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Optimal design of experiments / Friedrich Pukelsheim

By: Material type: TextTextPublication details: New York : John Wiley & Son, Inc., c1993Description: xxiii, 454 pages; 24 cmISBN:
  • 047161971X
Subject(s): LOC classification:
  • QA 279 .P85 1993
Contents:
Chapter1. Experimental design -- Chapter2.Optimal designs for scalar parameter system -- Chapter3. Information matrices -- Chapter4. Loewner optimality -- Chapter5. Real Optimality criteria -- Chapter6. Matrix means -- Chapter7. The general equivalence theorem -- Chapter8. Optimal moment matrices and optimal designs -- Chapter9. D-,A-,E-,T-optimality -- Chapter10. Admissibility of moment and information matrices -- Chapter11. Bayes designs and discrimination designs -- Chapter12. Efficient designs for finite sample -- Chapter13. Invariant design problem -- Chapter14. Kiefer optimality -- Chapter15. Rotatability and response surface designs .
Summary: The design problems originate from statistics, but are solved using special tools from linear algebra and convex analysis, such as the information matrix mapping of chapter 3 and the information function of chapter 5. It is hoped that the exposition conveys some of the fascinate that grows out of merging three otherwise distinct mathematical disciplines.
Item type: Books
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Item type Current library Home library Collection Call number Copy number Status Date due Barcode
Books Books National University - Manila LRC - Annex General Circulation General Education GC QA 279 .P85 1993 (Browse shelf(Opens below)) c.1 Available NULIB000005006

Includes bibliographical references and index.

Chapter1. Experimental design -- Chapter2.Optimal designs for scalar parameter system -- Chapter3. Information matrices -- Chapter4. Loewner optimality -- Chapter5. Real Optimality criteria -- Chapter6. Matrix means -- Chapter7. The general equivalence theorem -- Chapter8. Optimal moment matrices and optimal designs -- Chapter9. D-,A-,E-,T-optimality -- Chapter10. Admissibility of moment and information matrices -- Chapter11. Bayes designs and discrimination designs -- Chapter12. Efficient designs for finite sample -- Chapter13. Invariant design problem -- Chapter14. Kiefer optimality -- Chapter15. Rotatability and response surface designs .

The design problems originate from statistics, but are solved using special tools from linear algebra and convex analysis, such as the information matrix mapping of chapter 3 and the information function of chapter 5. It is hoped that the exposition conveys some of the fascinate that grows out of merging three otherwise distinct mathematical disciplines.

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