A-Optimal designs for mixture polynomial models with heteroscedastic errors
This paper searches $ A $-optimal designs for mixture polynomial models when the errors are heteroscedastic. Sufficient conditions are given so that $ A $-optimal designs for the complex mixture polynomial models can be constructed from the direct sum of $ A $-optimal designs for their sub-mixture m...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231369?viewType=HTML |
| _version_ | 1797662974403411968 |
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| author | Fei Yan Junpeng Li Haosheng Jiang Chongqi Zhang |
| author_facet | Fei Yan Junpeng Li Haosheng Jiang Chongqi Zhang |
| author_sort | Fei Yan |
| collection | DOAJ |
| description | This paper searches $ A $-optimal designs for mixture polynomial models when the errors are heteroscedastic. Sufficient conditions are given so that $ A $-optimal designs for the complex mixture polynomial models can be constructed from the direct sum of $ A $-optimal designs for their sub-mixture models with different structures of heteroscedasticity. Several examples are presented to further illustrate and check optimal designs based on $ A $-optimality criterion. |
| first_indexed | 2024-03-11T19:07:53Z |
| format | Article |
| id | doaj.art-08a688cd66ba4c12bb40a8b8412ef6b3 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T19:07:53Z |
| publishDate | 2023-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-08a688cd66ba4c12bb40a8b8412ef6b32023-10-10T01:28:03ZengAIMS PressAIMS Mathematics2473-69882023-09-01811267452675710.3934/math.20231369A-Optimal designs for mixture polynomial models with heteroscedastic errorsFei Yan0Junpeng Li1Haosheng Jiang 2Chongqi Zhang31. School of Applied Mathematics, Beijing Normal University, Zhuhai, 519087, China2. School of Economics and Statistics, Guangzhou University, Guangzhou, 510006, China2. School of Economics and Statistics, Guangzhou University, Guangzhou, 510006, China2. School of Economics and Statistics, Guangzhou University, Guangzhou, 510006, ChinaThis paper searches $ A $-optimal designs for mixture polynomial models when the errors are heteroscedastic. Sufficient conditions are given so that $ A $-optimal designs for the complex mixture polynomial models can be constructed from the direct sum of $ A $-optimal designs for their sub-mixture models with different structures of heteroscedasticity. Several examples are presented to further illustrate and check optimal designs based on $ A $-optimality criterion.https://www.aimspress.com/article/doi/10.3934/math.20231369?viewType=HTMLmixture experimentsheteroscedasticity$ a $-optimal designmixture polynomial modelsdirect sum design |
| spellingShingle | Fei Yan Junpeng Li Haosheng Jiang Chongqi Zhang A-Optimal designs for mixture polynomial models with heteroscedastic errors AIMS Mathematics mixture experiments heteroscedasticity $ a $-optimal design mixture polynomial models direct sum design |
| title | A-Optimal designs for mixture polynomial models with heteroscedastic errors |
| title_full | A-Optimal designs for mixture polynomial models with heteroscedastic errors |
| title_fullStr | A-Optimal designs for mixture polynomial models with heteroscedastic errors |
| title_full_unstemmed | A-Optimal designs for mixture polynomial models with heteroscedastic errors |
| title_short | A-Optimal designs for mixture polynomial models with heteroscedastic errors |
| title_sort | a optimal designs for mixture polynomial models with heteroscedastic errors |
| topic | mixture experiments heteroscedasticity $ a $-optimal design mixture polynomial models direct sum design |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231369?viewType=HTML |
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