An Introduction to the Bootstrap

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Author(s): Bradley Efron, Robert J. Tibshirani (auth.)
Series: Monographs on Statistics and Applied Probability 57
Publisher: Springer US
Year: 1993

Language: English
Pages: 452


Content:
Front Matter....Pages i-xvi
Introduction....Pages 1-9
The accuracy of a sample mean....Pages 10-16
Random samples and probabilities....Pages 17-30
The empirical distribution function and the plug-in principle....Pages 31-38
Standard errors and estimated standard errors....Pages 39-44
The bootstrap estimate of standard error....Pages 45-59
Bootstrap standard errors: some examples....Pages 60-85
More complicated data structures....Pages 86-104
Regression models....Pages 105-123
Estimates of bias....Pages 124-140
The jackknife....Pages 141-152
Confidence intervals based on bootstrap “tables”....Pages 153-167
Confidence intervals based on bootstrap percentiles....Pages 168-177
Better bootstrap confidence intervals....Pages 178-201
Permutation tests....Pages 202-219
Hypothesis testing with the bootstrap....Pages 220-236
Cross-validation and other estimates of prediction error....Pages 237-257
Adaptive estimation and calibration....Pages 258-270
Assessing the error in bootstrap estimates....Pages 271-282
A geometrical representation for the bootstrap and jackknife....Pages 283-295
An overview of nonparametric and parametric inference....Pages 296-320
Further topics in bootstrap confidence intervals....Pages 321-337
Efficient bootstrap computations....Pages 338-357
Approximate likelihoods....Pages 358-371
Bootstrap bioequivalence and power calculations: a case history....Pages 372-391
Discussion and further topics....Pages 392-397
Back Matter....Pages 398-436