Empirical distribution of the redshift samples draws (in blue) from the uniform in comoving volume distribution (top left), the merger rate model of Eq. 2 (top right) for z_p = 1.9, γ = 2.7, Κ = 2.9, and the merger rate model in the case of time delay model described by Eq. 4 (bottom) for d = −1, Gyrs. The analytical expressions of the distributions are plotted in orange dashed curves. Results obtained using the parameters values given in Table 4.