Title
Geometric View of Measurement Errors
Abstract
The slope of the best fit line from minimizing the sum of the squared oblique errors is the root of a polynomial of degree four. This geometric view of measurement errors is used to give insight into the performance of various slope estimators for the measurement error model including an adjusted fourth moment estimator introduced by Gillard and Iles (2005) to remove the jump discontinuity in the estimator of Copas (1972). The polynomial of degree four is associated with a minimun deviation estimator. A simulation study compares these estimators showing improvement in bias and mean squared error.
Year
DOI
Venue
2011
10.1080/03610918.2011.575503
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Keywords
DocType
Volume
Maximum likelihood estimation,Measurement errors,Moment estimation,Oblique errors
Journal
40
Issue
ISSN
Citations 
9
0361-0918
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Diarmuid O'Driscoll100.34
Donald E. Ramirez225.85