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Beschreibung
This textbook provides a unified and self-contained presentation of the main approaches to and ideas of mathematical statistics. It collects the basic mathematical ideas and tools needed as a basis for more serious study or even independent research in statistics. The majority of existing textbooks in mathematical statistics follow the classical asymptotic framework. Yet, as modern statistics has changed rapidly in recent years, new methods and approaches have appeared. The emphasis is on finite sample behavior, large parameter dimensions, and model misspecifications. The present book provides a fully self-contained introduction to the world of modern mathematical statistics, collecting the basic knowledge, concepts and findings needed for doing further research in the modern theoretical and applied statistics. This textbook is primarily intended for graduate and postdoc students and young researchers who are interested in modern statistical methods.
This textbook provides a unified and self-contained presentation of the main approaches to and ideas of mathematical statistics. It collects the basic mathematical ideas and tools needed as a basis for more serious study or even independent research in statistics. The majority of existing textbooks in mathematical statistics follow the classical asymptotic framework. Yet, as modern statistics has changed rapidly in recent years, new methods and approaches have appeared. The emphasis is on finite sample behavior, large parameter dimensions, and model misspecifications. The present book provides a fully self-contained introduction to the world of modern mathematical statistics, collecting the basic knowledge, concepts and findings needed for doing further research in the modern theoretical and applied statistics. This textbook is primarily intended for graduate and postdoc students and young researchers who are interested in modern statistical methods.
Über den Autor
Wolfgang Karl Härdle is Professor of Statistics at the Humboldt-Universität zu Berlin and the Director of CASE - the Centre for Applied Statistics and Economics. He teaches quantitative finance and semi-parametric statistical methods. His research focuses on dynamic factor models, multivariate statistics in finance and computational statistics. He is an elected member of the ISI and an advisor to the Guanghua School of Management, Peking University and to National Central University, Taiwan.
Vladimir Panov is a postdoctoral researcher at the University of Duisburg-Essen. His research interests include statistical inference on stochastic processes, especially on models based on Levy processes. Over the last several years he has worked as a research assistant at the Weierstrass Institute for Applied Analysis and Stochastics (Berlin), where he has focused on multidimensional statistical models.
Vladimir Spokoiny is a Professor at the Humboldt University of Berlin and focuses on applicable mathematical statistics. Weining Wang is a postdoctoral researcher at CASE - the Centre for Applied Statistics and Economics, where she teaches quantitative finance and semi-parametric statistical methods. Her research focuses on quantile regression and high-dimensional nonparametric models.
Weining Wang is a postdoctoral researcher at CASE - the Centre for Applied Statistics and Economics, where she teaches quantitative finance and semi-parametric statistical methods. Her research focuses on quantile regression and high-dimensional nonparametric models.
Zusammenfassung

The book provides a compact and self-contained introduction to modern mathematical statistics

Includes exercises and solution hints

Presents an overview of the main classical findings in mathematical statistics from a modern viewpoint

Inhaltsverzeichnis
Basic notions.- Parameter Estimation for an i.i.d. Model.- Regression Estimation.- Estimation in Linear Models.- Bayes Estimation.- Testing a Statistical Hypothesis.- Testing in Linear Models.- Some other Testing Methods.- Deviation Probability for Quadratic Forms.
Details
Erscheinungsjahr: 2016
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Texts in Statistics
Inhalt: xviii
296 S.
1 s/w Illustr.
296 p. 1 illus.
ISBN-13: 9783662513484
ISBN-10: 366251348X
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Spokoiny, Vladimir
Dickhaus, Thorsten
Auflage: Softcover reprint of the original 1st edition 2015
Hersteller: Springer
Springer Gabler
Springer-Verlag GmbH
Springer Texts in Statistics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 18 mm
Von/Mit: Vladimir Spokoiny (u. a.)
Erscheinungsdatum: 22.09.2016
Gewicht: 0,482 kg
Artikel-ID: 103170415