Estimating the Cramer-Rao bound for restored astronomical observations

Details Estimating the Cramer-Rao bound for restored astronomical observations Estimating the Cramer-Rao bound for restored astronomical observations

Feb 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apj...439l..43z&link_type=abstract

Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 439, no. 2, p. L43-L45

Statistics

1

Astronomical Photometry, Error Analysis, Image Processing, Imaging Techniques, Mean Square Values, Statistical Analysis, Confidence Limits, Estimates, Image Reconstruction, Random Noise, Variance (Statistics), Wiener Filtering

Scientific paper

This work addresses the problem of assigning confidence intervals to estimated photometry data obtained from astronomical observations. The proposed solution is to estimate the Cramer-Rao bound, which is an analytical expression that describes the minimum obtainable mean square error associated with a given estimate of a parameter. This Letter presents a compact and simple form for the bound associated with a linear estimator such as a Wiener filter estimator. A prescription for estimating the variance associated with each element in a restored object was developed using an analytical model for observed data corrupted by either Poisson or Gaussian noise. Both one- and two-dimensional examples are presented.

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