An Asymptotic Theory for Logistic Regression When Some Predictors Are Measured with Error.

Abstract

This document considers a local measurement error theory for logistic regression which is applied to four different methods: ordinary logistic regression without accounting for measurement error, a functional maximum likelihood estimate, an estimate based on linearizing the logistic function and an estimator conditioned on certain appropriate sufficient statistics. This asymptotic theory includes a bias-variance trade off, which is used to construct new estimators with better asymptotic and small sample properties. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1983
Accession Number
ADA145673

Entities

People

  • L. A. Stefanski
  • Raymond J. Carroll

Organizations

  • University of North Carolina at Chapel Hill

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  • Asymptotic Normality
  • Attenuation
  • Cardiovascular Diseases
  • Cardiovascular Physiological Phenomena
  • Consistency
  • Covariance
  • Data Science
  • Equations
  • Heart Diseases
  • Information Science
  • Measurement
  • North Carolina
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Fields of Study

  • Mathematics

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  • Approximation Theory.
  • Operations Research