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Robust Asymptotic Statistics

  • Helmut Rieder
Book

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

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Helmut Rieder
    Pages 1-37
  3. Helmut Rieder
    Pages 39-70
  4. Helmut Rieder
    Pages 71-122
  5. Helmut Rieder
    Pages 123-164
  6. Helmut Rieder
    Pages 165-218
  7. Helmut Rieder
    Pages 219-260
  8. Helmut Rieder
    Pages 261-330
  9. Back Matter
    Pages 331-391

About this book

Introduction

1 To the king, my lord, from your servant Balasi : 2 ... The king should have a look. Maybe the scribe who reads to the king did not understand . . . . shall I personally show, with this tablet that I am sending to the king, my lord, how the omen was written. 3 Really, he who has not followed the text with his finger cannot possibly understand it. This book is about optimally robust functionals and their unbiased esti­ mators and tests. Functionals extend the parameter of the assumed ideal center model to neighborhoods of this model that contain the actual distri­ bution. The two principal questions are (F): Which functional to choose? and (P): Which statistical procedure to use for the selected functional? Using a local asymptotic framework, we deal with both problems by linking up nonparametric statistical optimality with infinitesimal robust­ ness criteria. Thus, seemingly separate developments in robust statistics are presented in a unifying way.

Keywords

Estimator Likelihood Parametric statistics Variance linear regression statistics

Authors and affiliations

  • Helmut Rieder
    • 1
  1. 1.Lehrstühl VII für MathematikUniversität BayreuthBayreuthGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-0624-5
  • Copyright Information Springer-Verlag New York 1994
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-0626-9
  • Online ISBN 978-1-4684-0624-5
  • Series Print ISSN 0172-7397
  • Buy this book on publisher's site
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