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Asymptotics in Statistics

Some Basic Concepts

  • Lucien Le Cam
  • Grace Lo Yang

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

Table of contents

  1. Front Matter
    Pages i-viii
  2. Lucien Le Cam, Grace Lo Yang
    Pages 1-4
  3. Lucien Le Cam, Grace Lo Yang
    Pages 5-18
  4. Lucien Le Cam, Grace Lo Yang
    Pages 19-30
  5. Lucien Le Cam, Grace Lo Yang
    Pages 52-98
  6. Lucien Le Cam, Grace Lo Yang
    Pages 99-145
  7. Lucien Le Cam, Grace Lo Yang
    Pages 146-165
  8. Lucien Le Cam, Grace Lo Yang
    Pages 166-175
  9. Back Matter
    Pages 176-180

About this book

Introduction

In the summer of 1968 one of the present authors (LLC) had the pleasure of giving a sequence of lectures at the University of Mon­ treal. Lecture notes were collected and written out by Drs. Catherine Doleans, Jean Haezendonck and Roch Roy. They were published in French by the Presses of the University of Montreal as part of their series of Seminaires de Mathematiques Superieures. Twenty years later it was decided that a Chinese translation could be useful, but upon prodding by Professor Shanti Gupta at Purdue we concluded that the notes should be updated and rewritten in English and in Chinese. The present volume is the result of that effort. We have preserved the general outline of the lecture notes, but we have deleted obsolete material and sketched some of the results acquired during the past twenty years. This means that while the original notes concentrated on the LAN situation we have included here some results of Jeganathan and others on the LAMN case. Also included are versions of the Hajek-Le Cam asymptotic minimax and convolution theorems with some of their implications. We have not attempted to give complete coverage of the subject and have often stated theorems without indicating their proofs.

Keywords

DEX LAN Statistica Variance boundary element method construction field form functions likelihood maximum presentation statistical inference statistics theorem

Authors and affiliations

  • Lucien Le Cam
    • 1
  • Grace Lo Yang
    • 2
  1. 1.Department of StatisticsUniversity of California-BerkeleyBerkeleyUSA
  2. 2.Department of MathematicsUniversity of MarylandCollege ParkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-0377-0
  • Copyright Information Springer-Verlag New York 1990
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-0379-4
  • Online ISBN 978-1-4684-0377-0
  • Series Print ISSN 0172-7397
  • Buy this book on publisher's site