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Selection Functions in Astronomical Data Modeling, with the Space Density of White Dwarfs as a Worked Example

  • Authors: Hans-Walter Rix, David W. Hogg, Douglas Boubert, Anthony G. A. Brown, Andrew Casey, Ronald Drimmel, Andrew Everall, Morgan Fouesneau, and Adrian M. Price-Whelan

2021 The Astronomical Journal 162 142.

  • Provider: AAS Journals

Caption: Figure 4.

Distribution of the candidate WD sample (after the astrometric fidelity cut) in the (BG) vs. (GR) color–color plane. The density distribution shows a sharp ridge where our objects of interest are located, objects with SEDs (or colors) of single WDs. The left panel shows the full color distribution, which exhibits a subset with an enormous spread in colors: most are presumably binaries, involving a WD (possibly with an accretion disk) and a low-mass star. The color cut, shown in the right panel as the blue line, eliminates most of those, while preserving ≥95% of spectroscopically confirmed WDs. This is an example of a sample selection cut that leaves the selection function for the objects of interest essentially unaffected. It simply makes the sample purer, lessening the need to explicitly model contamination.

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