Optimal Design of Experiments is popular PDF and ePub book, written by Friedrich Pukelsheim in 2006-04-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Optimal Design of Experiments can be Read Online from any device for your convenience.
Optimal Design of Experiments Book PDF Summary
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.
Detail Book of Optimal Design of Experiments PDF
- Author : Friedrich Pukelsheim
- Release : 01 April 2006
- Publisher : SIAM
- ISBN : 9780898716047
- Genre : Mathematics
- Total Page : 527 pages
- Language : English
- PDF File Size : 18,8 Mb
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