Bootstrap Methods: With Applications in R

Bootstrap Methods: With Applications in R

Author
Gerhard Dikta, Marsel Scheer
Publisher
Springer
Language
English
Edition
1st ed. 2021
Year
2021
Page
272
ISBN
303073479X,9783030734794
File Type
pdf
File Size
13.6 MiB

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.

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