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Basics of Modern Mathematical Statistics

Basics of Modern Mathematical Statistics - Free Ebook Download

Book Detail

Author/Editor(s): Vladimir Spokoiny, Thorsten Dickhaus
Publication Date: October 26, 2014
ISBN-10: 3642399088
ISBN-13: 978-3642399084
Language: English
Edition: 2015
Publisher: Springer
Size: 1.93 MB
Format: pdf

Book Description

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 studies 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.

About the Author

Vladimir Spokoiny defended his PhD at the Lomonosoff State University Moscow in 1988. Since 2000 he has been the head of the research group “Nonparametric Statistics” at the Weierstrass Institute Berlin, and since 2002 he has served as a professor of Statistics and Economics at the Humboldt University Berlin.

Thorsten Dickhaus received his Ph. D. from Heinrich-Heine-University Düsseldorf in 2008. After postdoc positions at the German Diabetes Center Düsseldorf and Berlin Institute of Technology, he became a junior professor of Mathematical Statistics at the Humboldt University Berlin in 2010.

Reviews

The book ‘Basics of model mathematical statistics’ is built as a series of focused exercises revolving around parameter estimation, linear models, Bayesian estimation and statistical hypothesis testing. … This book is a valuable resource for undergraduates and post-graduates alike. The detailed proofs and the R code and output make it a must have for the understanding of modern mathematical statistics.

--Irina Ioana Mohorianu, zbMATH, Vol. 1286 (1), 2014
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