| 具有异方差结构的一阶线性回归模型的DS最优设计 |
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| 引用本文： | 岳荣先, 程靖.具有异方差结构的一阶线性回归模型的DS最优设计[J].上海师范大学学报(自然科学版),2011,40(2):111-116. |
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| 作者姓名： | 岳荣先 程靖 |
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| 作者单位： | 1. 上海师范大学数理学院,上海,200234
2. 巢湖学院数学系,巢湖,238000 |
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| 基金项目： | supported by NSFC Grant(11071168); the Special Funds for Doctorial Authorities of Education Ministry(20103127110002); the Innovation Program of Shanghai Municipal Education Commission(11zz116); the Scientific Research Foundation of Chaohu College |
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| 摘 要： | 探讨具有异方差结构的一阶线性回归模型的DS最优设计问题,给出其异方差结构函数满足一定条件的固定系数一阶线性回归模型的DS最优设计的解析式,并证明随机系数一阶线性回归模型不存在任何DS最优设计.
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| 关 键 词： | DS最优准则 异方差误差 Loewner偏序 随机系数回归模型 |
DS-optimal designs for first-degree regression models with heteroscedastic structures |
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| YUE Rong-xian,CHENG Jing.DS-optimal designs for first-degree regression models with heteroscedastic structures[J].Journal of Shanghai Normal University(Natural Sciences),2011,40(2):111-116. |
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| Authors: | YUE Rong-xian CHENG Jing |
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| Institution: | YUE Rong-xian1,CHENG Jing2(1.College of Mathematics and Sciences,Shanghai Normal University,Shanghai 200234,China,2.Department of Mathematics,Chaohu College,Chaohu 238000,China) |
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| Abstract: | The paper investigates the DS-optimal designs for first-degree regression models with heteroscedastic structures.Sufficient conditions for the heteroscedastic structure are given to make sure that the equireplicated design is DS-optimal for the first-degree regression models with heteroscedastic errors.It is shown that there exists no DS-optimal design for first-degree random coefficient regression models. |
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| Keywords: | DS-optimal criterion heteroscedastic error Loewner ordering random coefficient regression model |
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