Can I read Optimal Design of Experiments (Classics in Applied Mathematics, Series Number 50) on EtoBox?

Optimal Design of Experiments (Classics in Applied Mathematics, Series Number 50) by Friedrich Pukelsheim; Society for Industrial and Applied Mathematics is a nonfiction available to read on EtoBox.

What is Optimal Design of Experiments (Classics in Applied Mathematics, Series Number 50) about?

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. Since the bookвЂTMs initial publication in 1993, readers have used its methods to derive optimal designs on the circle, optimal mixture designs, and optimal designs in other statistical models. Using local linearization techniques, the methods described in the book prove useful even for nonlinear cases, in identifying practical designs of experiments. Audience This book is indispensable for anyone involved in planning

Who reads Optimal Design of Experiments (Classics in Applied Mathematics, Series Number 50)?

Author

Friedrich Pukelsheim; Society for Industrial and Applied Mathematics

Publisher

Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)

Published

2006

Language

EN

ISBN

9780898716047

Category

nonfiction

Subjects

Mathematics, Stem