Estimating the slope in measurement error models - A different perspective

Research output: Contribution to journalArticlepeer-review


Motivated by a statistical model for the structural line segment relationship developed for computer vision applications we derive an estimator for the slope of a regression line in univariate measurement error models. We show that under the typical side conditions, this estimator coincides, in most cases, with the maximum likelihood estimator for the normal structural model. Its large sample properties are derived.

Original languageEnglish
Pages (from-to)215-223
Number of pages9
JournalStatistics and Probability Letters
Issue number3
StatePublished - 1 Mar 2005


  • Line-segment structural relationship
  • Measurement error
  • Method of moments
  • Regression slope

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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