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Model-Oriented Design of Experiments : Graduate Texts in Mathematics - Valerii V. Fedorov

Model-Oriented Design of Experiments

Graduate Texts in Mathematics

Paperback Published: 20th June 1997
ISBN: 9780387982151
Number Of Pages: 132

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This is author-approved bcc: Optimal design of experiments is an essential component of any research that aims at the estimation of unknown parameters, at model validation, or the comparison and selection of the best among several competing models. The authors' goals are to explain the basic ideas and to create interest in modern problems of experimental design. The topics discussed include designs for inference based on nonlinear models, designs for models with random parameters and stochastic processes, designs for model discrimination and incorrectly specified (contaminated) models, and examples of designs in functional spaces. As the authors avoid technical details, the book assumes only a moderate background in calculus, matrix algebra, and statistics. However, at many places, hints are given how the reader may enhance and adopt the basic ideas for advanced problems or applications. This will allow the book to be used for courses at different levels, and it will be a useful reference for graduate students and researchers in statistics and engineering. Valerii V. Fedorov is Senior Reseacher at Oak Ridge National Laboratory and author of "The Theory of Optimal Experiments." Peter Hackl is Professor of Statistics at the University of Economics and Business Administration in Vienna, Austria, and President of the Austrian Statistical Society.

Introductionp. 1
Some Facts From Regression Analysisp. 7
Convex Design Theoryp. 21
Numerical Techniquesp. 45
Optimal Design under Constraintsp. 57
Special Cases and Applicationsp. 69
Some Results from Matrix Algebrap. 107
B: List of Symbolsp. 109
Referencesp. 111
Indexp. 113
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387982151
ISBN-10: 0387982159
Series: Graduate Texts in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 132
Published: 20th June 1997
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.55 x 15.62  x 0.94
Weight (kg): 0.18