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Introduction to the ­Bootstrap
Chapman & Hall/CRC Monographs on Statistics & Applied Probability

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Format
Hardback, 456 pages
Published
United States, 15 May 1994

An exploration of the many different bootstrap techniques. It discusses useful statistical techniques through real data examples and covers nonparametric regression, density estimation, classification trees, and least median squares regression. There are numerous exercises that provide hands-on experience in applying the concepts, and there are descriptions of a number of different computer programs for the methods discussed.


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Product Description

An exploration of the many different bootstrap techniques. It discusses useful statistical techniques through real data examples and covers nonparametric regression, density estimation, classification trees, and least median squares regression. There are numerous exercises that provide hands-on experience in applying the concepts, and there are descriptions of a number of different computer programs for the methods discussed.

Product Details
EAN
9780412042317
ISBN
0412042312
Other Information
references
Dimensions
23.4 x 15.2 x 2.8 centimeters (0.75 kg)

Table of Contents

Preface 1 Introduction 3 -Random samples and probabilities 4 The empirical distribution function and the plug-in principle 5 Standard errors and estimated standard errors 6 The bootstrap estimate of standard error 7 Bootstrap standard errors: some examples 8 More complicated data structures 9 Regression models 10 Estimates of bias 11 The jackknife 12 Confidence intervals based on bootstrap “tables” 13 Confidence intervals based on bootstrap percentiles 14 Better bootstrap confidence intervals 15 Permutation tests 16 Hypothesis testing with the bootstrap 17 Cross-validation and other estimates of prediction error 18 Adaptive estimation and calibration 19 Assessing the error in bootstrap estimates 20 A geometrical representation for the bootstrap and jackknife 21 An overview of nonparametric and parametric Inference 22 Further topics in bootstrap confidence intervals 23 Efficient bootstrap computations 24 Approximate likelihoods 25 Bootstrap bioequivalence 26 Discussion and further topics

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About the Author

Bradley Efron, Department of Statistics Stanford University and Robert J. Tibshirani, Department of Preventative Medicine and Biostatistics and Department of Statistics, University of Toronto.

Reviews

"...an excellent book, and worth a reading by most students and practitioners in statistics... Throughout the book, the authors have spent a lot of effort in introducing difficult ideas in a simple, easy-to-understand manner..."
- Hong Kong Statistical Society Newsletter

"... written in a style that makes difficult statistical concepts easy to understand ...a wonderful text for the engineer who would like to apply and understand the many different bootstrap techniques that have appeared in the literature in the last fifteen years. It makes an excellent reference text that should grace the shelves of both statisticians and non-statisticians."
- Journal of Quality Technology

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