Example of DPDF_px construction from trigonometric parallax measurements. Left: Gaussians in parallax with μ_px = 0.20 mas (μ_px = 0.10 mas) and σ_px = 0.03 mas are plotted in black (gray). The full-width error bars (i.e., μ ± σ) are shown in red (cyan). Middle: interpolation of the parallax functions onto a linear distance scale, where d_☉ =1/π_s. The corresponding full-width error bars are shown in red (cyan). Right: size of the full-width distance error bar as a function of parallax measurement uncertainty and heliocentric distance. The curves shown represent the lower bound on the uncertainty (σ_π = 0.005 mas), a typical value (σ_π = 0.03 mas), and a poorly constrained parallax measurement (σ_π = 0.10 mas). The red and cyan stars identify the examples at left, and the gray dashed line marks the 1:1 relationship.