Estimating the Cramer-Rao Bound for Astronomical Observations: Application to the Richardson-Lucy Algorithm

Details Estimating the Cramer-Rao Bound for Astronomical Observations: Application to the Richardson-Lucy Algorithm Estimating the Cramer-Rao Bound for Astronomical Observations: Application to the Richardson-Lucy Algorithm

Feb 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996apj...458..742z&link_type=abstract

Astrophysical Journal v.458, p.742

Astronomy and Astrophysics

Astronomy

2

Methods: Analytical, Methods: Data Analysis

Scientific paper

This work addresses the problem of assigning confidence intervals to restored data obtained by applying the Richardson-Lucy algorithm to astronomical observations. The proposed solution is to estimate the Cramér-Rao bound, which describes the minimum obtainable mean square error associated with a given estimate of a parameter. This paper presents a compact method for describing the bound for Richardson-Lucy estimates. It was developed based on previously described bounds for linear restoration techniques such as Wiener filter estimates. Both one- and two-dimensional examples are presented.

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