Constrained optimal designs for regressiom models

Constrained optimal designs for regressiom models
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回归模型的约束最优设计

DOI:
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发表时间:
1987
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通讯作者:
Carl Lee
Carl Lee
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文献类型:
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作者:
Carl Lee

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演示了通过使用非线性规划技术同时组合多个最优性标准的尝试。引入了四个受约束的D-和G-最优性准则,即D-限制、Ds-限制、A-限制和E-限制D-和G-最优性。重点特别是多项式回归。研究了二次多项式回归的示例,以说明这些约束最优性标准的适用性。
An attempt of combining several optimality criteria simulaneously by using the techniques of nonliear programming is demonstrated. Four constrained D- and G-optimality criteria are introduced, namely, D-restrcted, Ds-restricted, A-restricted and E-restricted D- and G-optimality. The emphasis is particularly on the polynomial regression. Examples for quadratic polynomial regression are investigated to illustrate the applicability of these constrained optimality criteria.