Age and metallicity distributions before and after correction for selection effects. The normalized probability-density distributions of age (left panels) and [Fe/H] (right panels) are shown for the Splash (top panels) and high-α disk (bottom panels) samples. The gray and red histograms represent the observed distributions before correction and the selection-corrected distributions, respectively. The corrected distributions are calculated using normalized inverse-selection weights, ω_i ∝ 1/s_i, where s_i = s(τ_i, [Fe/H]_i, [α/Fe]_i). Each histogram is independently normalized to unit integral.