具有异方差结构的一阶线性回归模型的DS最优设计(英文)  

DS-optimal designs for first-degree regression models with heteroscedastic structures

作　　者：岳荣先[1] 程靖[2] 

机构地区：[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

出　　处：《上海师范大学学报（自然科学版）》2011年第2期111-116,共6页Journal of Shanghai Normal University(Natural Sciences)

基　　金：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

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.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.

关 键 词：DS最优准则 异方差误差 Loewner偏序 随机系数回归模型 

分 类 号：O212.6[理学—概率论与数理统计]