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Modern statistics deals with large and complex data sets, and consequently with models containing a large number of parameters. This book presents a detailed account of recently developed approaches, including the Lasso and versions of it for various models, boosting methods, undirected graphical modeling, and procedures controlling false positive selections. A special characteristic of the book is that it contains comprehensive mathematical theory on high-dimensional statistics combined with methodology, algorithms and illustrations with real data examples. This in-depth approach highlights the methods’ great potential and practical applicability in a variety of settings. As such, it is a valuable resource for researchers, graduate students and experts in statistics, applied mathematics and computer science.

Statistical science --- Operational research. Game theory --- Mathematical statistics --- stochastische analyse --- informatietechnologie --- statistisch onderzoek --- Statistics --- Computer Science --- Smoothness of functions --- Nonconvex programming --- Least absolute deviations (Statistics) --- Linear models (Statistics) --- Mathematical statistics. --- Computer science. --- Statistical Theory and Methods. --- Probability and Statistics in Computer Science. --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Probabilities --- Sampling (Statistics) --- Informatics --- Science --- Statistical methods --- Statistique mathématique --- Modules, théorie des --- Programmation non convexe --- Modèles linéaires (Statistique) --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Statistics . --- Statistical analysis --- Statistical data --- Econometrics --- 303.0 --- 304.0 --- 305.976 --- AA / International- internationaal --- 519.2 --- Smooth functions --- Functions --- Global optimization --- Non-convex programming --- Programming (Mathematics) --- Models, Linear (Statistics) --- Mathematical models --- Absolute deviations, Least (Statistics) --- Absolute values, Least (Statistics) --- Deviations, Least absolute (Statistics) --- LAD (Statistics) --- Least absolute values (Statistics) --- Values, Least absolute (Statistics) --- Least squares --- Statistische technieken in econometrie. Wiskundige statistiek (algemene werken en handboeken) --- Zuivere statistische analyse (algemene naslagwerken). Tijdreeksen --- Algoritmen. Optimisatie --- 519.2 Probability. Mathematical statistics --- Probability. Mathematical statistics --- Multivariate analysis.