The Bootstrap and Edgeworth Expansion (Hardback)
The Bootstrap and Edgeworth Expansion (Hardback)
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GOOD: This book is in excellent condition, but because a previous owner’s name is written on the front end page, it can only be graded as good. No other pages have writing on them. The book was printed on acid-free paper.Product Details
This volume is part of theSpringer Series in Statistics .From the back cover: "Chapter 1 is about the bootstrap, with almost no mention of Edgeworth expansion; Chapter 2 is about Edgeworth expansion, with scarcely a word about the bootstrap; and Chapter 3 and 4 bring these two themes together, using Edgeworth expansion to explore and develop the properties of the bootstrap.
"This book is aimed at a graduate level audience who have some exposure to the methods of theoretical statistics. However, technical details are delayed until the last Chapter (entitled 'Details of Mathematical Rigour'), and so a mathematically able reader without knowledge of the rigorous theory of probability will have not trouble understanding the first four-fifths of the book.
"The book simultaneously fills two gaps in the literature: it provides a very readable graduate level account of the theory of Edgeworth expansion, and it gives a detailed introduction to the theory of bootstrap methods."
BRIEF CONTENTS
- Preface
- Common Notation
- 1. Principles of Bootstrap Methodology
- 2. Principles of Edgeworth Expansion
- 3. An Edgeworth View of the Bootstrap
- 4. Bootstrap Curve Estimation
- 5. Details of Mathematical Rigour
- Appendix I. Number and Sizes of Atoms of Nonparametric Bootstrap Distribution
- Appendix II. Monte Carlo Simulation
- Appendix III. Confidence Pictures
- Appendix IV. A Non-Standard Example: Quantile Error Estimation
- Appendix V. A Non-Edgeworth View of the Bootstrap
- References
- Author Index
- Subject Index
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PUBLISHER: Springer-Verlag
ISBN-13: 9780387977201
ISBN-10: 0387977201