© 2000

Asymptotics in Statistics

Some Basic Concepts


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

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Lucien Le Cam, Grace Lo Yang
    Pages 1-5
  3. Lucien Le Cam, Grace Lo Yang
    Pages 6-33
  4. Lucien Le Cam, Grace Lo Yang
    Pages 34-49
  5. Lucien Le Cam, Grace Lo Yang
    Pages 50-76
  6. Lucien Le Cam, Grace Yang
    Pages 77-116
  7. Lucien Le Cam, Grace Lo Yang
    Pages 117-174
  8. Lucien Le Cam, Grace Lo Yang
    Pages 175-239
  9. Lucien Le Cam, Grace Lo Yang
    Pages 240-262
  10. Back Matter
    Pages 263-287

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.


Asymptotic Statistics Asymptotic Theory Likelihood Statistical Inference Variance linear optimization mathematical statistics

Authors and affiliations

  1. 1.Department of StatisticsUniversity of California BerkeleyBerkeleyUSA
  2. 2.Department of MathematicsUniversity of MarylandCollege ParkUSA

Bibliographic information

  • Book Title Asymptotics in Statistics
  • Book Subtitle Some Basic Concepts
  • Authors Lucien Le Cam
    Grace Lo Yang
  • Series Title Springer Series in Statistics
  • DOI
  • Copyright Information Springer-Verlag New York, Inc. 2000
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-95036-5
  • Softcover ISBN 978-1-4612-7030-0
  • eBook ISBN 978-1-4612-1166-2
  • Series ISSN 0172-7397
  • Edition Number 2
  • Number of Pages XIII, 287
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Statistical Theory and Methods
    Applications of Mathematics
  • Buy this book on publisher's site
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From the reviews:


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


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