000 | 01614nam a2200217Ia 4500 | ||
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003 | NULRC | ||
005 | 20250520100534.0 | ||
008 | 250520s9999 xx 000 0 und d | ||
020 | _a047161971X | ||
040 | _cNULRC | ||
050 | _aQA 279 .P85 1993 | ||
100 |
_aPukelsheim, Friedrich _eauthor |
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245 | 0 |
_aOptimal design of experiments / _cFriedrich Pukelsheim |
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260 |
_aNew York : _bJohn Wiley & Son, Inc., _cc1993 |
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300 |
_axxiii, 454 pages; _c24 cm. |
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504 | _aIncludes bibliographical references and index. | ||
505 | _aChapter1. 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 . | ||
520 | _aThe 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. | ||
650 | _aEXPERIMENTAL DESIGN | ||
942 |
_2lcc _cBK |
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999 |
_c7247 _d7247 |