OPTIMALITY OF EXPERIMENTAL-DESIGNS

被引：13

作者：

NISHII, R

机构：

[1] Faculty of Integrated Arts and Sciences, Hiroshima University, Hiroshima

来源：

DISCRETE MATHEMATICS | 1993年 / 116卷 / 1-3期

关键词：

D O I：

10.1016/0012-365X(93)90402-F

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a survey of optimality of experimental designs. The equivalence theory between optimalities is discussed using the directional derivative of the criterion function. Optimality based on the mean squared error is also treated and, in particular, is applied to polynomial regression.

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页码：209 / 225

页数：17

相关论文

共 18 条

[1] RECENT DEVELOPMENTS IN THE METHODS OF OPTIMUM AND RELATED EXPERIMENTAL-DESIGNS [J].

ATKINSON, AC .

INTERNATIONAL STATISTICAL REVIEW, 1988, 56 (02) :99-115

[2]

Fedorov VV., 1972, THEORY OPTIMAL EXPT

[3] FURTHER CHARACTERIZATIONS OF DESIGN-OPTIMALITY AND ADMISSIBILITY FOR PARTIAL PARAMETER-ESTIMATION IN LINEAR-REGRESSION [J].

GAFFKE, N .

ANNALS OF STATISTICS, 1987, 15 (03) :942-957

[4] OPTIMUM DESIGNS FOR POLYNOMIAL EXTRAPOLATION [J].

HOEL, PG .

ANNALS OF MATHEMATICAL STATISTICS, 1965, 36 (05) :1483-1493

[5]

Karlin S.J., 1966, TECHEBYCHEFF SYSTEMS

[6] GENERAL EQUIVALENCE THEORY FOR OPTIMUM DESIGNS (APPROXIMATE THEORY) [J].

KIEFER, J .

ANNALS OF STATISTICS, 1974, 2 (05) :849-879

[7]

Kiefer J., 1960, CANADIAN J MATH, V12, P363, DOI [10.4153/CJM-1960-030-4, DOI 10.4153/CJM-1960-030-4]

[8] RECENT DEVELOPMENTS IN CROSSOVER DESIGNS [J].

MATTHEWS, JNS .

INTERNATIONAL STATISTICAL REVIEW, 1988, 56 (02) :117-127

[9]

Nather W., 1981, Mathematische Operationsforschung und Statistik, Series Statistics, V12, P307, DOI 10.1080/02331888108801591

[10]

NISHII R, 1987, J JAPAN STATIST SOC, V17, P113