Robustness in Statistics - 1st Edition - ISBN: 9780124381506, 9781483263366

Robustness in Statistics

1st Edition

Editors: Robert L. Launer Graham N. Wilkinson
eBook ISBN: 9781483263366
Imprint: Academic Press
Published Date: 1st January 1979
Page Count: 312
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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

Details

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

About the Editor

Robert L. Launer

Graham N. Wilkinson

Ratings and Reviews