Robustness in Statistics

Robustness in Statistics

1st Edition - January 1, 1979

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  • Editors: Robert L. Launer, Graham N. Wilkinson
  • eBook ISBN: 9781483263366

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Description

Robustness in Statistics contains the proceedings of a Workshop on Robustness in Statistics held on April 11-12, 1978, at the Army Research Office in Research Triangle Park, North Carolina. The papers review the state of the art in statistical robustness and cover topics ranging from robust estimation to the robustness of residual displays and robust smoothing. The application of robust regression to trajectory data reduction is also discussed. Comprised of 14 chapters, this book begins with an introduction to robust estimation, paying particular attention to iteration schemes and error structure of estimators. Sensitivity and influence curves as well as their connection with jackknife estimates are described. The reader is then introduced to a simple analog of trimmed means that can be used for studying residuals from a robust point-of-view; a class of robust estimators (called P-estimators) based on the location and scale-invariant Pitman estimators of location; and robust estimation in the presence of outliers. Subsequent chapters deal with robust regression and its use to reduce trajectory data; tests for censoring of extreme values, especially when population distributions are incompletely defined; and robust estimation for time series autoregressions. This monograph should be of interest to mathematicians and statisticians.

Table of Contents


  • Contributors

    Preface

    Abstracts of Manuscripts

    An Introduction to Robust Estimation

    The Robustness of Residual Displays

    Robust Smoothing

    Robust Pitman-like Estimators

    Robust Estimation in the Presence of Outliers

    Study of Robustness by Simulation: Particularly Improvement by Adjustment and Combination

    Robust Techniques for the User

    Application of Robust Regression to Trajectory Data Reduction

    Tests for Censoring of Extreme Values (Especially) When Population Distributions Are Incompletely Defined

    Robust Estimation for Time Series Autoregressions

    Robust Techniques in Communication

    Robustness in the Strategy of Scientific Model Building

    A Density-Quantile Function Perspective on Robust Estimation

    Robust Inference-The Fisherian Approach

    Author Index

    Subject Index

Product details

  • No. of pages: 312
  • Language: English
  • Copyright: © Academic Press 1979
  • Published: January 1, 1979
  • Imprint: Academic Press
  • eBook ISBN: 9781483263366

About the Editors

Robert L. Launer

Graham N. Wilkinson

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