# Performance Analysis of the Least-Squares Estimator in Astrometry

@article{Lobos2015PerformanceAO, title={Performance Analysis of the Least-Squares Estimator in Astrometry}, author={Rodrigo A. Lobos and Jorge F. Silva and Rene A. Mendez and Marcos E. Orchard}, journal={Publications of the Astronomical Society of the Pacific}, year={2015}, volume={127}, pages={1166 - 1182} }

We characterize the performance of the widely used least-squares estimator in astrometry in terms of a comparison with the Cramér–Rao lower variance bound. In this inference context the performance of the least-squares estimator does not offer a closed-form expression, but a new result is presented (Theorem 1) where both the bias and the mean-square-error of the least-squares estimator are bounded and approximated analytically, in the latter case in terms of a nominal value and an interval…

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