The Bootstrap and Edgeworth Expansion by Peter Hall

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Summary

and Chapters 3 and 4 bring these two themes together, using Edgeworth expansion to explore and develop the properites of the bootstrap. 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.

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The Bootstrap and Edgeworth Expansion by Peter Hall

This monograph addresses two quite different topics, in the belief that each can shed light on the other. Firstly, it lays the foundation for a particular view of the bootstrap. Secondly, it gives an account of Edgeworth expansion. Chapter 1 is about the bootstrap, witih almost no mention of Edgeworth expansion; Chapter 2 is about Edgeworth expansion, with scarcely a word about the bootstrap; and Chapters 3 and 4 bring these two themes together, using Edgeworth expansion to explore and develop the properites of the bootstrap. The book is aimed a a graduate level audience who has some exposure to the methods of theoretical statistics. However, technical details are delayed until the last chapter (entitled Details of Mathematical Rogour), and so a mathematically able reader without knowledge of the rigorous theory of probability will have no 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.
"..an up-to-date and comprehensive account of the title theme...provides a path to several major research frontiers in the bootstrap literature." - Journal of the American Statistical Association
SKU Unavailable
ISBN 13 9780387945088
ISBN 10 0387945083
Title The Bootstrap and Edgeworth Expansion
Author Peter Hall
Series Springer Series In Statistics
Condition Unavailable
Binding Type Paperback
Publisher Springer-Verlag New York Inc.
Year published 1995-05-09
Number of pages 354
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.