Optimal design of experiments (Record no. 39895)

MARC details
000 -LEADER
fixed length control field 01855nam a2200193 a 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9780898716047
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 0898716047
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.5
Item number PUK
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Pukelsheim, Friedrich
245 ## - TITLE STATEMENT
Title Optimal design of experiments
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Philadelphia :
Name of publisher SIAM/Society for Industrial and Applied Mathematics,
Year of publication ©2006.
300 ## - PHYSICAL DESCRIPTION
Number of Pages xxix, 454 pages :
Other physical details illustrations ;
490 ## - SERIES STATEMENT
Series statement Classics in applied mathematics, 50.
500 ## - GENERAL NOTE
General note Bibliography & Index
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Experimental designs in linear models --<br/>Optimal designs for scalar parameter systems --<br/>Information matrices --<br/>Loewner optimality --<br/>Real optimality criteria --<br/>Matrix means --<br/>The general equivalence theorem --<br/>Optimal moment matrices and optimal designs --<br/>D-, A-, E-, T-optimality --<br/>Admissibility of moment and information matrices --<br/>Bayes designs and discrimination designs --<br/>Efficient designs for finite sample sizes --<br/>Invariant design problems --<br/>Kiefer optimality --<br/>Rotatibility and response surface designs.
520 ## - SUMMARY, ETC.
Summary, etc Optimal Design of Experiments offers a rare blend of linear algebra, convex analysis, and statistics. The optimal design for statistical experiments is first formulated as a concave matrix optimization problem. Using tools from convex analysis, the problem is solved generally for a wide class of optimality criteria such as D-, A-, or E-optimality. The book then offers a complementary approach that calls for the study of the symmetry properties of the design problem, exploiting such notions as matrix majorization and the Kiefer matrix ordering. The results are illustrated with optimal designs for polynomial fit models, Bayes designs, balanced incomplete block designs, exchangeable designs on the cube, rotatable designs on the sphere, and many other examples.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Experimental design.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Reference Books
Holdings
Collection code Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Koha item type
Reference Main Library Main Library Reference 19/09/2008 Purchased 12597.00 519.5 PUK 011284 Reference Books
Reference Main Library Main Library Stacks 15/06/2010 Purchased 11625.00 519.5 PUK 012089 Lending Books

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