Behaviour of PDF of ρ = 1∕ϖ as estimator of the true distance for a simulation of the full Gaia DR2 data set. Left: histogram of differences between true parallaxes and observed parallaxes. Centre: histogram of differences between true distances and their estimation using ρ. Right: comparison of the true distances and their estimations using ρ. The observed parallaxes ϖ have been simulated using a realistic Gaia DR2 error model described in the Appendix. The contour lines correspond to the distribution percentiles of 35%, 55%, 90%, and 98%.
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