The Jackknife, the Bootstrap, and Other Resampling Plans 9780898711790, 0-89871-179-7
The jackknife and the bootstrap are nonparametric methods for assessing the errors in a statistical estimation problem.
250 102 516KB
English Pages 103 Year 1982
Table of contents :
cover......Page 1
CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS......Page 2
The Jackknife, the Bootstrap and Other Resampling Plans......Page 3
Contents......Page 5
Preface......Page 9
CHAPTER 1 Introduction......Page 11
CHAPTER 2 The Jackknife Estimate of Bias......Page 15
CHAPTER 3 The Jackknife Estimate of Variance......Page 23
CHAPTER 4 Bias of the Jackknife Variance Estimate......Page 31
CHAPTER 5 The Bootstrap......Page 37
CHAPTER 6 The Infinitesimal Jackknife, the Delta Method and the Influence Function......Page 47
CHAPTER 7 Cross Validation, the Jackknife and the Bootstrap......Page 59
CHAPTER 8 Balanced Repeated Replications (Half-sampling)......Page 71
CHAPTER 9 Random Subsampling......Page 79
CHAPTER 10 Nonparametric Confidence Intervals......Page 85
References......Page 101
cover......Page 1
CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS......Page 2
The Jackknife, the Bootstrap and Other Resampling Plans......Page 3
Contents......Page 5
Preface......Page 9
CHAPTER 1 Introduction......Page 11
CHAPTER 2 The Jackknife Estimate of Bias......Page 15
CHAPTER 3 The Jackknife Estimate of Variance......Page 23
CHAPTER 4 Bias of the Jackknife Variance Estimate......Page 31
CHAPTER 5 The Bootstrap......Page 37
CHAPTER 6 The Infinitesimal Jackknife, the Delta Method and the Influence Function......Page 47
CHAPTER 7 Cross Validation, the Jackknife and the Bootstrap......Page 59
CHAPTER 8 Balanced Repeated Replications (Half-sampling)......Page 71
CHAPTER 9 Random Subsampling......Page 79
CHAPTER 10 Nonparametric Confidence Intervals......Page 85
References......Page 101
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