Optimal Design of Experiments

Framsida
Society for Industrial and Applied Mathematics, 1 apr 2006 - 454 sidor
1 Recension
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.

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JSTOR: Optimal Design of Experiments
Optimal Design of Experiments, by Friedrich PUKELSHEIM, New York: John Wiley, 1993, xxiii + 454 pp., $69.95. The linear notes accurately state that this ...
links.jstor.org/ sici?sici=0040-1706(199405)36%3A2%3C214%3AODOE%3E2.0.CO%3B2-C

Global Optimization Problems in Optimal Design of Experiments in ...
In this paper we show that optimal design of experiments, a specific topic in statistics, constitutes a challenging application field for global ...
portal.acm.org/ citation.cfm?id=596356& jmp=cit& coll=GUIDE& dl=GUIDE& CFID=15151515& CFTOKEN=6184618

Journal of Statistical Planning and Inference : Optimal design of ...
Optimal design of experiments for modeling processes with feedback control .... The purpose of this paper is to study the optimal design of experiments for ...
linkinghub.elsevier.com/ retrieve/ pii/ S0378375801003056

Optimal Design of Experiments
Optimal Design of Experiments. Buy a book... In Association with Amazon.co.uk. Author(s): F. Pukelsheim. Publisher: SIAM. ISBN: 0898716047. Format: softback ...
www.booknews.co.uk/ Books/ Book4316.html

Robustness Aspects in Parameter Estimation, Optimal Design of ...
Parameter estimation and optimal design of experiments are important ...... Pukelsheim, P.: Optimal Design of Experiments. John Wiley & Sons, Inc., New ...
www.springerlink.com/ index/ h46180t77577p223.pdf

Friedrich Pukelsheim - Publikationen
a, Optimal Design of Experiments. Classics in Applied Mathematics, Volume 50, xxx + 454 Seiten. Society for Industrial and Applied Mathematics: Philadelphia ...
www.math.uni-augsburg.de/ stochastik/ pukelsheim/ publikationen.html

Optimal Design of Experiments for Modeling Processes with Feedback ...
Feedback control schemes have been widely used in many engineering applications for a long time. Despite this, there has been very little work done on ...
citeseer.ist.psu.edu/ xu99optimal.html

Blackwell Synergy - Aust nzj Stat, Volume 49 Issue 1 Page 109-110 ...
Optimal Design of Experiments. New York. : John Wiley & Sons. •. Schwabe, R. (1996). Optimum Designs for Multi-factor Models. Lecture Notes in Statistics ...
www.blackwell-synergy.com/ doi/ abs/ 10.1111/ j.1467-842X.2006.00460.x

Stat 591: Advanced Design of Experiments Rutgers University Fall ...
Contents. Lecture 1. Strategy of Experimentation I. 1. 1. Introduction. 1. 2. Stategy of Experimentation. 1. 3. Two Level Factorial Experiments ...
www.stat.rutgers.edu/ ~buyske/ 591/ lect_all.pdf

Ooptimal design of dose response experiments: A model-oriented ...
Pukelsheim F. Optimal Design of Experiments. New York, NY: Wiley; 1993. ... The Optimal Design of Experiments for Estimation in Nonlinear Model. ...
findarticles.com/ p/ articles/ mi_qa3899/ is_200110/ ai_n8958903/ pg_1

Om författaren (2006)

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 MetrikaInternational Journal for Theoretical and Applied Statistics.

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