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… 
Optimality of the maximum likelihood estimator in astrometry
Context. Astrometry relies on the precise measurement of the positions and motions of celestial objects. Driven by the ever-increasing accuracy of astrometric measurements, it is important to
Analysis of the Bayesian Cramér-Rao lower bound in astrometry - Studying the impact of prior information in the location of an object
TLDR
The Bayesian CR bound can be used as a benchmark indicator of the expected maximum positional precision of a set of astrometric measurements in which prior information can be incorporated.
Performance of an Algorithm for Estimation of Flux, Background, and Location on One-dimensional Signals
Optimal estimation of signal amplitude, background level, and photocenter location is crucial to the combined extraction of astrometric and photometric information from focal plane images, in
Investigation and application of fitting models for centering algorithms in astrometry
To determine the precise positions of stars in CCD frames, various centering algorithms have been proposed for astrometry. The effective point spread function (ePSF) and the Gaussian centering
Characterizing the astrometric precision limit for moving targets observed with digital-array detectors
Aims. We investigate the maximum astrometric precision that can be reached on moving targets observed with digital-sensor arrays, and provide an estimate for its ultimate lower limit based on the
Subject Index to Volume 127 (2015)
The Mid-Infrared Instrument for the James Webb Space Telescope, II: Design and Build — G. S. Wright, David Wright, G. B. Goodson, G. H. Rieke, Gabby Aitink-Kroes, J. Amiaux, Ana Aricha-Yanguas,

References

SHOWING 1-9 OF 9 REFERENCES
Position calibration of microphones and loudspeakers in distributed computing platforms
We present a novel algorithm to automatically determine the relative three-dimensional (3-D) positions of audio sensors and actuators in an ad-hoc distributed network of heterogeneous general purpose
Astrometry for astrophysics : methods, models, and applications
The field of astrometry, the precise measurement of the positions, distances and motions of astronomical objects, has been revolutionized in recent years. As we enter the high-precision era, it will
To Measure the Sky: An Introduction to Observational Astronomy
The second edition of this popular text provides undergraduates with a quantitative yet accessible introduction to the physical principles underlying the collection and analysis of observational data
An Introduction To Statistical Signal Processing
TLDR
This volume describes the essential tools and techniques of statistical signal processing and offers a wide variety of examples of the most popular random process models and their basic uses and properties.
Fundamentals Of Statistical Signal Processing
Gaia technical report
  • IAU Colloq. 48: Modern Astrometry,
  • 1978
A detailed analytical study of the optimality of the ML method
  • 2013