Comparison of distances to the Sun (for pre-BOSS stars), d, calculated using the methodology followed in this work. The top left panel corresponds to the comparison of stars with 4.1 < log g< 4.4 and −2.0 < [Fe/H] < − 0.4, with distances calculated using the approach described by Schlesinger et al. (2012; see text). The top right panel shows distance estimates for the same sample following Ivezic et al. (2008). In the bottom left panel, distances based on parallaxes from the Hipparcos satellite are compared with our estimates for a sample of turn-off and giant stars with stellar parameters and metallicities from Ramirez et al. (2013) with 2.5 < log g< 4.1. The bottom right panel shows the comparison of distances calculated for a sample of SEGUE giants with 2.5 < log g< 3.5, compared with those obtained by Xue et al. (2014). Objects at | Z | > 5 kpc, calculated from our distance estimations, as well as their statistics, are shown in red.