
Optimal Design and Related Areas in Optimization and Statistics
Springer (Publisher)
Published on 2. December 2008
Book
Hardback
XV, 224 pages
978-0-387-79935-3 (ISBN)
Description
The present volume is a collective monograph devoted to applications of the optimal design theory in optimization and statistics. The chapters re?ect the topics discussed at the workshop "W-Optimum Design and Related Statistical Issues" that took place in Juan-les-Pins, France, in May 2005. The title of the workshop was chosen as a light-hearted celebration of the work of Henry Wynn. It was supported by the Laboratoire I3S (CNRS/Universit´ e de Nice, Sophia Antipolis), to which Henry is a frequent visitor. The topics covered partly re?ect the wide spectrum of Henry's research - terests. Algorithms for constructing optimal designs are discussed in Chap. 1, where Henry's contribution to the ?eld is acknowledged. Steepest-ascent - gorithms used to construct optimal designs are very much related to general gradientalgorithmsforconvexoptimization. Inthelasttenyears,asigni?cant part of Henry's research was devoted to the study of the asymptotic prop- ties of such algorithms. This topic is covered by Chaps. 2 and 3. The work by Alessandra Giovagnoli concentrates on the use of majorization and stoch- tic ordering, and Chap. 4 is a hopeful renewal of their collaboration. One of Henry's major recent interests is what is now called algebraic statistics, the application of computational commutative algebra to statistics, and he was partly responsible for introducing the experimental design sub-area, reviewed in Chap. 5. One other sub-area is the application to Bayesian networks and Chap. 6 covers this, with Chap. 7 being strongly related.
More details
Series
Edition
2009 ed.
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
23 s/w Abbildungen
XV, 224 p. 23 illus.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 18 mm
Weight
535 gr
ISBN-13
978-0-387-79935-3 (9780387799353)
DOI
10.1007/978-0-387-79936-0
Schweitzer Classification
Other editions
Additional editions

Luc Pronzato | Anatoly Zhigljavsky
Optimal Design and Related Areas in Optimization and Statistics
Book
09/2011
Springer
€106.99
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Luc Pronzato | Anatoly Zhigljavsky
Optimal Design and Related Areas in Optimization and Statistics
E-Book
07/2010
1st Edition
Springer
€96.29
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Content
W-Iterations and Ripples Therefrom.- Studying Convergence of Gradient Algorithms Via Optimal Experimental Design Theory.- A Dynamical-System Analysis of the Optimum s-Gradient Algorithm.- Bivariate Dependence Orderings for Unordered Categorical Variables.- Methods in Algebraic Statistics for the Design of Experiments.- The Geometry of Causal Probability Trees that are Algebraically Constrained.- Bayes Nets of Time Series: Stochastic Realizations and Projections.- Asymptotic Normality of Nonlinear Least Squares under Singular Experimental Designs.- Robust Estimators in Non-linear Regression Models with Long-Range Dependence.