Behaviour of PDF of ρ = 1∕ϖ as estimator of the true distance. 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 an uncertainty of σ_ϖ = 0.3 mas.