Bootstrap Methods : With Applications in R / by Gerhard Dikta, Marsel Scheer.

Format:

Book

Author/Creator:

Dikta, Gerhard, 1955- author.

Scheer, Marsel, author.

Language:

English

Subjects (All):

Statistics.

Biometry.

Bioinformatics.

Statistical Theory and Methods.

Biostatistics.

Local Subjects:

Statistical Theory and Methods.

Biostatistics.

Bioinformatics.

Physical Description:

1 online resource (XVI, 256 p. 36 illus., 29 illus. in color.)

Edition:

1st ed. 2021.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2021.

Summary:

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.

Contents:

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.

Notes:

Includes bibliographical references and index.

ISBN:

9783030734800

3030734803

OCLC:

1263871908