Optimal Design of Experiments

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9780471619710: Optimal Design of Experiments
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Devoted to a unified optimality theory, merging three otherwise distinct mathematical disciplines to embrace an astonishingly wide variety of design problems. Outlines typical settings, namely D-, A-, and E-optimal, polynominal regression designs, Bayesian designs, structures for model discrimination, balanced incomplete block arrangements or rotatable response surface designs. The design problems stem from statistics but are solved using special tools from linear algebra and convex analysis.

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Book Description:

Optimal Design of Experiments offers a rare blend of linear algebra, convex analysis, and statistics. Since the book's 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.

About the Author:

Friedrich Pukelsheim is Chair of Stochastics and Its Applications at the Institute for Mathematics, University of Augsburg, Germany. He is a member of the Institute of Mathematical Statistics, the International Statistical Institute, and Deutsche Mathematiker-Vereinigung. He serves as editor of Metrika—International Journal for Theoretical and Applied Statistics.

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9780898716047: Optimal Design of Experiments (Classics in Applied Mathematics)

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ISBN 10:  0898716047 ISBN 13:  9780898716047
Publisher: Society for Industrial and Appli..., 2006
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Pukelsheim, Friedrick
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Friedrick Pukelsheim
Published by Wiley-Interscience (1993)
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