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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 constructing optimal 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.

Mathematical optimization.. --- Optimal designs (Statistics). --- Statistics. --- Optimal designs (Statistics) --- Mathematical optimization --- Civil & Environmental Engineering --- Mathematics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Mathematical Statistics --- Operations Research --- Mathematical optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematics. --- Algorithms. --- Operations research. --- Management science. --- Probabilities. --- Optimization. --- Probability Theory and Stochastic Processes. --- Operations Research, Management Science. --- Statistics, general. --- Algorithm Analysis and Problem Complexity. --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Experimental design --- Distribution (Probability theory. --- Computer software. --- Algorism --- Algebra --- Arithmetic --- Software, Computer --- Computer systems --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Foundations --- Statistics . --- Quantitative business analysis --- Management --- Problem solving --- Statistical decision --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk

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Numerical methods of optimisation --- Mathematics --- Computer. Automation --- toegepaste wiskunde --- automatisering --- kansrekening --- optimalisatie

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This book gives an overview of singular spectrum analysis (SSA). SSA is a technique of time series analysis and forecasting combining elements of classical time series analysis, multivariate statistics, multivariate geometry, dynamical systems and signal processing. SSA is multi-purpose and naturally combines both model-free and parametric techniques, which makes it a very special and attractive methodology for solving a wide range of problems arising in diverse areas. Rapidly increasing number of novel applications of SSA is a consequence of the new fundamental research on SSA and the recent progress in computing and software engineering which made it possible to use SSA for very complicated tasks that were unthinkable twenty years ago. In this book, the methodology of SSA is concisely but at the same time comprehensively explained by two prominent statisticians with huge experience in SSA. The book offers a valuable resource for a very wide readership, including professional statisticians, specialists in signal and image processing, as well as specialists in numerous applied disciplines interested in using statistical methods for time series analysis, forecasting, signal and image processing. The second edition of the book contains many updates and some new material including a thorough discussion on the place of SSA among other methods and new sections on multivariate and multidimensional extensions of SSA.

Statistical science --- Electronics --- Engineering sciences. Technology --- Computer. Automation --- DIP (documentimage processing) --- digitale signaalverwerking --- beeldverwerking --- spraaktechnologie --- signal processing --- biostatistiek --- statistiek --- signaalprocessoren --- signaalverwerking

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This comprehensive and richly illustrated volume provides up-to-date material on Singular Spectrum Analysis (SSA). SSA is a well-known methodology for the analysis and forecasting of time series. Since quite recently, SSA is also being used to analyze digital images and other objects that are not necessarily of planar or rectangular form and may contain gaps. SSA is multi-purpose and naturally combines both model-free and parametric techniques, which makes it a very special and attractive methodology for solving a wide range of problems arising in diverse areas, most notably those associated with time series and digital images. An effective, comfortable and accessible implementation of SSA is provided by the R-package Rssa, which is available from CRAN and reviewed in this book. Written by prominent statisticians who have extensive experience with SSA, the book (a) presents the up-to-date SSA methodology, including multidimensional extensions, in language accessible to a large circle of users, (b) combines different versions of SSA into a single tool, (c) shows the diverse tasks that SSA can be used for, (d) formally describes the main SSA methods and algorithms, and (e) provides tutorials on the Rssa package and the use of SSA. The book offers a valuable resource for a very wide readership, including professional statisticians, specialists in signal and image processing, as well as specialists in numerous applied disciplines interested in using statistical methods for time series analysis, forecasting, signal and image processing. The book is written on a level accessible to a broad audience and includes a wealth of examples; hence it can also be used as a textbook for undergraduate and postgraduate courses on time series analysis and signal processing.

Statistics. --- Computer graphics. --- Computer software. --- Statistical Theory and Methods. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Mathematical Software. --- Statistics for Business/Economics/Mathematical Finance/Insurance. --- Statistics and Computing/Statistics Programs. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Mathematical statistics. --- Computer vision. --- Statistics --- Computer programs. --- Statistics for Business, Management, Economics, Finance, Insurance. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Software, Computer --- Computer systems --- Machine vision --- Vision, Computer --- Artificial intelligence --- Image processing --- Pattern recognition systems --- Statistical inference --- Statistics, Mathematical --- Probabilities --- Sampling (Statistics) --- Statistics . --- Optical data processing. --- Optical computing --- Visual data processing --- Bionics --- Electronic data processing --- Integrated optics --- Photonics --- Computers --- Optical equipment --- R (Computer language program).

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Statistical science --- Electronics --- Engineering sciences. Technology --- Computer. Automation --- DIP (documentimage processing) --- digitale signaalverwerking --- beeldverwerking --- spraaktechnologie --- signal processing --- biostatistiek --- statistiek --- signaalprocessoren --- signaalverwerking