Effect of Distance Errors: Applications to Sdss Early-type Galaxies

Noisy distance estimates associated with photometric rather than spectroscopic redshifts lead to a mis-estimate of the luminosities, and produce a correlated mis-estimate of the sizes. We consider a sample of early-type galaxies from the SDSS DR6 and apply the generalization of the Vmax method to correct for these biases. We show that our technique recovers the true redshift, magnitude and size distributions, as well as the true size-luminosity relation. Regardless the specific application outlined here, our method impacts a broader range of studies, when at least one distance-dependent quantity is involved.