methods under the lattice point sets and obtain several sub-simplexes without common interior points. Furthermore, we present a 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.
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Xiong Z, Liu W, Ning J, Qin H. Sequential support points. Stat Pap (Berl) 2022. [DOI: 10.1007/s00362-022-01294-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Batch sequential adaptive designs for global optimization. J Korean Stat Soc 2022. [DOI: 10.1007/s42952-022-00161-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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Yin C, Huang H. A method of constructing optimal sliced uniform designs under discrete discrepancy. Stat (Int Stat Inst) 2021. [DOI: 10.1002/sta4.388] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Changming Yin
- School of Mathematics and Information Science Guangxi University Nanning 530004 China
| | - Hengzhen Huang
- College of Mathematics and Statistics Guangxi Normal University Guilin 541004 China
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Tsai SF. Some results on the construction of sliced orthogonal arrays of parallel-flats type. COMMUN STAT-THEOR M 2020. [DOI: 10.1080/03610926.2020.1822406] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Shin-Fu Tsai
- Department of Agronomy, National Taiwan University, Taipei, Taiwan
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