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The Bootstrap and Edgeworth Expansion

  • Book
  • © 1992


Part of the book series: Springer Series in Statistics (SSS)

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About this book

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.

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Table of contents (5 chapters)


" 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

Authors and Affiliations

  • Centre for Mathematics and its Applications, Australian National University, Canberra, Australia

    Peter Hall

  • CSIRO Division of Mathematics and Statistics, Sydney, Australia

    Peter Hall

Bibliographic Information

  • Book Title: The Bootstrap and Edgeworth Expansion

  • Authors: Peter Hall

  • Series Title: Springer Series in Statistics

  • DOI:

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1992

  • Hardcover ISBN: 978-0-387-97720-1Published: 09 January 1992

  • Softcover ISBN: 978-0-387-94508-8Published: 09 May 1995

  • eBook ISBN: 978-1-4612-4384-7Published: 01 December 2013

  • Series ISSN: 0172-7397

  • Series E-ISSN: 2197-568X

  • Edition Number: 1

  • Number of Pages: XIV, 354

  • Topics: Statistics, general

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