Comparisons between Some Estimators in Functional Errors-in-Variables Regression Models.

Abstract

This report studies the functional errors-in-variables regression model. In the case of no equation error (all randomness due to measurement errors), the maximum likelihood estimator computed assuming normality is asymptotically better than the usual moments estimator, even if the errors are not normally distributed. For certain statistical problems such as randomized two group analysis of covariance, the least squares estimate is shown to be better than the aformentioned errors-in-variables methods for estimating certain important contrasts.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1982
Accession Number
ADA120391

Entities

People

  • Paul P. Gallo
  • Raymond J. Carroll

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Air Force
  • Asymptotic Normality
  • Cardiovascular Physiological Phenomena
  • Contrast
  • Data Science
  • Equations
  • Estimators
  • Information Science
  • Measurement
  • Method Of Moments
  • Normal Distribution
  • Normality
  • North Carolina
  • Probability
  • Random Variables
  • Statistical Algorithms
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.