Optimal design of experiments
著者
書誌事項
Optimal design of experiments
（Wiley series in probability and mathematical statistics, . Probability and mathematical statistics）
Wiley, c1993
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This volume provides a complete treatment of the optimality theory of experimental designs in linear models, covering a large range of design problems that originate in statistics. The author discusses the formulation of the design problem and applies results to real situations.
目次
- Experimental Designs in Linear Models
- Optimal Designs for Scalar Parameter Systems
- Information Matrices
- Loewner Optimality
- Real Optimality Criteria
- Matrix Means
- The General Equivalence Theorem
- Optimal Moment Matrices and Optimal Designs
- D-, A-, E-, T-Optimality
- Admissibility of Moment and Information Matrices
- Bayes Designs and Discrimination Designs
- Efficient Designs for Finite Sample Sizes
- Invariant Design Problems
- Kiefer Optimality
- Rotatability and Response Surface Designs
- Comments and References
- Biographies
- Bibliography
- Index.
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