Bootstrap Methods - Gerhard Dikta, Marsel Scheer

Bootstrap Methods

With Applications in R
Buch | Softcover
XVI, 256 Seiten
2022 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-73482-4 (ISBN)
85,59 inkl. MwSt
This book provides a compact introduction to the bootstrap method. In addition to classical results on point estimation and test theory, multivariate linear regression models and generalized linear models are covered in detail. Special attention is given to the use of bootstrap procedures to perform goodness-of-fit tests to validate model or distributional assumptions. In some cases, new methods are presented here for the first time.



The text is motivated by practical examples and the implementations of the corresponding algorithms are always given directly in R in a comprehensible form. Overall, R is given great importance throughout. Each chapter includes a section of exercises and, for the more mathematically inclined readers, concludes with rigorous proofs. The intended audience is graduate students who already have a prior knowledge of probability theory and mathematical statistics.

Gerhard Dikta has been a full-time professor at the Department of Medical Engineering and Technomathematics within the University of Applied Sciences, FH-Aachen, since 1993. He has also been an adjunct professor at the Department of Mathematics of the University of Wisconsin-Milwaukee since 2004. In addition to general problems in mathematical statistics, statistical modeling, simulation and optimization, his research interests and contributions are in survival analysis and, recently, in the development of statistical test methods for model verification. Marsel Scheer has been a data scientist at Bayer AG since 2019. He was head of biostatistics and software development at Myriad International GmbH (formerly Sividon Diagnostics GmbH) for 5 years and worked as a biometrician in diabetes research at the German Diabetes Center for 6 years. His research interests are in statistical learning and modeling, machine learning, simulation and software development.

Introduction.- Generating random numbers.- The classical bootstrap.- Bootstrap based tests.- Regression analysis.- Goodness of fit test for generalized linear models.- boot package.- s i mTool package.- boot GOF package.- Session Info.- Notation and References.- Index.

Erscheinungsdatum
Zusatzinfo XVI, 256 p. 36 illus., 29 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Informatik Weitere Themen Bioinformatik
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Studium Querschnittsbereiche Epidemiologie / Med. Biometrie
Naturwissenschaften Biologie
Schlagworte Bootstrap based tests • Experimental Design • Generalized Linear Models • Goodness of Fit Test • Longitudinal data analyis • Regression Analysis • Survival Analysis
ISBN-10 3-030-73482-X / 303073482X
ISBN-13 978-3-030-73482-4 / 9783030734824
Zustand Neuware
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