P-optimal robust designs for multiresponse approximately linear regression  

作　　者：LIU Xin YUE Rong-xian 

机构地区：[1]College of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2008年第2期168-174,共7页高校应用数学学报（英文版）（B辑）

基　　金：National Natural Science Foundation of China(10671129);the Special Funds for Doctoral Authorities of Education Ministry of China(20060270002).

摘　　要：This paper deals with the problem of P-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.This paper deals with the problem of P-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：multiresponse P-optimal robust. 

分 类 号：O213[理学—概率论与数理统计]