Underlying eccentricity distribution of kinematic thick- versus thin-disk stars, modeled as Rayleigh distributions. The thick-disk e distributions are shown in red, and the thin-disk e distributions are shown in blue. The shaded regions represent the 1σ uncertainties. The dashed lines represent the location of the expected value 〈e〉 for each distribution, and the shaded vertical regions correspond to the 1σ uncertainty on 〈e〉.