Geometric View of Measurement Errors

Details Geometric View of Measurement Errors Geometric View of Measurement Errors

2010-08-07

arxiv.org/abs/1008.1298v1

Communications in Statistics - Simulation and Computation, Volume 40, Issue 9 October 2011 , pages 1373 - 1382

Mathematics

Statistics Theory

Scientific paper

10.1080/03610918.2011.575503

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.

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