Performance Analysis of the Least-Squares Estimator in Astrometry

  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},
  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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