多响应近似线性回归模型D最优稳健设计  

D-optimal robust designs for multiresponse approximately linear regression

作　　者：刘欣[1] 岳荣先[1] 

机构地区：[1]上海师范大学数理信息学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2007年第4期5-10,共6页Journal of Shanghai Normal University(Natural Sciences)

基　　金：国家自然科学基金(10671129);教育部高校博士点专项科研基金(20060270002);上海市教委科研基金(05DZ03).

摘　　要：讨论了多响应变量模型的D最优稳健设计问题.在每个响应变量与自变量之间存在近似线性回归关系的假定下,针对偏差向量函数属于某一给定的L_2邻域的情形,得到了D最优准则下设计密度的解析表达式.Deal with the D - optimal robust designs for multiresponse approximately linear regression models. Each response is assumed to be only approximately linear in the regressors, and the bias function varies over a given L2 - neighbourhood. A kind of bivariate models with two responses is taken as an example to illustrate how to get the expression of the design measure.

关 键 词：多响应 D最优 稳健设计 

分 类 号：O212.6[理学—概率论与数理统计]