Mathematics – Probability
Scientific paper
Sep 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cfdd.confe..68b&link_type=abstract
Chandra's First Decade of Discovery, Proceedings of the conference held 22-25 September, 2009 in Boston, MA. Edited by Scott Wo
Mathematics
Probability
Source Catalogs, Software
Scientific paper
Stacking is a powerful and increasingly common technique for the analysis of celestial sources undetected in the x-ray band. However, it has a number of significant drawbacks. These include a lack of error bars, the loss of information on individual sources, handling of outliers (i.e., bright detections) and the problems of negative net counts (and potentially negative stacked mean intensities). We present an alternative Bayesian method based on a full probability model for the observed counts and source intensities. Using this model, we can obtain estimates of individual source intensities (including luminosities, where redshifts are available) in addition to conventional stacked values. Furthermore, all these estimates have statistically valid error bars. This new method is demonstrated using both a simulated sample with known x-ray properties and a sample of SDSS galaxies. The latter includes a binned analysis of luminosity by absolute magnitude and redshift. We provide Python implementations of our key algorithms.
Aldcroft Tom
Anderson Scott
Blocker Alexander
Constantin Anca
Green Paul J.
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