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Bootstrap Methods = With Application...
~
Dikta, Gerhard.
Bootstrap Methods = With Applications in R /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Bootstrap Methods/ by Gerhard Dikta, Marsel Scheer.
Reminder of title:
With Applications in R /
Author:
Dikta, Gerhard.
other author:
Scheer, Marsel.
Description:
XVI, 256 p. 36 illus., 29 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Statistics . -
Online resource:
https://doi.org/10.1007/978-3-030-73480-0
ISBN:
9783030734800
Bootstrap Methods = With Applications in R /
Dikta, Gerhard.
Bootstrap Methods
With Applications in R /[electronic resource] :by Gerhard Dikta, Marsel Scheer. - 1st ed. 2021. - XVI, 256 p. 36 illus., 29 illus. in color.online resource.
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.
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.
ISBN: 9783030734800
Standard No.: 10.1007/978-3-030-73480-0doiSubjects--Topical Terms:
1253516
Statistics .
LC Class. No.: QA276-280
Dewey Class. No.: 519.5
Bootstrap Methods = With Applications in R /
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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.
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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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Mathematics and Statistics (R0) (SpringerNature-43713)
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