Left panel: distributions of distances in CF3S (solid orange line) and in a typical mock catalog with distance errors included (biased mock, dashed brown line). Right panel: distribution of radial peculiar velocities in CF3S (solid line histogram) and in the biased mock catalog (dashed histogram). A large tail toward negative values is observed in both distributions. The distribution associated to the mock catalog without errors (unbiased mock, dotted brown line histogram) has a nearly Gaussian radial peculiar velocity distribution.