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Asymptotics in Statistics

Some Basic Concepts

  • Book
  • © 2000

Overview

Authors:
  1. Lucien Cam

    1. Department of Statistics, University of California Berkeley, Berkeley, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Grace Lo Yang

    1. Department of Mathematics, University of Maryland, College Park, USA

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    • Lucien Le Cam, Grace Lo Yang
    Pages 1-5

  3. Experiments, Deficiencies, Distances

    • Lucien Le Cam, Grace Lo Yang
    Pages 6-33

  4. Contiguity — Hellinger Transforms

    • Lucien Le Cam, Grace Lo Yang
    Pages 34-49

  5. Gaussian Shift and Poisson Experiments

    • Lucien Le Cam, Grace Lo Yang
    Pages 50-76

  6. Limit Laws for Likelihood Ratios

    • Lucien Le Cam, Grace Yang
    Pages 77-116

  7. Local Asymptotic Normality

    • Lucien Le Cam, Grace Lo Yang
    Pages 117-174

  8. Independent, Identically Distributed Observations

    • Lucien Le Cam, Grace Lo Yang
    Pages 175-239

  9. On Bayes Procedures

    • Lucien Le Cam, Grace Lo Yang
    Pages 240-262

  10. Back Matter

    Pages 263-287
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Keywords

About this book

by Sara van de Geer. Also, we did not include material due to David Donoho, lain Johnstone, and their school. We found our­ selves unprepared to write a distillate of the material. We did touch briefly on "nonparametrics," but not on "semiparamet­ rics." This is because we feel that the semiparametric situation has not yet been properly structured. We hope that the reader will find this book interesting and challenging, in spite of its shortcomings. The material was typed in LaTeX form by the authors them­ selves, borrowing liberally from the 1990 script by Chris Bush. It was reviewed anonymously by distinguished colleagues. We thank them for their kind encouragement. Very special thanks are due to Professor David Pollard who took time out of a busy schedule to give us a long list of suggestions. We did not follow them all, but we at least made attempts. We wish also to thank the staff of Springer-Verlag for their help, in particular editor John Kimmel, who tried to make us work with all deliberate speed. Thanks are due to Paul Smith, Te-Ching Chen and Ju-Yi-Yen, who helped with the last-minute editorial corrections.

Reviews

From the reviews:

SHORT BOOK REVIEWS

"It is a very valuable book giving a coherent view of the basic concept and tools of the asymptotic theory in statistical inference."

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

"…short and mathematically very sophisticated. Its approach is modern and undoubtedly profound."

Authors and Affiliations

  • Department of Statistics, University of California Berkeley, Berkeley, USA

    Lucien Cam

  • Department of Mathematics, University of Maryland, College Park, USA

    Grace Lo Yang

Bibliographic Information

  • Book Title: Asymptotics in Statistics

  • Book Subtitle: Some Basic Concepts

  • Authors: Lucien Cam, Grace Lo Yang

  • Series Title: Springer Series in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-1166-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2000

  • Hardcover ISBN: 978-0-387-95036-5Published: 28 July 2000

  • Softcover ISBN: 978-1-4612-7030-0Published: 17 October 2012

  • eBook ISBN: 978-1-4612-1166-2Published: 06 December 2012

  • Series ISSN: 0172-7397

  • Series E-ISSN: 2197-568X

  • Edition Number: 2

  • Number of Pages: XIII, 287

  • Topics: Statistical Theory and Methods, Applications of Mathematics

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