Upper panel: Mean (black line) and 1σ (shaded region) of the velocity offset distribution as a function of UV magnitude (Eq. (4)). Lower panel: PDF of the Lyman-alpha rest-frame equivalent widths. The dashed black and red curves represent the distribution of the equivalent widths (W) for Lyman-α emitters (Eq. (7)). The equivalent widths of the nonemitters are described by a delta function at W = 0 Å (not shown) normalized such that the integral of the PDF is 1. The distribution is shown for M_UV=−18.5 and –21.5.