The Use of Influence Functions for Outlier Detection and Data Editing.

Abstract

Hampel's influence function (J. Amer. Statist. Assoc. 69, pp. 383-393) has been used in recent years for evaluating robust estimators, detecting outliers, computing asymptotic variances for estimators, and for hypothesis testing. In this report, the use of influence functions for various parameters is proposed, not only as a tool for outlier detection, but also as a method for replacing outliers and/or missing observations. This approach is illustrated on the estimation for the variance of a distribution and it is pointed out how the method can be applied in simple linear regression problems. This approach can be extended to more complex regression type applications such as the estimation of the orbit parameters of a satellite.

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Document Details

Document Type
Technical Report
Publication Date
Sep 15, 1982
Accession Number
ADA120561

Entities

People

  • M. R. Chernick
  • V. K. Murthy

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Anomaly Detection
  • Change Detection
  • Classification
  • Coefficients
  • Data Analysis
  • Data Science
  • Databases
  • Detection
  • Distribution Functions
  • Estimators
  • Information Science
  • New York
  • Normal Distribution
  • Observation
  • Orbital Elements
  • Statistical Algorithms

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Statistical inference.

Technology Areas

  • Space
  • Space - Space Objects