Optimal design and related areas in optimization and statistics

This edited volume, dedicated to Henry P. Wynn, reflects his broad range of research interests, focusing in particular on the applications of optimal design theory in optimization and statistics. It covers algorithms for constructingoptimal experimental designs, general gradient-type algorithms for convex optimization, majorization and stochastic ordering, algebraic statistics, Bayesian networks and nonlinear regression. Written by leading specialists in the field, each chapter contains a survey of the existing literature along with substantial new material. This work will appeal to both the specialist and the non-expert in the areas covered. By attracting the attention of experts in optimization to important interconnected areas, it should help stimulate further research with a potential impact on applications. Devoted to applications of the optimal design theory in optimization and statistics Provides comprehensive surveys written by leading generalists Each chapter reviews, analyzes, and extends the statistical literature with rigor and clarity INDICE: Preface.- B. Torsney: W-iterations and Ripples Therefrom.- R. Haycroft, L. Pronzato, H.P. Wynn, A. Zhigljavsky: Studying Convergence of GradientAlgorithms via Optimal Experimental Design Theory.- L. Pronzato, H.P. Wynn, A. Zhigljavsky: A Dynamical-System Analysis of the Optimum S-Gradient Algorithm.- A. Giovagnoli, J. Marzialetti, H.P. Wynn: Bivariate Dependence Orderings for Unordered Categorical Variables.- G. Pistone, E. Riccomagno, M.P. Rogantin: Methods in Algebraic Statistics for the Design of Experiments.- E. Riccomagno,J.Q. Smith:The Geometry of Causal Probability Trees that are Algebraically Constrained.- P.E. Caines, R. Deardon, H.P. Wynn: Bayes Nets of Time Series: Stochastic Realisations and Projections.- A. Pazman, L. Pronzato: Asymptotic Normality of Nonlinear Least Squares under Singular Experimental Designs.- A. Ivanov, N. Leonenko: Robust Estimators in Nonlinear Regression Models with Long-Range Dependence.- Index.

• ISBN: 978-0-387-79935-3
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 230
• Fecha Publicación: 01/12/2008
• Nº Volúmenes: 1
• Idioma: Inglés