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P-optimal robust designs for multiresponse approximately linear regression

P-optimal robust designs for multiresponse approximately linear regression

作     者:LIU Xin YUE Rong-xian 

作者机构:College of Mathematics and Sciences Shanghai Normal University Shanghai 200234 China 

出 版 物:《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报(英文版)(B辑))

年 卷 期:2008年第23卷第2期

页      面:168-174页

核心收录:

学科分类:02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学(可授理学、经济学学位)] 070103[理学-概率论与数理统计] 0701[理学-数学] 

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

主  题:multiresponse,P-optimal robust. 

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.

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