Empirical survival function of the observed giant radio galaxy projected proper length RV (ESF; dark grey) and the corresponding survival function 1 − F_{Lp, obs | Lp, obs > lp, GRG} (SF; green curve) using the maximum a posteriori probability parameters (MAP; see Table 4). Observed GRG projected lengths are well described by a Pareto distribution modified to include selection effects. Keeping the selection effect parameters fixed, we show how models vary with tail index ξ (green range). We also show the selection effect–free SF 1 − F_{Lp | Lp > lp, GRG} using the MAP ξ (green dots). We included all LoTSS DR2 search campaign giants up to z_max = 0.5. Left: logarithmic horizontal axis and linear vertical axis. Right: logarithmic horizontal axis and logarithmic vertical axis.