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.
- Line-segment structural relationship
- Measurement error
- Method of moments
- Regression slope
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty