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Introduction to the Bootstrap

An introduction to the bootstrap/Brad Efron Rob Tibshirani. p. em. Includes bibliographical references. ISBN 0-412-04231-2. 1. Bootstrap (Statistics).



An Introduction to Bootstrap

Efron Bradley. An introduction to the bootstrap I Brad Efron



An Introduction to the Bootstrap

Introduction to the. Bootstrap. Bradley Efron. Department of Statistics. Stanford University and. Robert J. Tibshirani. Department of Preventative Medicine 



Better Bootstrap Confidence Intervals

Bradley Efron is Professor of Statistics and Biostatistics Department The bias-corrected bootstrap intervals previously intro- duced by Efron (1981



A Leisurely Look at the Bootstrap the Jackknife

https://www.jstor.org/stable/2685844



Book Reviews

An Introduction to the Bootstrap. Bradley Efron and Robert J. Tibshirani. Computer-Intensive Statistical Methods: Validation Model. Selection and Bootstrap.



Bootstrap Confidence Intervals

3 189-228. Bootstrap Confidence Intervals. Thomas J. DiCiccio and Bradley Efron. Abstract. This article surveys bootstrap methods for producing good.



A 250-YEAR ARGUMENT: BELIEF BEHAVIOR

https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.306.4592&rep=rep1&type=pdf



Front Matter

677 An Introduction to the Bootstrap (Bradley Efron and Robert J. Tibshirani) Siva Sivaganesan. 678 Parallel Numerical Algorithms (T. L. Freeman and C.



A 250-year argument: Belief behavior

https://www.ams.org/bull/2013-50-01/S0273-0979-2012-01374-5/S0273-0979-2012-01374-5.pdf

An

Introduction

tothe

Bootstrap

BradleyEfron

DepartmentofStatistics

StanfordUniversity

and

RobertJ.Tibshirani

CHAPMAN&HALLICRC

BocaRatonLondonNewYorkWashington,D.C.

Contents

1Introduction

1 1.1

Anoverviewofthisbook

6 1.2

Informationforinstructors

8 1.3

Someofthenotationusedinthebook

9

2Theaccuracyofasamplemean

10

2.1Problems

15

3-Randomsamplesandprobabilities

17

3.1Introduction

17 3.2

Randomsamples

17

3.3.Probabilitytheory

20

3.4Problems

28
principle 31

4.1Introduction

31
4.2

Theempiricaldistributionfunction

31
4.3

Theplug-inprinciple

35

4.4Problems

37
39

5.1Introduction

39
5.2

Thestandarderrorofamean

39
5.3

Estimatingthestandarderrorof.themean

42

5.4Problems

43
Viii

CONTENTS

6

Thebootstrapestimateofstandarderror

45

6.1Introduction

45
6.2

Thebootstrapestimateofstandarderror

45
6.3

Example:thecorrelationcoefficient

49
6.4

ThenumberofbootstrapreplicationsB

50
6.5

Theparametricbootstrap

53
6.6

Bibliographicnotes

56

6.7Problems

57

7Bootstrapstandarderrors:someexamples

60

7.1Introduction

60
7.2

Example1:testscoredata

61
7.3

Example2:curvefitting

70
7.4

Anexampleofbootstrapfailure

81
7.5

Bibliographicnotes

81

7.6Problems

82

8Morecomplicateddatastructures

86

8.1Introduction

86
8.2

One-sampleproblems

86
8.3

Thetwo-sampleproblem

88
8.4

Moregeneraldatastructures

908.5

Example:lutenizinghormone

928.6

Themovingblocksbootstrap

99
8.7

Bibliographicnotes

1028.8Problems

103

9Regressionmodels

1059.1Introduction

1059.2

Thelinearregressionmodel

1059.3

Example;thehormonedata

1079.4

Applicationofthebootstrap

1119.5

1139.6

Example:thecellsurvivaldata

115
9.7

Leastmedianofsquares

1179.8

Bibliographicnotes

1219.9Problems

121

10Estimatesofbias

12,1

10.1Introduction

124

1.0.2Thebootstrapestimateofbias

124

10.3Example:thepatchdata

126

10.4Animprovedestimateofbias

130

10.5Thejackknifeestimateofbias

133

10.6Biascorrection

138

10.7Bibliographicnotes

139

10.8Problems

139

11Thejackknife

141

11.1Introduction

141

11.2Definitionofthejackknife

141

11.3Example:testscoredata

143

11.4Pseudo-values

145
145

11.6Failureofthejackknife

148

11.7Thedelete-djackknife

149

11.8Bibliographicnotes

149

11.9Problems

150

12.1Introduction

153

12.2Somebackgroundonconfidenceintervals

155
sistests 156

12.4Student'stinterval

158

12.5Thebootstrap-tinterval

160

12.6Transformationsandthebootstrap-t

162

12.7Bibliographicnotes

166

12.8Problems

166

13Confidenceintervalsbasedonbootstrap

percentiles 168

13.1Introduction

168

13.2Standardnormalintervals

168

13.3Thepercentileinterval

170

13.4Isthepercentileintervalbackwards?

174

13.5Coverageperformance

174

13.6Thetransformation-respectingproperty

175

13.7Therange-preservingproperty

176

13.8Discussion

176

CONTENTS

13.9Bibliographicnotes

176

13.10Problems

177

14Betterbootstrapconfidenceintervals

178

14.1Introduction

178

14.2Example:thespatialtestdata

179

14.3TheBCdmethod

184

14.4TheABCmethod

188

14.5Example:thetoothdata

190

14.6Bibliographicnotes

199

14.7Problems

199

15Permutationtests

202

15.1Introduction

202

15.2Thetwo-sampleproblem

202

15.3Otherteststatistics

210
intervalsandthebootstrap 214

15.5Bibliographicnotes

quotesdbs_dbs17.pdfusesText_23
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