Estimating Distance from Parallaxes. IV. Distances to 1.33 Billion Stars in Gaia Data Release 2

  title={Estimating Distance from Parallaxes. IV. Distances to 1.33 Billion Stars in Gaia Data Release 2},
  author={Coryn A. L. Bailer-Jones and Jan Rybizki and Morgan Fouesneau and Gregory Mantelet and Ren{\'e} Andrae},
  journal={The Astronomical Journal},
For the vast majority of stars in the second Gaia data release, reliable distances cannot be obtained by inverting the parallax. A correct inference procedure must instead be used to account for the nonlinearity of the transformation and the asymmetry of the resulting probability distribution. Here, we infer distances to essentially all 1.33 billion stars with parallaxes published in the second Gaia data release. This is done using a weak distance prior that varies smoothly as a function of… 

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