具有异方差结构的一阶线性回归模型的DS最优设计
구유이방차결구적일계선성회귀모형적DS최우설계
DS-optimal designs for first-degree regression models with heteroscedastic structures
  • 万方数据
    上海师范大学学报（自然科学版） 상해사범대학학보（자연과학판）
    JOURNAL OF SHANGHAI TEACHERS UNIVERSITY(NATURAL SCIENCES)
    2011年 2期 111-116,封2 ,共7页

    岳荣先%程靖

    악영선%정정

    DS最优准则%异方差误差%Loewner偏序%随机系数回归模型 DS最優準則%異方差誤差%Loewner偏序%隨機繫數迴歸模型
    DS최우준칙%이방차오차%Loewner편서%수궤계수회귀모형
    DS-optimal criterion%heteroscedastic error%Loewner ordering%random coefficient regression model
    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.
    탐토구유이방차결구적일계선성회귀모형적DS최우설계문제,급출기이방차결구함수만족일정조건적고정계수일계선성회귀모형적DS최우설계적해석식,병증명수궤계수일계선성회귀모형불존재임하DS최우설계.
    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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